Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
400 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 400 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 |
|---|---|---|
| 1. #20295583 | C2 | semidirect |
| 3. #20295381 | C2 | semidirect |
| 4. #20295377 | C2 | semidirect |
| 5. #20295373 | C2 | semidirect |
| 6. #20295023 | C2 | semidirect |
| 7. C2×C4×C8×C109 | C2 | semidirect |
| 79. C109 | #3131 | semidirect |
| 86. C2×C4×C8 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| #20295576 | 2 |
| #20295381 | 2 |
| #20295377 | 2 |
| #20295373 | 2 |
| #20295023 | 2 |
| C2×C4×C8×C109 | 2 |
| #3131 | 109 |