Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×#63921 |
| Fitting | C2×C32×C42 ⋊ C22 |
| Sylow | C32 ⋊ C2×C4×C22⋊C4 |
2969 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
192 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#10595278 |
| maximal normal subgroup of | C4×#10595278 |
| maximal quotient of | C4×#10590393, C4×#10590404 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 34715);