Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D4×Q8×D181 |
| Fitting | D4×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5792 |
2300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 17980);