Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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. C2×#13063350 | C2 | semidirect |
| 2. #14583463 | C2 | semidirect |
| 3. C2×#13063322 | C2 | semidirect |
| 4. #14582905 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 35. C2×Q8×C43 | D4 | semidirect |
| 37. C2×D4×C43 | D4 | semidirect |
| 55. C2×D172 | D4 | semidirect |
| 60. C42×C43 | D4 | semidirect |
| 65. C4⋊Dic43 | D4 | semidirect |
| 68. #10621877 | D4 | semidirect |
| 142. C2×#104 | D43 | semidirect |
| 146. C43 | #2002 | semidirect |
| 174. C2×Q8 | D172 | semidirect |
| 191. C2×D4 | D172 | semidirect |
| 208. C42 | C22⋊D43 | semidirect |