Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#16812645 | C2 | semidirect |
| 2. C2×#16812644 | C2 | semidirect |
| 4. #20295411 | C2 | semidirect |
| 5. #20295409 | C2 | semidirect |
| 6. C16×Dic109 | C2 | semidirect |
| 7. C2×SD32×C109 | C2 | semidirect |
| 76. C109 | #2249 | semidirect |
| 79. C2×SD32 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812645 | 2 |
| C2×#16812644 | 2 |
| C2×#16812640 | 2 |
| #20295411 | 2 |
| #20295409 | 2 |
| C16×Dic109 | 2 |
| C2×SD32×C109 | 2 |
| #2249 | 109 |