Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986120 |
| Fitting | C2×#108×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#444 |
464 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31912742, #31912744, #31912749, … |
| maximal normal subgroup of | #31912742, #31912744, #31912749, … |
| maximal quotient of | C2×#22587151, C2×#22587158, C2×#22587163, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13405);