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^148,c^b=cf1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #433×D149, C2×#23749686, #34053325, … |
| maximal normal subgroup of | #433×D149, C2×#23749686, #34053325, … |
| maximal quotient of | #34044443, #34044457, #34044548, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 610);