Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×Q8×D28 |
| Fitting | C42×C7×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C4×D4×Q8 |
3148 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 329437);