Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097704 |
| Sylow | C157 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100028, C4×#19097704, #34100032, … |
| maximal normal subgroup of | #34100028, C4×#19097704, #34100032, … |
| maximal quotient of | C2×#23757025, #34098894, #34098910, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 582);