Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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. C4⋊Q8×D109 | C2 | semidirect |
| 4. #20295237 | C2 | semidirect |
| 5. #20295235 | C2 | semidirect |
| 6. #20295233 | C2 | semidirect |
| 7. #20295231 | C2 | semidirect |
| 8. #20295229 | C2 | semidirect |
| 9. #20295048 | C2 | semidirect |
| 10. #20295033 | C2 | semidirect |
| 11. #461×C109 | C2 | semidirect |
| 131. C4×C109 | #137 | semidirect |
| 139. Dic109 | #137 | semidirect |
| 146. C109 | #3039 | semidirect |
| 155. #461 | D109 | semidirect |
| 283. C4 | #16812728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812728 | 2 |
| C4⋊Q8×D109 | 2 |
| C4×#13182028 | 2 |
| #20295237 | 2 |
| #20295235 | 2 |
| #20295233 | 2 |
| #20295231 | 2 |
| #20295229 | 2 |
| #20295048 | 2 |
| #20295033 | 2 |
| #461×C109 | 2 |
| #3039 | 109 |