Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×Q16×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3107 |
390 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^70,f^c=fg,h^c=h^701018 conjugacy classes — view the full character table.
| maximal subgroup of | #31967454, #31967456, #31967487, … |
| maximal normal subgroup of | #31967454, #31967456, #31967487, … |
| maximal quotient of | #31997487, #32000389, #32000394, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14579);