Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C71 ⋊ #1365 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=eg,c^2=fg,d^2=efg,f^2=g,b^a=bc,c^a=ce,c^b=cf,d^b=def,f^b=fg,h^b=h^701429 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1365×D71, C2×#22586397, #31908736, … |
| maximal normal subgroup of | #1365×D71, C2×#22586397, #31908736, … |
| maximal quotient of | #31884242, #31884638, #31885111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2567);