Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| isoclinism | isoclinic class of #1141 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×Q8⋊(C7⋊C8) |
| Sylow | C7 ⋊ C4×Q8⋊C8 |
654 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1792 |
352 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 60165);