{"group ", "BinaryCubic", "also called ", "BinaryCubic", "conjclasInfo ", "Co\ njugacy Classes of group \ BinaryCubic\n--------------------------------------\n[1] Order 1 \ Length 1 \n Rep [ 1 0]\n [ 0 1]\n\n[2] Order 2 \ Length 1 \n Rep [ 2 0]\n [ 0 2]\n\n[3] Order \ 3 Length 8 \n Rep [ 1 1]\n [ 0 1]\n\n[4] \ Order 4 Length 6 \n Rep [ 1 2]\n [ 2 2]\n\n[5] \ Order 4 Length 12 \n Rep [w^2 0]\n [w^2 \ w^6]\n\n[6] Order 6 Length 8 \n Rep [ 2 1]\n \ [ 0 2]\n\n[7] Order 8 Length 6 \n Rep [ 0 w^6]\n \ [w^6 w^2]\n\n[8] Order 8 Length 6 \n Rep [w^6 \ w^6]\n [w^6 0]\n\n\n", "centralizerInfo ", "[\n MatrixGroup(2, \ GF(3^2)) of order 2^4 * 3\n Generators:\n [ 2 1]\n [ 0 \ 2]\n\n [w^6 w^6]\n [w^6 0],\n\n MatrixGroup(2, GF(3^2)) of \ order 2^4 * 3\n Generators:\n [ 2 1]\n [ 0 2]\n\n \ [w^6 w^6]\n [w^6 0]\n\n [ 2 0]\n [ 0 2],\n\n \ MatrixGroup(2, GF(3^2)) of order 2 * 3\n Generators:\n [ 2 0]\n \ [ 0 2]\n\n [ 2 0]\n [ 0 2]\n\n [ 2 \ 0]\n [ 0 2]\n\n [ 1 2]\n [ 0 1]\n\n [ 1 \ 1]\n [ 0 1]\n\n [ 2 0]\n [ 0 2],\n\n \ MatrixGroup(2, GF(3^2)) of order 2^3\n Generators:\n [ 2 0]\n \ [ 0 2]\n\n [ 2 1]\n [ 1 1]\n\n [w^6 w^6]\n \ [w^6 0]\n\n [ 2 0]\n [ 0 2],\n\n \ MatrixGroup(2, GF(3^2)) of order 2^2\n Generators:\n [ 2 0]\n \ [ 0 2]\n\n [w^6 0]\n [w^6 w^2]\n\n [ 2 0]\n \ [ 0 2],\n\n MatrixGroup(2, GF(3^2)) of order 2 * 3\n \ Generators:\n [ 2 0]\n [ 0 2]\n\n [ 2 0]\n \ [ 0 2]\n\n [ 2 0]\n [ 0 2]\n\n [ 1 2]\n \ [ 0 1]\n\n [ 1 1]\n [ 0 1]\n\n [ 2 0]\n \ [ 0 2],\n\n MatrixGroup(2, GF(3^2)) of order 2^3\n \ Generators:\n [ 2 0]\n [ 0 2]\n\n [w^6 w^6]\n \ [w^6 0]\n\n [w^6 w^6]\n [w^6 0]\n\n [ 2 1]\n \ [ 1 1]\n\n [ 2 0]\n [ 0 2],\n\n MatrixGroup(2, \ GF(3^2)) of order 2^3\n Generators:\n [ 2 0]\n [ 0 \ 2]\n\n [w^6 w^6]\n [w^6 0]\n\n [w^6 w^6]\n [w^6 \ 0]\n\n [ 2 1]\n [ 1 1]\n\n [ 2 0]\n [ \ 0 2]\n]\n", "card[group] ", 48, "\[Lambda]max ", 56, "centralgrading[group] ", {8, 8, 6, 8, 4, 6, 8, 8}, "qdimlist ", {1, 1, 2, 2, 2, 3, 3, 4, 1, 1, 2, 2, 2, 3, 3, 4, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6}, "dimA ", 2304, "horizontalDimensions ", {56, 56, 108, 108, 108, 160, 160, 212, 56, 56, 108, 108, 108, 160, 160, 212, 360, 360, 360, 360, 360, 360, 280, 280, 280, 280, 280, 280, 280, 280, 520, 520, 520, 520, 360, 360, 360, 360, 360, 360, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 280}, "dimB ", 4793216, "smallrank ", 8, "smalldim ", {1, 1, 2, 2, 2, 3, 3, 4}}