Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×#833 |
| Sylow | C32 ⋊ C22×#100 |
2077 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#5241, C2×D3×#5077, C2×D32×#100 |
| maximal normal subgroup of | C2×D3×#5241, C2×D3×#5077, C2×D32×#100 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91605);