Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C149 ⋊ #433 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^105,c^b=cf,g^b=g^148,g^e=g^148398 conjugacy classes — view the full character table.
| maximal subgroup of | D149⋊#433, C2×#23750650, #34061372, … |
| maximal normal subgroup of | D149⋊#433, C2×#23750650, #34061372, … |
| maximal quotient of | #34060410, #34060420, #34060479, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1574);