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 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,g^a=g^148,c^b=cf,g^c=g^1481520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34046294, #34046505, #405×D149, … |
| maximal normal subgroup of | #34046294, #34046505, #405×D149, … |
| maximal quotient of | #34042970, #34042976, #34042977, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 506);