Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C3×C4 |
No aliases for this group.
| Sylow | C32 ⋊ #2925 |
702 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
Polycyclic presentation:
2^7,3^2|a^2=f,c^2=e,f^2=g,b^a=be,h^a=hi,i^a=hi^2,d^b=dg,d^c=dg,h^f=h^2,i^f=i^290 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 93105);