Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C149 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,d^2=e,e^2=f,g^a=g^105,c^b=cf,g^b=g^148,g^d=g^148410 conjugacy classes — view the full character table.
| maximal subgroup of | #34061079, #34061080, #34061082, … |
| maximal normal subgroup of | #34061079, #34061080, #34061082, … |
| maximal quotient of | #34060901, #34060902, #34060922, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1608);