Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C71 ⋊ #1367 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=c,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^b=h^701456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1367×D71, C2×#22586403, #31908995, … |
| maximal normal subgroup of | #1367×D71, C2×#22586403, #31908995, … |
| maximal quotient of | #31884189, #31884314, #31885117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2573);