Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #520×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3046 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^70,d^b=dg,f^c=fg1222 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32035517, #32035522, #32035532, … |
| maximal normal subgroup of | #32035517, #32035522, #32035532, … |
| maximal quotient of | #31982918, #31982929, #31982940, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14060);