Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | D8×C149 ⋊ C4 |
| Sylow | C149 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^44,d^b=df,g^c=g^105,g^e=g^148281 conjugacy classes — view the full character table.
| maximal subgroup of | #34061100, #34061101, #34061102, … |
| maximal normal subgroup of | #34061100, #34061101, #34061102, … |
| maximal quotient of | #34060287, #34060288, #34060289, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1590);