Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#14556052 |
| Sylow | C71 ⋊ C22×#103 |
816 conjugacy classes of subgroups; only the 389 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 389 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31903021, #31903023, #31903719, … |
| maximal normal subgroup of | #31903021, #31903023, #31903719, … |
| maximal quotient of | C22×Q8⋊(C71⋊C8), C2×#22586769, C2×#22586743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13000);