Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D113 | C2 | semidirect |
| 2. C2×#14268635 | C2 | semidirect |
| 4. #16813547 | C2 | semidirect |
| 5. #16813546 | C2 | semidirect |
| 6. #16813534 | C2 | semidirect |
| 7. C2×SD16×C113 | C2 | semidirect |
| 26. Q8×C113 | D4 | semidirect |
| 40. Dic226 | D4 | semidirect |
| 49. C2×D113 | SD16 | semidirect |
| 61. C113 | #448 | semidirect |
| 65. C2×SD16 | D113 | semidirect |
| 91. Q8 | C22⋊D113 | semidirect |