Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
872 conjugacy classes of subgroups; only the 275 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 275 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×Q8×Dic103 | C2 | semidirect |
| 3. #20267693 | C2 | semidirect |
| 4. #20267692 | C2 | semidirect |
| 5. #20267648 | C2 | semidirect |
| 6. C4×(C2×D103)⋊C4 | C2 | semidirect |
| 7. C2×C4×Q8×C103 | C2 | semidirect |
| 10. C2×#13110106 | C4 | semidirect |
| 57. Q8×C103 | C22⋊C4 | semidirect |
| 66. C2×C4×C103 | #41 | semidirect |
| 75. C2×Dic103 | #41 | semidirect |
| 107. C103 | #2341 | semidirect |
| 110. C2×C4×Q8 | D103 | semidirect |
| 164. Q8 | (C2×D103)⋊C4 | semidirect |
| 184. C2×C4 | #13110106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110106 | 2 |
| C2×Q8×Dic103 | 2 |
| #20267693 | 2 |
| #20267692 | 2 |
| #20267648 | 2 |
| C4×(C2×D103)⋊C4 | 2 |
| C2×C4×Q8×C103 | 2 |
| #2341 | 103 |