Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C71 ⋊ #1295 |
180 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=e,c^2=f,e^2=g,b^a=bc,c^a=cf,e^a=efg,c^b=cg,h^b=h^701018 conjugacy classes — view the full character table.
| maximal subgroup of | #31885001, #31885002, #31885079, … |
| maximal normal subgroup of | #31885001, #31885002, #31885079, … |
| maximal quotient of | #31884003, #31884016, #31884032, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2391);