Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C149 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,b^a=bf,g^a=g^105,g^c=g^148,g^d=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059516, #34059568, #34059584, … |
| maximal normal subgroup of | #34059516, #34059568, #34059584, … |
| maximal quotient of | #34059887, #34059899, #34059905, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1508);