Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097832 |
| Sylow | C157 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
646 conjugacy classes — view the full character table.
| maximal subgroup of | #34115233, #34115234, C4×#19097832, … |
| maximal normal subgroup of | #34115233, #34115234, C4×#19097832, … |
| maximal quotient of | C2×#23758118, C2×#23758119, #34115378, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1533);