Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097682 |
| Sylow | C157 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34097966, #34097980, #34098017, … |
| maximal normal subgroup of | #34097966, #34097980, #34098017, … |
| maximal quotient of | C2×#23756995, #34098423, #34098428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 498);