Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#17986135 |
| Fitting | C2×C22⋊C8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#447 |
1048 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 1048 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1438 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31892588, #31892590, #31893898, … |
| maximal normal subgroup of | #31892588, #31892590, #31893898, … |
| maximal quotient of | C2×#22587260, C2×#22587328, C2×#22587277, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13688);