Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
380 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 4. #20295310 | C2 | semidirect |
| 5. #20295235 | C2 | semidirect |
| 8. #20295132 | C2 | semidirect |
| 9. #20295130 | C2 | semidirect |
| 128. C109 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295578 | 2 |
| C2×#16812664 | 2 |
| #20295356 | 2 |
| #20295310 | 2 |
| #20295235 | 2 |
| #20295184 | 2 |
| #20295181 | 2 |
| #20295132 | 2 |
| #20295130 | 2 |
| #20295080 | 2 |
| #483×C109 | 2 |
| #3113 | 109 |