Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
226 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 53 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×Q16×D43 | C2 | semidirect |
| 2. C2×#13063270 | C2 | semidirect |
| 3. C2×#13063268 | C2 | semidirect |
| 5. #14582702 | C2 | semidirect |
| 6. (C2×D43)⋊C16 | C2 | semidirect |
| 7. C43×#358 | C2 | semidirect |
| 33. Q16×C43 | D4 | semidirect |
| 40. Dic172 | D4 | semidirect |
| 74. C2×D43 | SD32 | semidirect |
| 92. #358 | D43 | semidirect |
| 94. C43 | #2185 | semidirect |
| 123. Q16 | D172 | semidirect |