Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. C2×C4⋊#11744751 | C2 | semidirect |
| 4. #20298360 | C2 | semidirect |
| 5. #384×C113 | C2 | semidirect |
| 10. C4×D452 | C4 | semidirect |
| 75. D452 | C4⋊C4 | semidirect |
| 94. C4×C113 | #102 | semidirect |
| 109. C113 | #1802 | semidirect |
| 113. #384 | D113 | semidirect |
| 204. C4 | #16813542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| C2×C4⋊#11744751 | 2 |
| C2×#16813542 | 2 |
| #20298360 | 2 |
| #384×C113 | 2 |
| #1802 | 113 |