Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #20295583 | C2 | semidirect |
| 2. #20295326 | C2 | semidirect |
| 3. #20295316 | C2 | semidirect |
| 4. #20295306 | C2 | semidirect |
| 5. #20295066 | C2 | semidirect |
| 6. #20295050 | C2 | semidirect |
| 10. #16812699 | C22 | semidirect |
| 11. #16812699 | C22 | semidirect |
| 12. #16812691 | C22 | semidirect |
| 18. #16812632 | C22 | semidirect |
| 19. #16812630 | C22 | semidirect |
| 20. C4⋊#11724784 | C22 | semidirect |
| 21. C4⋊#11724784 | C22 | semidirect |
| 48. C2×D4×C109 | Q8 | semidirect |
| 116. C109 | #3077 | semidirect |
| 154. C2×D4 | Dic218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| #20295326 | 2 |
| #20295316 | 2 |
| #20295306 | 2 |
| #20295066 | 2 |
| #20295050 | 2 |
| #20295031 | 2 |
| C2×C4×D4×C109 | 2 |
| #3077 | 109 |