Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
272 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 8. #16812754 | C4 | semidirect |
| 11. #16812610 | C4 | semidirect |
| 12. #16812609 | C4 | semidirect |
| 13. #97×C109 | C4 | semidirect |
| 52. C109 | #1745 | semidirect |
| 65. #97 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295985 | 2 |
| C42×#89137 | 2 |
| (C2×#89137)⋊C8 | 2 |
| #97×D109 | 2 |
| #1745 | 109 |