Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×#84038 |
| Fitting | C23×C32×D4 ⋊ C2 |
| Sylow | C32 ⋊ #3003 |
2669 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | #72214219, C3×#10826599, #72214554, … |
| maximal normal subgroup of | #72214219, C3×#10826599, #72214554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 97935);