Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 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. C2×#15693040 | C2 | semidirect |
| 2. #20268339 | C2 | semidirect |
| 3. #20268174 | C2 | semidirect |
| 4. #20268171 | C2 | semidirect |
| 5. #20268163 | C2 | semidirect |
| 6. C4×C8×D103 | C2 | semidirect |
| 7. #493×C103 | C2 | semidirect |
| 32. C8×D103 | D4 | semidirect |
| 63. C4×C103 | #135 | semidirect |
| 73. C103 | #3147 | semidirect |
| 78. #493 | D103 | semidirect |
| 139. C4 | #15693040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693040 | 2 |
| #20268339 | 2 |
| #20268174 | 2 |
| #20268171 | 2 |
| #20268163 | 2 |
| C4×C8×D103 | 2 |
| #493×C103 | 2 |
| #3147 | 103 |