Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C3×#71645 |
| Fitting | C32×C4×#41 ⋊ C2 |
| Sylow | C32 ⋊ #1906 |
819 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10826481, #72214704, #72214713 |
| maximal normal subgroup of | C3×#10826481, #72214704, #72214713 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 22574);