Finite Group DatabasebetaFinite Group Databasebeta| order | 792 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic22 |
| unambiguous semidirect product | C11⋊(Q8×C9) |
| Hall | C9×C11 ⋊ Q8 |
| Sylow | C11 ⋊ Q8×C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 792 |
225 conjugacy classes — view the full character table.
| maximal subgroup of | #13096855, #13096856, #13096857, … |
| maximal normal subgroup of | #13096855, #13096856, #13096857, … |
| maximal quotient of | C9×Dic11⋊C4, C9×C4⋊Dic11, C2×C9×Dic22 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(792, 13);