Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
262 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 3. #20295897 | C2 | semidirect |
| 4. #20295893 | C2 | semidirect |
| 17. #16812658 | C4 | semidirect |
| 18. #16812656 | C4 | semidirect |
| 20. C42×D109 | C4 | semidirect |
| 22. C2×C42×C109 | C4 | semidirect |
| 103. C109 | #1827 | semidirect |
| 121. C2×C42 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296012 | 2 |
| #20296005 | 2 |
| #20295897 | 2 |
| #20295893 | 2 |
| C4×#13182029 | 2 |
| #1827 | 109 |