Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#10597010)⋊C8 |
| Fitting | C2×C8×C149 ⋊ C4 |
| Sylow | C149 ⋊ #336 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,b^a=bc,g^b=g^105,g^e=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | C2×(C2×#10597010)⋊C8, #34060353, #34060356, … |
| maximal normal subgroup of | C2×(C2×#10597010)⋊C8, #34060353, #34060356, … |
| maximal quotient of | #34059513, #34059514, #34059516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1414);