Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C2×#11742954 |
| Fitting | C2×C7×#520 ⋊ C2 |
| Sylow | C7 ⋊ C2×C4×H(5,𝔽2) |
12378 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1076170);