Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D4×#14556042 |
| Fitting | D4×C22⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ D4×#99 |
2102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2272 |
1805 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 184887);