Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
126 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 39 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. #20267554 | C2 | semidirect |
| 3. C22⋊C16×C103 | C2 | semidirect |
| 4. C2×D824 | C4 | semidirect |
| 7. #15692955 | C4 | semidirect |
| 60. C103 | #1347 | semidirect |
| 62. C22⋊C16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268027 | 2 |
| #20267554 | 2 |
| C22⋊C16×C103 | 2 |
| #1347 | 103 |