Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20298978 | C2 | semidirect |
| 3. #20298950 | C2 | semidirect |
| 5. #20298704 | C2 | semidirect |
| 7. #498×C113 | C2 | semidirect |
| 69. C113 | #3185 | semidirect |
| 71. #498 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| #20298978 | 2 |
| #20298950 | 2 |
| #20298857 | 2 |
| #20298704 | 2 |
| C4×#14268630 | 2 |
| #498×C113 | 2 |
| #3185 | 113 |