Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20295500 | C2 | semidirect |
| 3. #20295044 | C2 | semidirect |
| 4. #20295042 | C2 | semidirect |
| 5. C2×#16812615 | C2 | semidirect |
| 6. #20294782 | C2 | semidirect |
| 7. H(3,ℤ/4)×C109 | C2 | semidirect |
| 11. #16812696 | C4 | semidirect |
| 12. #16812687 | C4 | semidirect |
| 30. C2×Dic218 | C2×C4 | semidirect |
| 37. C2×D436 | C2×C4 | semidirect |
| 49. C4×Dic109 | D4 | semidirect |
| 58. C42×C109 | C2×C4 | semidirect |
| 59. C42×C109 | D4 | semidirect |
| 117. C109 | #1911 | semidirect |
| 124. H(3,ℤ/4) | D109 | semidirect |
| 175. C42 | C4×D109 | semidirect |
| 176. C42 | D436 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295595 | 2 |
| #20295500 | 2 |
| #20295044 | 2 |
| #20295042 | 2 |
| C2×#16812615 | 2 |
| #20294782 | 2 |
| H(3,ℤ/4)×C109 | 2 |
| #1911 | 109 |