Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#11727716 |
| Fitting | C22×C7×C22⋊C8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#2000 |
2526 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
304 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 196360);