Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14556063 |
| Sylow | C71 ⋊ C4×#108 |
228 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 121 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 | #31888743, C8×#14556063, #31888748, … |
| maximal normal subgroup of | #31888743, C8×#14556063, #31888748, … |
| maximal quotient of | C4×#17985749, C4×#17985751, #31888642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4413);