Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q16×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2950 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=f,b^2=g,c^2=fg,e^2=g,b^a=be,d^a=dg,e^a=eg,e^b=eg,d^c=dg,h^d=h^701024 conjugacy classes — view the full character table.
| maximal subgroup of | #32150798, #32150800, #32150802, … |
| maximal normal subgroup of | #32150798, #32150800, #32150802, … |
| maximal quotient of | #31966921, #31967145, #31967292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13373);