Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C22×#89254 |
| Fitting | C22×C4×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C22×D4⋊C8 |
1886 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, 135911);