Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #4466 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C22 |
| direct product | C2×C3×#4466 |
| Sylow | C32 ⋊ C2×#347 |
409 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
252 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10947846, #72222773, C3×#10948637, … |
| maximal normal subgroup of | C3×#10947846, #72222773, C3×#10948637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 29927);