Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
446 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583449 | C2 | semidirect |
| 2. #14583297 | C2 | semidirect |
| 3. #14583276 | C2 | semidirect |
| 4. #14583246 | C2 | semidirect |
| 5. #14583152 | C2 | semidirect |
| 6. #14583012 | C2 | semidirect |
| 7. C4×M16×C43 | C2 | semidirect |
| 60. C8×C43 | #41 | semidirect |
| 83. C4×M16 | D43 | semidirect |
| 84. C43 | #3184 | semidirect |
| 137. C8 | #10621898 | semidirect |