Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20295504 | C2 | semidirect |
| 3. C2×#16812618 | C2 | semidirect |
| 4. #20294786 | C2 | semidirect |
| 15. #124×C109 | C4 | semidirect |
| 80. C109 | #1888 | semidirect |
| 90. #124 | Dic109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295504 | 2 |
| #20295031 | 2 |
| C2×#16812618 | 2 |
| #20294786 | 2 |
| C2×#124×C109 | 2 |
| #1888 | 109 |