Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. C2×#15692953 | C2 | semidirect |
| 3. C2×#15692946 | C2 | semidirect |
| 5. #20267697 | C2 | semidirect |
| 7. C2×C4×C8×C103 | C2 | semidirect |
| 12. C2×#13110094 | C4 | semidirect |
| 64. C2×C4×C103 | SD16 | semidirect |
| 87. C8×C103 | C22⋊C4 | semidirect |
| 113. C103 | #1968 | semidirect |
| 118. C2×C4×C8 | D103 | semidirect |
| 192. C2×C4 | #13110094 | semidirect |
| 200. C8 | (C2×D103)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110094 | 2 |
| C2×#15692953 | 2 |
| C2×#15692946 | 2 |
| C2×#15692943 | 2 |
| #20267697 | 2 |
| #20267693 | 2 |
| C2×C4×C8×C103 | 2 |
| #1968 | 103 |