Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C4×#90261 |
| Sylow | C7 ⋊ C4×#557 |
2220 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1792 |
340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 329569);