Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42 |
| direct product | #97×C7⋊C8 |
| Sylow | C7 ⋊ C8×#97 |
606 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1792 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 58919);