Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | Q8×#11765853 |
| Sylow | C71 ⋊ Q8×SD16 |
370 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
910 conjugacy classes — view the full character table.
| maximal subgroup of | #31986942, #31986949, #31987002, … |
| maximal normal subgroup of | #31986942, #31986949, #31987002, … |
| maximal quotient of | Q8×#14556049, Q8×#14556051, C4⋊C4×#11765853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17370);