Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C42×C149 ⋊ C4 |
| Sylow | C149 ⋊ #376 |
178 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=f,c^2=d,b^a=bd,g^a=g^105,g^e=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059514, #34059578, #34059580, … |
| maximal normal subgroup of | #34059514, #34059578, #34059580, … |
| maximal quotient of | C4×(C2×#10597010)⋊C4, #34059866, #34059867, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1485);