Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20299076 | C2 | semidirect |
| 3. C2×#16813541 | C2 | semidirect |
| 4. #20298358 | C2 | semidirect |
| 15. #124×C113 | C4 | semidirect |
| 80. C113 | #1888 | semidirect |
| 90. #124 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299076 | 2 |
| #20298603 | 2 |
| C2×#16813541 | 2 |
| #20298358 | 2 |
| C2×#124×C113 | 2 |
| #1888 | 113 |