Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×#41×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2943 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=f,c^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,e^b=eg,h^b=h^701444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31996010, #31996013, #31996029, … |
| maximal normal subgroup of | #31996010, #31996013, #31996029, … |
| maximal quotient of | #31966856, #31967022, #31967026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13308);