Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3164 |
340 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=e,c^2=fg,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^c=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #32056354, #32056358, #32056365, … |
| maximal normal subgroup of | #32056354, #32056358, #32056365, … |
| maximal quotient of | #31997900, #32000815, #32000829, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15044);