Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C149 ⋊ #368 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=ce,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^105,g^b=g^148,g^d=g^148614 conjugacy classes — view the full character table.
| maximal subgroup of | #34059846, #34059847, #34059856, … |
| maximal normal subgroup of | #34059846, #34059847, #34059856, … |
| maximal quotient of | #34059723, #34059724, #34059751, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1478);