Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×#82936 |
| Fitting | C32×#525 ⋊ C2 |
| Sylow | C32 ⋊ #3025 |
1697 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10826599, #72214447, #72214743 |
| maximal normal subgroup of | C3×#10826599, #72214447, #72214743 |
| maximal quotient of | C3×C4×#5032 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 99311);