Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
| 3. #14583279 | C2 | semidirect |
| 4. #14583141 | C2 | semidirect |
| 5. #14583109 | C2 | semidirect |
| 6. #14583056 | C2 | semidirect |
| 8. C4×Q16×C43 | C2 | semidirect |
| 37. Q16×C43 | D4 | semidirect |
| 65. D172 | Q16 | direct (N × H) |
| 78. C2×D43 | C2×Q16 | semidirect |
| 82. C4×C43 | C2×Q16 | semidirect |
| 98. C4×Q16 | D43 | semidirect |
| 100. C43 | D4×Q16 | semidirect |
| 132. Q16 | D172 | direct (N × H) |
| 176. C4 | Q16×D43 | semidirect |