Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C22×#17985870 |
| Fitting | C23×C4⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C22×#385 |
8670 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2912 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 327872);