Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×Q8×C149 ⋊ C2 |
| Sylow | C149 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^148,d^b=df1499 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043641, #34043642, #34043652, … |
| maximal normal subgroup of | #34043641, #34043642, #34043652, … |
| maximal quotient of | #34043614, #34043631, #34043682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 688);