Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 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 |
|---|---|---|
| 1. #15689889 | C2 | semidirect |
| 3. #15689129 | C2 | semidirect |
| 4. #15689127 | C2 | semidirect |
| 5. #15689096 | C2 | semidirect |
| 6. #15688879 | C2 | semidirect |
| 7. C47×H(3,ℤ/4) | C2 | semidirect |
| 14. #13094021 | C4 | semidirect |
| 15. #13094012 | C4 | semidirect |
| 44. C2×C8×C47 | D4 | semidirect |
| 57. C2×C47⋊C8 | D4 | semidirect |
| 122. H(3,ℤ/4) | D47 | semidirect |
| 123. C47 | #1910 | semidirect |
| 165. C2×C8 | D188 | semidirect |