Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
298 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 19. #18011836 | C4 | semidirect |
| 57. Dic298 | C4⋊C4 | semidirect |
| 109. C149 | #1865 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic298 | 2 |
| C2×#18011843 | 2 |
| C2×#18011836 | 2 |
| #23749523 | 2 |
| #23749388 | 2 |
| #336×C149 | 2 |
| #1865 | 149 |