Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#17986038 |
| Fitting | C22×#106×C71 ⋊ C2 |
| Sylow | C71 ⋊ C22×#428 |
3182 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2048 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1033220);