Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20298977 | C2 | semidirect |
| 3. #20298950 | C2 | semidirect |
| 4. #20298808 | C2 | semidirect |
| 63. C2×C4×C113 | Q16 | semidirect |
| 93. C113 | #3209 | semidirect |
| 160. C2×C4 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813622 | 2 |
| #20298977 | 2 |
| #20298950 | 2 |
| #20298808 | 2 |
| #20298753 | 2 |
| #20298651 | 2 |
| #533×C113 | 2 |
| #3209 | 113 |