Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D149⋊(C4⋊C8) |
| Sylow | C149 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^105,g^c=g^148,g^e=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059520, #34059526, #34059555, … |
| maximal normal subgroup of | #34059520, #34059526, #34059555, … |
| maximal quotient of | D149⋊#334, D149⋊#335, #34060239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1550);