Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22×C4×D56 |
| Fitting | C22×C4×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C22×C4×D8 |
3694 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
496 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1033571);