Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
408 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 113 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×C22⋊(C103⋊C8) | C2 | semidirect |
| 3. C2×(C2×D103)⋊C8 | C2 | semidirect |
| 4. #20267545 | C2 | semidirect |
| 5. C22×M16×C103 | C2 | semidirect |
| 50. C2×C8×C103 | D4 | semidirect |
| 61. C22×D103 | M16 | semidirect |
| 78. C2×Dic103 | M16 | semidirect |
| 114. C103 | #1870 | semidirect |
| 115. C22×M16 | D103 | semidirect |
| 159. C2×C8 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D103 | 2 |
| C2×C22⋊(C103⋊C8) | 2 |
| C2×(C2×D103)⋊C8 | 2 |
| #20267545 | 2 |
| C22×M16×C103 | 2 |
| #1870 | 103 |