Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C29 |
| direct product | C2×#11737351 |
| Fitting | C2×C7×C8×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#2988 |
2434 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
376 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1034614);