Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10596501 |
| Sylow | C32 ⋊ C22×AGL(1,ℤ/8) |
2846 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11864797, C2×#13180597 |
| maximal normal subgroup of | C2×#11864797 |
| maximal quotient of | C2×#13180597 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 152689);