Finite Group DatabasebetaFinite Group Databasebeta| order | 22592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D5648 |
| Fitting | C2×C16×C353 ⋊ C2 |
| Sylow | C353 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11296 |
5654 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22592, 970);