Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
162 conjugacy classes of subgroups; only the 38 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 38 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 |
|---|---|---|
| 4. C2×#13182039 | C4 | semidirect |
| 5. C2×D109⋊C8 | C4 | semidirect |
| 13. #16812618 | C4 | semidirect |
| 15. #101×C109 | C4 | semidirect |
| 77. C109 | #1395 | semidirect |
| 87. #101 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296007 | 2 |
| #20296001 | 2 |
| #20295009 | 2 |
| #1395 | 109 |