Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D149⋊#101 |
| Sylow | C149 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^105,e^b=ef,g^c=g^148,g^e=g^148392 conjugacy classes — view the full character table.
| maximal subgroup of | #34059787, #101×#10597010, #34060538, … |
| maximal normal subgroup of | #34059787, #101×#10597010, #34060538, … |
| maximal quotient of | D149⋊#324, #34059934, #34059935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1534);