Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C149 ⋊ #423 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^105,g^e=g^148620 conjugacy classes — view the full character table.
| maximal subgroup of | #34059544, #34059561, #34059582, … |
| maximal normal subgroup of | #34059544, #34059561, #34059582, … |
| maximal quotient of | #34060245, #34060248, #34060251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1552);