Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C2×C4×#14556173 |
| Fitting | C22×C4×D4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×C4×H(5,𝔽2) |
12378 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
2936 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1076169);