Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24 |
| direct product | D7×#1376 |
| Fitting | C7×#1376 ⋊ C2 |
| Sylow | C7 ⋊ C2×#1376 |
670 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 84419);