Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D7×#2213 |
| Fitting | C7×#2213 ⋊ C2 |
| Sylow | C7 ⋊ C2×#2213 |
790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
115 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#12310, D7×#12314, D7×#33688 |
| maximal normal subgroup of | D7×#12310, D7×#12314, D7×#33688 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 323944);