Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #447×C71 ⋊ C2 |
| Sylow | C71 ⋊ D4×D8 |
620 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,d^b=de,e^b=eg,e^d=eg,h^d=h^70700 conjugacy classes — view the full character table.
| maximal subgroup of | D4×D8×D71, C2×#22600010, #32872740, … |
| maximal normal subgroup of | D4×D8×D71, C2×#22600010, #32872740, … |
| maximal quotient of | #31986792, #31986797, #31986802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16180);