Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C27 |
| direct product | C3×C4×#937 |
| Fitting | C2×C32×C4×D4 ⋊ C2 |
| Sylow | C32 ⋊ C4×#120 |
2661 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#10595278 |
| maximal normal subgroup of | C4×#10595278 |
| maximal quotient of | C3×C4×#5077, C3×C4×#5032 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 35984);