Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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×#15692954 | C2 | semidirect |
| 5. #20267559 | C2 | semidirect |
| 6. #20267555 | C2 | semidirect |
| 7. #343×C103 | C2 | semidirect |
| 95. C103 | #2078 | semidirect |
| 101. #343 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692954 | 2 |
| #20267793 | 2 |
| #20267790 | 2 |
| #20267759 | 2 |
| #20267559 | 2 |
| #20267555 | 2 |
| #343×C103 | 2 |
| #2078 | 103 |