Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986098 |
| Fitting | C2×#107×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#440 |
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 197 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 | #31995941, C4×#17986098, #31995968, … |
| maximal normal subgroup of | #31995941, C4×#17986098, #31995968, … |
| maximal quotient of | C2×#22587151, C2×#22587196, C2×#22587217, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13288);