Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
190 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×#14268630 | C2 | semidirect |
| 3. #16813580 | C2 | semidirect |
| 4. #16813544 | C2 | semidirect |
| 5. #16813543 | C2 | semidirect |
| 6. #16813542 | C2 | semidirect |
| 7. #102×C113 | C2 | semidirect |
| 12. D4×D113 | C4 | semidirect |
| 15. C2×#11744751 | C22 | semidirect |
| 16. C4⋊Dic113 | C22 | semidirect |
| 20. C2×C8×C113 | C22 | semidirect |
| 21. C4⋊C4×C113 | C22 | semidirect |
| 63. C113 | #418 | semidirect |
| 71. #102 | D113 | semidirect |
| 81. C2×C8 | C2×D113 | semidirect |
| 83. C4⋊C4 | C2×D113 | semidirect |