Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097689 |
| Sylow | C157 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099931, C4×#19097689, #34100058, … |
| maximal normal subgroup of | #34099931, C4×#19097689, #34100058, … |
| maximal quotient of | C2×#23756998, #34098459, #34098465, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 528);