Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097840 |
| unambiguous semidirect product | D157⋊#107 |
| Fitting | C2×C8×C157 ⋊ C4 |
| Sylow | C157 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
652 conjugacy classes — view the full character table.
| maximal subgroup of | #34115193, #34115194, #34115211, … |
| maximal normal subgroup of | #34115193, #34115194, #34115211, … |
| maximal quotient of | C2×#23758136, D157⋊#335, C2×#23758137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1558);