Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×H(5,𝔽2)×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3012 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^70,e^b=eg,d^c=dg1222 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32028902, #32028906, #32028926, … |
| maximal normal subgroup of | #32028902, #32028906, #32028926, … |
| maximal quotient of | #31970656, #31970689, #31970744, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13814);