Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10589174 |
| Sylow | C32 ⋊ C2×AΣL(1,𝔽16) |
1207 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | #72252305, #72252306, #72252318, … |
| maximal normal subgroup of | #72252305, #72252306, #72252318, … |
| maximal quotient of | #72252318 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 30160);