Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10590685 |
| Sylow | C32 ⋊ C22×#106 |
1369 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D32×#106 |
| maximal normal subgroup of | C2×D32×#106 |
| maximal quotient of | #72222792 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 92395);