Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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×#15692948 | C2 | semidirect |
| 3. #20267795 | C2 | semidirect |
| 4. #20267692 | C2 | semidirect |
| 5. #20267560 | C2 | semidirect |
| 6. #20267550 | C2 | semidirect |
| 7. #520×C103 | C2 | semidirect |
| 10. #15693046 | C4 | semidirect |
| 34. C2×D412 | C2×C4 | semidirect |
| 41. #13110089 | C2×C4 | semidirect |
| 75. Q8×C103 | C22⋊C4 | semidirect |
| 79. D4×C103 | C22⋊C4 | semidirect |
| 133. C103 | #1883 | semidirect |
| 135. #520 | 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 |
| C2×#15692948 | 2 |
| #20267795 | 2 |
| #20267692 | 2 |
| #20267560 | 2 |
| #20267550 | 2 |
| #520×C103 | 2 |
| #1883 | 103 |