Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 175 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. C4×#13182028 | C2 | semidirect |
| 3. #20295138 | C2 | semidirect |
| 4. #20295134 | C2 | semidirect |
| 5. #20295132 | C2 | semidirect |
| 6. #20295126 | C2 | semidirect |
| 7. #20295123 | C2 | semidirect |
| 8. #20295061 | C2 | semidirect |
| 9. #20295019 | C2 | semidirect |
| 10. #97×D109 | C2 | semidirect |
| 11. #442×C109 | C2 | semidirect |
| 13. #16812718 | C4 | semidirect |
| 41. #13182028 | C2×C4 | semidirect |
| 48. Dic436 | C2×C4 | semidirect |
| 49. #13182017 | C2×C4 | semidirect |
| 53. C8×D109 | C2×C4 | semidirect |
| 66. D8×C109 | C2×C4 | semidirect |
| 115. C109 | #2943 | semidirect |
| 119. #442 | D109 | semidirect |
| 167. D8 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812718 | 2 |
| C4×#13182028 | 2 |
| #20295138 | 2 |
| #20295134 | 2 |
| #20295132 | 2 |
| #20295126 | 2 |
| #20295123 | 2 |
| #20295061 | 2 |
| #20295019 | 2 |
| #97×D109 | 2 |
| #442×C109 | 2 |
| #2943 | 109 |