Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20268195 | C2 | semidirect |
| 3. #20268169 | C2 | semidirect |
| 4. #20268140 | C2 | semidirect |
| 8. C4×Dic412 | C2 | semidirect |
| 9. C4×#13110095 | C2 | semidirect |
| 11. C4×Q16×C103 | C2 | semidirect |
| 87. C4×D103 | Q16 | semidirect |
| 115. C103 | #3170 | semidirect |
| 125. C4×Q16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268345 | 2 |
| #20268195 | 2 |
| #20268169 | 2 |
| #20268140 | 2 |
| #20268033 | 2 |
| #20268031 | 2 |
| #20268029 | 2 |
| C4×Dic412 | 2 |
| C4×#13110095 | 2 |
| C4×C8×D103 | 2 |
| C4×Q16×C103 | 2 |
| #3170 | 103 |