Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22×C3 |
| direct product | Q8×C3⋊(C3⋊C16) |
| Sylow | C32 ⋊ Q8×C16 |
402 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1152 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 32007);