Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #14583554 | C2 | semidirect |
| 2. #14583553 | C2 | semidirect |
| 3. #14583250 | C2 | semidirect |
| 4. #14583236 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14583144 | C2 | semidirect |
| 7. #14583104 | C2 | semidirect |
| 8. #14583041 | C2 | semidirect |
| 9. #14582978 | C2 | semidirect |
| 10. #14582897 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 83. D4×C43 | #41 | semidirect |
| 141. C4×D8 | D43 | semidirect |
| 144. C43 | #3330 | semidirect |
| 222. D4 | #10621898 | semidirect |