Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
484 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 202 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 |
|---|---|---|
| 3. #20296033 | C2 | semidirect |
| 4. #20296032 | C2 | semidirect |
| 5. #20296031 | C2 | semidirect |
| 6. #20296030 | C2 | semidirect |
| 17. #16812766 | C22 | semidirect |
| 18. C4⋊#11724786 | C22 | semidirect |
| 102. C109 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13182039 | 2 |
| C2×D109⋊M16 | 2 |
| #20296033 | 2 |
| #20296032 | 2 |
| #20296031 | 2 |
| #20296030 | 2 |
| #117×D109 | 2 |
| #2905 | 109 |