Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C149 ⋊ C2 |
| Sylow | C149 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^148,g^c=g^1481520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043276, #34043278, #34043281, … |
| maximal normal subgroup of | #34043276, #34043278, #34043281, … |
| maximal quotient of | #34042970, #34042979, #34042987, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 501);