Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22 |
| direct product | D3×#4466 |
| Sylow | C32 ⋊ C2×#347 |
359 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#347, #72222739, D3×#70918, … |
| maximal normal subgroup of | D32×#347, #72222739, D3×#70918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 29935);