Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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×#16812643 | C2 | semidirect |
| 2. #20295444 | C2 | semidirect |
| 3. #20295302 | C2 | semidirect |
| 5. #20294855 | C2 | semidirect |
| 6. #20294843 | C2 | semidirect |
| 7. #361×C109 | C2 | semidirect |
| 72. C109 | #2223 | semidirect |
| 79. #361 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812643 | 2 |
| #20295444 | 2 |
| #20295302 | 2 |
| #20295293 | 2 |
| #20294855 | 2 |
| #20294843 | 2 |
| #361×C109 | 2 |
| #2223 | 109 |