Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C32 ⋊ C2×#342 |
1697 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
Polycyclic presentation:
2^7,3^2|a^2=e,b^2=f,b^a=bd,d^a=dg,e^b=eg,i^b=hi^2,h^c=h^2,i^c=i^2108 conjugacy classes — view the full character table.
| maximal subgroup of | #72252339, #72252341, #72252346, … |
| maximal normal subgroup of | #72252339, #72252341, #72252346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 17366);