Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,g^a=g^44,d^b=df,g^b=g^105,g^d=g^148,g^e=g^148614 conjugacy classes — view the full character table.
| maximal subgroup of | #34059661, #34059662, #34059663, … |
| maximal normal subgroup of | #34059661, #34059662, #34059663, … |
| maximal quotient of | #34059514, #34059517, #34059540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1417);