Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
444 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 170 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 |
|---|---|---|
| 18. #16812691 | C4 | semidirect |
| 19. #16812690 | C4 | semidirect |
| 20. #16812689 | C4 | semidirect |
| 24. #125×C109 | C4 | semidirect |
| 92. C109 | #2330 | semidirect |
| 103. #125 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295977 | 2 |
| #20295975 | 2 |
| #20295972 | 2 |
| C4⋊C4×#89137 | 2 |
| #20295962 | 2 |
| #125×D109 | 2 |
| #2330 | 109 |