Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
182 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14582978 | C2 | semidirect |
| 3. #14582651 | C2 | semidirect |
| 4. D4⋊(C43⋊C8) | C2 | semidirect |
| 5. #14582626 | C2 | semidirect |
| 6. #14582620 | C2 | semidirect |
| 7. C8×D4×C43 | C2 | semidirect |
| 45. D4×C43 | M16 | semidirect |
| 59. C8×C43 | D8 | semidirect |
| 86. C8×D4 | D43 | semidirect |
| 91. C43 | #1581 | semidirect |
| 131. D4 | #10621872 | semidirect |
| 147. C8 | #10621882 | semidirect |