Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
332 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 145 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. C4×Dic218 | C4 | semidirect |
| 14. #16812624 | C4 | direct (N × H) |
| 60. Dic218 | C42 | semidirect |
| 68. C4×C109 | #103 | semidirect |
| 81. C109 | C4×#103 | semidirect |
| 152. C4 | #16812624 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic218 | 2 |
| C2×#16812624 | 2 |
| C4×C4⋊Dic109 | 2 |
| #20294789 | 2 |
| C2×C4×C8×C109 | 2 |
| C4×#103 | 109 |