Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20295074 | C2 | semidirect |
| 2. #20295052 | C2 | semidirect |
| 6. #20294782 | C2 | semidirect |
| 7. #424×C109 | C2 | semidirect |
| 90. C109 | #2098 | semidirect |
| 93. #424 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295074 | 2 |
| #20295052 | 2 |
| #20295044 | 2 |
| #20295042 | 2 |
| #20294992 | 2 |
| #20294782 | 2 |
| #424×C109 | 2 |
| #2098 | 109 |