Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C149 ⋊ #462 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^148,e^c=ef1055 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #462×D149, C2×#23749833, #34054142, … |
| maximal normal subgroup of | #462×D149, C2×#23749833, #34054142, … |
| maximal quotient of | #34044071, #34044075, #34044083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 757);