Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
236 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20268498 | C2 | semidirect |
| 2. #20268163 | C2 | semidirect |
| 3. #20267988 | C2 | semidirect |
| 4. #20267539 | C2 | semidirect |
| 5. #20267521 | C2 | semidirect |
| 6. D4⋊(C103⋊C8) | C2 | semidirect |
| 58. D4×C103 | SD16 | semidirect |
| 97. C103 | #1622 | semidirect |
| 158. D4 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268498 | 2 |
| #20268163 | 2 |
| #20267988 | 2 |
| #20267539 | 2 |
| #20267521 | 2 |
| D4⋊(C103⋊C8) | 2 |
| #459×C103 | 2 |
| #1622 | 103 |