Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #4656 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×#4994 |
| Fitting | C22×C32×C4⋊C4 ⋊ C2 |
| Sylow | C32 ⋊ C2×#396 |
2025 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 42269);