Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
266 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 266 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 |
|---|---|---|
| 2. #14582921 | C2 | semidirect |
| 3. C4×#10621872 | C2 | semidirect |
| 4. Q8⋊(C43⋊C8) | C2 | semidirect |
| 5. #14582628 | C2 | semidirect |
| 6. #14582626 | C2 | semidirect |
| 7. C43×Q8⋊C8 | C2 | semidirect |
| 61. Q8×C43 | M16 | semidirect |
| 73. D172 | M16 | semidirect |
| 115. Q8⋊C8 | D43 | semidirect |
| 118. C43 | #1489 | semidirect |
| 172. Q8 | #10621872 | semidirect |