Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C8×C4⋊Dic71 |
| Sylow | C71 ⋊ C8×C4⋊C4 |
296 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31884354, #31884355, #31884360, … |
| maximal normal subgroup of | #31884354, #31884355, #31884360, … |
| maximal quotient of | C8×C4⋊(C71⋊C8), #31888581, #31888596, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4372);