Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×#5077 |
| Fitting | C2×C32×#127 ⋊ C2 |
| Sylow | C32 ⋊ C2×#453 |
1937 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11864777, C3×#11671493, #72214505, … |
| maximal normal subgroup of | C2×#11864777, C3×#11671493, #72214505, … |
| maximal quotient of | C3×#10771251, C3×D3×#5077, C2×#10588757⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 98773);