Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×#16813567 | C2 | semidirect |
| 2. C2×#16813566 | C2 | semidirect |
| 3. C2×#16813565 | C2 | semidirect |
| 4. #20298976 | C2 | semidirect |
| 6. C16×Dic113 | C2 | semidirect |
| 7. C2×SD32×C113 | C2 | semidirect |
| 35. #14268622 | D4 | semidirect |
| 43. C16×C113 | D4 | semidirect |
| 71. Dic113 | SD32 | semidirect |
| 77. C113 | #2248 | semidirect |
| 81. C2×SD32 | D113 | semidirect |
| 120. C16 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813567 | 2 |
| C2×#16813566 | 2 |
| C2×#16813565 | 2 |
| #20298976 | 2 |
| #20298973 | 2 |
| C16×Dic113 | 2 |
| C2×SD32×C113 | 2 |
| #2248 | 113 |