Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D4×#6380 |
| Fitting | C7×D4×C22⋊C4 ⋊ C2 |
| Sylow | C7 ⋊ D4×#99 |
2102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
205 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 184887);