Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C28 |
| direct product | C3×#84052 |
| Fitting | C23×C32×D4 ⋊ C2 |
| Sylow | C32 ⋊ #2403 |
3809 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
234 conjugacy classes — view the full character table.
| maximal subgroup of | #72214860, #72252260, C3×#10943957 |
| maximal normal subgroup of | #72214860, #72252260, C3×#10943957 |
| maximal quotient of | C3×#10826599, C3×#10826481, C3×#10826746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 42995);