Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#22599425 |
| Fitting | C2×#433×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#3223 |
2022 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2012 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1040953);