Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
184 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20267988 | C2 | semidirect |
| 2. #20267921 | C2 | semidirect |
| 3. #20267542 | C2 | semidirect |
| 4. #20267535 | C2 | semidirect |
| 45. C8×C103 | SD16 | semidirect |
| 63. C103 | #1688 | semidirect |
| 110. C8 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267988 | 2 |
| #20267921 | 2 |
| #20267542 | 2 |
| #20267535 | 2 |
| #493×C103 | 2 |
| #1688 | 103 |