Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#22597608 |
| Fitting | C22×H(5,𝔽2)×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#3008 |
5254 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
2444 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1035972);