Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#16812699 | C2 | semidirect |
| 2. #20295385 | C2 | semidirect |
| 3. #20295376 | C2 | semidirect |
| 4. #20295372 | C2 | semidirect |
| 5. #20295027 | C2 | semidirect |
| 6. C4×#13182013 | C2 | semidirect |
| 101. C109 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812699 | 2 |
| #20295385 | 2 |
| #20295376 | 2 |
| #20295372 | 2 |
| #20295027 | 2 |
| C4×#13182013 | 2 |
| #532×C109 | 2 |
| #3141 | 109 |