Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
1004 conjugacy classes of subgroups; only the 485 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 485 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. #20268402 | C2 | direct (N × H) |
| 3. C2×#15693013 | C2 | semidirect |
| 4. C2×#15693011 | C2 | semidirect |
| 6. C2×Q8×Dic103 | C2 | semidirect |
| 8. C2×C4⋊Q8×C103 | C2 | semidirect |
| 11. #15693013 | C22 | semidirect |
| 12. #15693011 | C22 | semidirect |
| 14. Q8×Dic103 | C22 | semidirect |
| 26. C4⋊Q8×C103 | C22 | semidirect |
| 81. C2×C103 | #541 | semidirect |
| 86. C103 | C2×#541 | semidirect |
| 88. C2×C4⋊Q8 | D103 | semidirect |
| 97. C4⋊Q8 | C2×D103 | semidirect |
| 168. C2 | #20268402 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268402 | 2 |
| C2×#15693016 | 2 |
| C2×#15693013 | 2 |
| C2×#15693011 | 2 |
| C2×#15692997 | 2 |
| C2×Q8×Dic103 | 2 |
| C2×#15692978 | 2 |
| C2×C4⋊Q8×C103 | 2 |
| C2×#541 | 103 |