Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
128 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14268634 | C2 | semidirect |
| 3. Q8×Dic113 | C2 | semidirect |
| 4. #16813551 | C2 | semidirect |
| 5. #16813544 | C2 | semidirect |
| 6. #16813543 | C2 | semidirect |
| 7. C2×SD16×C113 | C2 | semidirect |
| 24. Q8×C113 | D4 | semidirect |
| 50. Dic113 | SD16 | semidirect |
| 56. C113 | #460 | semidirect |
| 59. C2×SD16 | D113 | semidirect |
| 81. Q8 | C22⋊D113 | semidirect |