Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×D7×M32 |
| Fitting | C4×C7×M32 ⋊ C2 |
| Sylow | C7 ⋊ C2×C4×M32 |
918 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 322195);