Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1256 |
| Sylow | C157 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
2518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098316, #34098318, #34098328, … |
| maximal normal subgroup of | #34098316, #34098318, #34098328, … |
| maximal quotient of | C2×#23757078, C2×#23757099, C4×Dic1256, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 977);