Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
412 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 145 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. #20268348 | C2 | semidirect |
| 2. #20268187 | C2 | semidirect |
| 3. #20268163 | C2 | semidirect |
| 4. #20268143 | C2 | semidirect |
| 5. #20268137 | C2 | semidirect |
| 6. #20268018 | C2 | semidirect |
| 7. C4×#13110093 | C2 | semidirect |
| 8. C2×C4×C103⋊C8 | C2 | semidirect |
| 78. C2×C4×C103 | SD16 | semidirect |
| 90. C103⋊C8 | #41 | semidirect |
| 113. C103 | #3167 | semidirect |
| 195. C2×C4 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268348 | 2 |
| #20268187 | 2 |
| #20268163 | 2 |
| #20268143 | 2 |
| #20268137 | 2 |
| #20268018 | 2 |
| C4×#13110093 | 2 |
| C2×C4×C103⋊C8 | 2 |
| #532×C103 | 2 |
| #3167 | 103 |