Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×#41×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3111 |
392 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^70,d^c=dg,f^c=fg1432 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3111×D71, C2×#22598449, #32865668, … |
| maximal normal subgroup of | #3111×D71, C2×#22598449, #32865668, … |
| maximal quotient of | #31997526, #32000468, #32000483, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14619);