Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C149 ⋊ #568 |
258 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,e^2=f,d^a=df,g^a=g^105,c^b=cf,g^b=g^148,g^c=g^148,g^e=g^148404 conjugacy classes — view the full character table.
| maximal subgroup of | #34060649, #34060693, #34060695, … |
| maximal normal subgroup of | #34060649, #34060693, #34060695, … |
| maximal quotient of | #34061257, #34061263, #34061278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1629);