Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
362 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 79 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. #15689597 | C2 | semidirect |
| 3. #15689141 | C2 | semidirect |
| 4. #15689139 | C2 | semidirect |
| 5. C2×#13093940 | C2 | semidirect |
| 6. #15688879 | C2 | semidirect |
| 7. C47×H(3,ℤ/4) | C2 | semidirect |
| 11. #13094021 | C4 | semidirect |
| 12. #13094012 | C4 | semidirect |
| 38. C2×D188 | C2×C4 | semidirect |
| 42. C2×Dic94 | C2×C4 | semidirect |
| 50. C42×C47 | C2×C4 | semidirect |
| 51. C42×C47 | D4 | semidirect |
| 56. C4×Dic47 | D4 | semidirect |
| 123. H(3,ℤ/4) | D47 | semidirect |
| 124. C47 | #1911 | semidirect |
| 175. C42 | C4×D47 | semidirect |
| 176. C42 | D188 | semidirect |