Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
402 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 160 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. #20296075 | C2 | semidirect |
| 2. #20296061 | C2 | semidirect |
| 3. #20296059 | C2 | semidirect |
| 4. #20296048 | C2 | semidirect |
| 5. #20296046 | C2 | semidirect |
| 6. C4×#13182039 | C2 | semidirect |
| 7. C4×#13182038 | C2 | semidirect |
| 79. Dic218 | M16 | semidirect |
| 82. #11724786 | #41 | semidirect |
| 105. C109 | #2971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296075 | 2 |
| #20296061 | 2 |
| #20296059 | 2 |
| #20296048 | 2 |
| #20296046 | 2 |
| C4×#13182039 | 2 |
| C4×#13182038 | 2 |
| C4×#13182028 | 2 |
| #2971 | 109 |