Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3300 |
386 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^70,d^b=de,f^c=fg910 conjugacy classes — view the full character table.
| maximal subgroup of | #3300×D71, C2×#22600227, #32873937, … |
| maximal normal subgroup of | #3300×D71, C2×#22600227, #32873937, … |
| maximal quotient of | #32012895, #32013671, #32014600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16397);