Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic157 |
| Sylow | C157 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101980, D16×Dic157, SD32×Dic157, … |
| maximal normal subgroup of | #34101980, D16×Dic157, SD32×Dic157, … |
| maximal quotient of | D8×#11929434, #34098966, #34099021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 632);