Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C3×C4 |
| direct product | C3⋊D3×#496 |
| Fitting | C32×#496 ⋊ C2 |
| Sylow | C32 ⋊ C2×#496 |
2004 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | C3⋊D3×#3151, #72214431, D32×#496, … |
| maximal normal subgroup of | C3⋊D3×#3151, #72214431, D32×#496, … |
| maximal quotient of | C3⋊D3×#1715, C3⋊D3×#1721 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 108337);