Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
176 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14582978 | C2 | semidirect |
| 3. #14582650 | C2 | semidirect |
| 4. #14582628 | C2 | semidirect |
| 5. C43×#322 | C2 | semidirect |
| 40. C8×C43 | M16 | semidirect |
| 60. #322 | D43 | semidirect |
| 61. C43 | #1594 | semidirect |
| 97. C8 | #10621872 | semidirect |