Finite Group DatabasebetaFinite Group Databasebeta| order | 22432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#14584149 |
| unambiguous semidirect product | D701⋊(C4⋊C4) |
| Fitting | C2×C4×C701 ⋊ C4 |
| Sylow | C701 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5608 |
1420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22432, 224);