Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | #447×D71 |
| Fitting | #447×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#447 |
1048 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1048 conjugacy classes of subgroups — too many to draw. Only its 155 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
703 conjugacy classes — view the full character table.
| maximal subgroup of | #1595×D71, #1597×D71, #1598×D71, … |
| maximal normal subgroup of | #1595×D71, #1597×D71, #1598×D71, … |
| maximal quotient of | #1595×D71, #1607×D71, #1598×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13683);