Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #20295080 | C2 | semidirect |
| 3. #20295076 | C2 | semidirect |
| 4. #20295049 | C2 | semidirect |
| 6. M16×Dic109 | C2 | semidirect |
| 17. #16812628 | C22 | semidirect |
| 19. #16812609 | C22 | semidirect |
| 20. C8×Dic109 | C22 | semidirect |
| 67. C2×Dic109 | M16 | semidirect |
| 93. C109 | #2920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic109 | 2 |
| #20295080 | 2 |
| #20295076 | 2 |
| #20295049 | 2 |
| #20294990 | 2 |
| M16×Dic109 | 2 |
| #407×C109 | 2 |
| #2920 | 109 |