Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
370 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20268274 | C2 | semidirect |
| 3. #20267797 | C2 | semidirect |
| 4. #20267693 | C2 | semidirect |
| 5. #20267559 | C2 | semidirect |
| 6. #20267551 | C2 | semidirect |
| 7. C2×#104×C103 | C2 | semidirect |
| 10. #15693046 | C4 | semidirect |
| 34. C2×D412 | C2×C4 | semidirect |
| 40. #13110089 | C2×C4 | semidirect |
| 75. Q8×C103 | C22⋊C4 | semidirect |
| 79. D4×C103 | C22⋊C4 | semidirect |
| 133. C103 | #1883 | semidirect |
| 136. C2×#104 | D103 | semidirect |
| 208. Q8 | (C2×D103)⋊C4 | semidirect |
| 216. D4 | (C2×D103)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693046 | 2 |
| #20268274 | 2 |
| #20267797 | 2 |
| #20267693 | 2 |
| #20267559 | 2 |
| #20267551 | 2 |
| C2×#104×C103 | 2 |
| #1883 | 103 |