Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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×#16812664 | C2 | semidirect |
| 3. #20295339 | C2 | semidirect |
| 4. #20295320 | C2 | semidirect |
| 5. #20295225 | C2 | semidirect |
| 6. #20295167 | C2 | semidirect |
| 7. #20295164 | C2 | semidirect |
| 8. #20295125 | C2 | semidirect |
| 9. #20295123 | C2 | semidirect |
| 10. #20295080 | C2 | semidirect |
| 11. #480×C109 | C2 | semidirect |
| 111. Dic218 | #41 | semidirect |
| 141. C109 | #3112 | semidirect |
| 145. #480 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295571 | 2 |
| C2×#16812664 | 2 |
| #20295339 | 2 |
| #20295320 | 2 |
| #20295225 | 2 |
| #20295167 | 2 |
| #20295164 | 2 |
| #20295125 | 2 |
| #20295123 | 2 |
| #20295080 | 2 |
| #480×C109 | 2 |
| #3112 | 109 |