Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
308 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20295372 | C2 | semidirect |
| 3. #20295307 | C2 | semidirect |
| 4. #20295232 | C2 | semidirect |
| 5. #20294753 | C2 | semidirect |
| 6. #20294753 | C2 | semidirect |
| 7. #331×C109 | C2 | semidirect |
| 11. #16812699 | C22 | semidirect |
| 21. C4×#11724784 | C22 | semidirect |
| 23. C4⋊C8×C109 | C22 | semidirect |
| 24. C4⋊C8×C109 | C22 | semidirect |
| 74. D436 | SD16 | semidirect |
| 110. C109 | #1639 | semidirect |
| 115. #331 | D109 | semidirect |
| 129. C4⋊C8 | C2×D109 | semidirect |
| 130. C4⋊C8 | C2×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295661 | 2 |
| #20295372 | 2 |
| #20295307 | 2 |
| #20295232 | 2 |
| #20294753 | 2 |
| #331×C109 | 2 |
| #1639 | 109 |