Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
402 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 148 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. #20296061 | C2 | semidirect |
| 2. #20296057 | C2 | semidirect |
| 3. D4×#11724786 | C2 | semidirect |
| 4. #20296048 | C2 | semidirect |
| 5. #20296044 | C2 | semidirect |
| 6. #20295999 | C2 | semidirect |
| 93. C109 | #2981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296061 | 2 |
| #20296057 | 2 |
| D4×#11724786 | 2 |
| #20296048 | 2 |
| #20296044 | 2 |
| #20295999 | 2 |
| #20295574 | 2 |
| #2981 | 109 |