Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
444 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×#13110092 | C2 | semidirect |
| 2. C2×#15692997 | C2 | semidirect |
| 4. C2×#15692943 | C2 | semidirect |
| 5. C2×(C2×D103)⋊C8 | C2 | semidirect |
| 6. #20267553 | C2 | semidirect |
| 7. C2×#103×C103 | C2 | semidirect |
| 51. C2×C103⋊C8 | D4 | semidirect |
| 53. C4⋊Dic103 | D4 | semidirect |
| 62. C2×Q8×C103 | D4 | semidirect |
| 85. C22×D103 | SD16 | semidirect |
| 158. C103 | #2000 | semidirect |
| 162. C2×#103 | D103 | semidirect |
| 194. C2×Q8 | D412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110092 | 2 |
| C2×#15692997 | 2 |
| C2×#15692996 | 2 |
| C2×#15692943 | 2 |
| C2×(C2×D103)⋊C8 | 2 |
| #20267553 | 2 |
| C2×#103×C103 | 2 |
| #2000 | 103 |