Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #20268161 | C2 | semidirect |
| 4. #20268160 | C2 | semidirect |
| 5. #20268159 | C2 | semidirect |
| 6. #20268158 | C2 | semidirect |
| 9. #491×C103 | C2 | semidirect |
| 86. D103 | #491 | direct (N × H) |
| 88. C103 | C2×#491 | semidirect |
| 95. #491 | D103 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D103 | 2 |
| #125×D103 | 2 |
| #20268161 | 2 |
| #20268160 | 2 |
| #20268159 | 2 |
| #20268158 | 2 |
| #103×D103 | 2 |
| #97×D103 | 2 |
| #491×C103 | 2 |
| C2×#491 | 103 |