Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C16 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C16×D71 |
| Fitting | C2×C4×C16×C71 ⋊ C2 |
| derived, Sylow | C71 ⋊ C22×C4×C16 |
1022 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
4736 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 322189);