Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C24×C4 |
| direct product | C3×#83163 |
| Fitting | C2×C32×#127 ⋊ C2 |
| Sylow | C32 ⋊ #3151 |
1561 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11671496, #72214975, #72215033, … |
| maximal normal subgroup of | C3×#11671496, #72214975, #72215033, … |
| maximal quotient of | #72244711, C3×#10784426 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 108476);