Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C3×C42 |
| direct product | #97×C3⋊Dic3 |
| Sylow | C32 ⋊ C4×#97 |
1080 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1152 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C4×C3⋊D3×#97 |
| maximal normal subgroup of | C4×C3⋊D3×#97 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 17028);