Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25×C4 |
| direct product | C3×#83396 |
| Fitting | C32×#535 ⋊ C2 |
| Sylow | C32 ⋊ #3027 |
1711 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10826481, #72214530, #72214786 |
| maximal normal subgroup of | C3×#10826481, #72214530, #72214786 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 99379);