Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986100 |
| Sylow | C71 ⋊ C2×#440 |
544 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 237 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17986100, #440×Dic71, #31995971, … |
| maximal normal subgroup of | C4×#17986100, #440×Dic71, #31995971, … |
| maximal quotient of | C2×SD16⋊(C71⋊C8), C2×#22587198, C2×#22587219, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13290);