Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#89637 |
| Fitting | C4×C7×#106 ⋊ C2 |
| Sylow | C7 ⋊ C4×#469 |
1170 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
232 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 176214);