Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3181 |
366 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^c=dg,h^d=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #3181×D71, C2×#22599042, #32867379, … |
| maximal normal subgroup of | #3181×D71, C2×#22599042, #32867379, … |
| maximal quotient of | #31998037, #32001773, #32001775, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15212);