Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
222 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 35 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. #14582623 | C2 | semidirect |
| 3. C43×#342 | C2 | semidirect |
| 4. C22×D172 | C4 | semidirect |
| 8. C43⋊#95 | C4 | semidirect |
| 90. #342 | D43 | semidirect |
| 92. C43 | #1343 | semidirect |