Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17985998 |
| Fitting | C22×C4⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#417 |
816 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31902927, #31902929, #31902970, … |
| maximal normal subgroup of | #31902927, #31902929, #31902970, … |
| maximal quotient of | C2×#22586725, C2×#22586777, #31963911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13020);