Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | #347×C71 ⋊ C2 |
| Sylow | C71 ⋊ #1355 |
88 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,c^2=f,d^2=e,e^2=g,b^a=bc,c^a=ce,f^a=fg,c^b=cf,d^b=defg,e^b=eg,h^b=h^70,d^c=dg790 conjugacy classes — view the full character table.
| maximal subgroup of | #1355×D71, C2×#22586372, #31908628, … |
| maximal normal subgroup of | #1355×D71, C2×#22586372, #31908628, … |
| maximal quotient of | #31884229, #31884267, #31884620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2542);