Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#15693044 | C2 | semidirect |
| 2. #20268224 | C2 | direct (N × H) |
| 3. C2×#15692964 | C2 | semidirect |
| 4. C2×D1648 | C2 | semidirect |
| 5. C2×C16×D103 | C2 | semidirect |
| 6. C2×Q32×C103 | C2 | semidirect |
| 9. #15693044 | C22 | semidirect |
| 13. #15692964 | C22 | semidirect |
| 14. D1648 | C22 | semidirect |
| 16. C16×D103 | C22 | semidirect |
| 18. Q32×C103 | C22 | semidirect |
| 63. C2×C103 | #508 | semidirect |
| 68. C103 | C2×#508 | semidirect |
| 71. C2×Q32 | D103 | semidirect |
| 82. Q32 | C2×D103 | semidirect |
| 133. C2 | #20268224 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693044 | 2 |
| #20268224 | 2 |
| C2×#15692964 | 2 |
| C2×D1648 | 2 |
| C2×C16×D103 | 2 |
| C2×Q32×C103 | 2 |
| C2×#508 | 103 |