Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#11735994 |
| Fitting | C2×C7×#405 ⋊ C2 |
| Sylow | C7 ⋊ C2×C4×#131 |
3366 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1032971);