Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#10591523 |
| Fitting | C22×C32×D4 ⋊ C22 |
| Sylow | C32 ⋊ C2×#453 |
1837 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
102 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11864773, C2×D3×#5198, C2×D3×#5077 |
| maximal normal subgroup of | C2×#11864773, C2×D3×#5198, C2×D3×#5077 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 98793);