Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^105,g^e=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059740, #34059743, #34059744, … |
| maximal normal subgroup of | #34059740, #34059743, #34059744, … |
| maximal quotient of | C8×#14558745, C8×#14558746, #34059894, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1512);