Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
| unambiguous semidirect product | #11924753⋊C8 |
| Sylow | C149 ⋊ #322 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^a=g^105,g^c=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11924753⋊C8, #34059887, C8×#14558745, … |
| maximal normal subgroup of | C2×#11924753⋊C8, #34059887, C8×#14558745, … |
| maximal quotient of | #34059513, #11924753⋊C16, #34059609, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1391);