Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19134449 | C2 | semidirect |
| 4. #19132477 | C2 | semidirect |
| 145. Dic43 | #329 | semidirect |
| 172. C43 | #8579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×Dic43 | 2 |
| #19134449 | 2 |
| C2×#14582639 | 2 |
| #19132477 | 2 |
| C2×C43×#329 | 2 |
| #8579 | 43 |