Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×#815 |
| Sylow | C32 ⋊ C22×#97 |
1433 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D32×#97 |
| maximal normal subgroup of | C2×D32×#97 |
| maximal quotient of | #72222740 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91138);