Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. C2×#16812628 | C2 | semidirect |
| 4. #20294895 | C2 | semidirect |
| 5. #20294789 | C2 | semidirect |
| 6. #20294788 | C2 | semidirect |
| 11. D4×Dic109 | C4 | semidirect |
| 68. D4×C109 | C4⋊C4 | semidirect |
| 115. Dic109 | #102 | semidirect |
| 125. C109 | #1802 | semidirect |
| 193. D4 | #13182008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic109 | 2 |
| C2×#16812628 | 2 |
| C2×#16812620 | 2 |
| #20294895 | 2 |
| #20294789 | 2 |
| #20294788 | 2 |
| C2×#102×C109 | 2 |
| #1802 | 109 |