Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
442 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#16812627 | C2 | semidirect |
| 3. #20294990 | C2 | semidirect |
| 4. #20294786 | C2 | semidirect |
| 5. C22×C42×C109 | C2 | semidirect |
| 9. #16812678 | C4 | semidirect |
| 10. #16812673 | C4 | semidirect |
| 23. C2×Dic218 | C2×C4 | semidirect |
| 24. C2×D436 | C2×C4 | semidirect |
| 31. C4⋊Dic109 | C2×C4 | semidirect |
| 49. C42×C109 | D4 | semidirect |
| 82. C22×C109 | #104 | semidirect |
| 101. C109 | #1896 | semidirect |
| 103. C22×C42 | D109 | semidirect |
| 150. C42 | C22⋊D109 | semidirect |
| 185. C22 | #16812627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295537 | 2 |
| C2×#16812627 | 2 |
| #20294990 | 2 |
| #20294786 | 2 |
| C22×C42×C109 | 2 |
| #1896 | 109 |