Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | Q8⋊C8×D71 |
| Fitting | Q8⋊C8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×Q8⋊C8 |
280 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×Q8⋊C8×D71, #1476×D71, #1479×D71, … |
| maximal normal subgroup of | C2×Q8⋊C8×D71, #1476×D71, #1479×D71, … |
| maximal quotient of | #1271×D71, #1272×D71, #31885396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2885);