Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
478 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14583463 | C2 | semidirect |
| 2. C2×#13063321 | C2 | semidirect |
| 3. C2×#13063252 | C2 | semidirect |
| 4. #14582904 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582660 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 35. C2×Q8×C43 | D4 | semidirect |
| 42. C2×D4×C43 | D4 | semidirect |
| 43. C2×D4×C43 | D4 | semidirect |
| 59. M16×C43 | D4 | semidirect |
| 63. C4⋊Dic43 | D4 | semidirect |
| 66. C4×Dic43 | D4 | semidirect |
| 139. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 146. C43 | #2002 | semidirect |
| 174. C2×Q8 | C22⋊D43 | semidirect |
| 190. C2×D4 | C22⋊D43 | semidirect |
| 191. C2×D4 | C22⋊D43 | semidirect |
| 200. M16 | C22⋊D43 | semidirect |