Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
328 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20299684 | C2 | direct (N × H) |
| 28. C22×Dic113 | C8 | semidirect |
| 33. C2×C4×D113 | C8 | semidirect |
| 35. C22×C4×C113 | C8 | semidirect |
| 58. C2×C4×C113 | C2×C8 | semidirect |
| 61. C2×Dic113 | C2×C8 | semidirect |
| 90. C2×C113 | #324 | semidirect |
| 94. D113 | #324 | semidirect |
| 98. C113 | C2×#324 | semidirect |
| 129. C22×C4 | #11744762 | semidirect |
| 162. C2×C4 | C2×#11744762 | semidirect |
| 193. C2 | #20299684 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#11744762 | 2 |
| #20299684 | 2 |
| C22×C4⋊#90673 | 2 |
| C2×#324 | 113 |