Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20267815 | C2 | semidirect |
| 4. #20267551 | C2 | semidirect |
| 5. C4×C4⋊C4×C103 | C2 | semidirect |
| 8. C4×Dic206 | C4 | semidirect |
| 9. C4×Dic206 | C4 | semidirect |
| 10. C4×D412 | C4 | semidirect |
| 11. C4×D412 | C4 | semidirect |
| 81. D412 | C4⋊C4 | semidirect |
| 87. Dic206 | C4⋊C4 | semidirect |
| 101. C4×C103 | #104 | semidirect |
| 116. C103 | #1806 | semidirect |
| 120. C4×C4⋊C4 | D103 | semidirect |
| 220. C4 | #15692949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13110105 | 2 |
| #20267815 | 2 |
| C2×#15692949 | 2 |
| #20267551 | 2 |
| C4×C4⋊C4×C103 | 2 |
| #1806 | 103 |