Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3084 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=eg,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^70,f^c=fg1012 conjugacy classes — view the full character table.
| maximal subgroup of | #32054992, #32054995, #32055001, … |
| maximal normal subgroup of | #32054992, #32054995, #32055001, … |
| maximal quotient of | #31996977, #31998454, #31998496, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14370);