Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #428×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3356 |
342 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=g,c^2=eg,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,c^b=cg,d^b=de,h^b=h^70,f^c=fg799 conjugacy classes — view the full character table.
| maximal subgroup of | #3356×D71, C2×#22600951, #32876210, … |
| maximal normal subgroup of | #3356×D71, C2×#22600951, #32876210, … |
| maximal quotient of | #32013897, #32013919, #32015214, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17121);