Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
340 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15692955 | C2 | semidirect |
| 2. C2×#15692945 | C2 | semidirect |
| 4. C2×#15692931 | C2 | semidirect |
| 5. #20267698 | C2 | semidirect |
| 22. C2×SD16×C103 | C4 | semidirect |
| 86. C8×C103 | C22⋊C4 | semidirect |
| 113. C103 | #1973 | semidirect |
| 125. C2×SD16 | Dic103 | semidirect |
| 200. C8 | C22⋊Dic103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692955 | 2 |
| C2×#15692945 | 2 |
| C2×#15692942 | 2 |
| C2×#15692931 | 2 |
| #20267698 | 2 |
| #20267694 | 2 |
| C22×SD16×C103 | 2 |
| #1973 | 103 |