Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
296 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 2. #23750502 | C2 | semidirect |
| 10. #18011867 | C4 | semidirect |
| 11. C2×C22⋊Dic149 | C4 | semidirect |
| 13. C2×C22⋊C4×C149 | C4 | semidirect |
| 73. C149 | #1828 | semidirect |
| 85. C2×C22⋊C4 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011969 | 2 |
| #23750502 | 2 |
| #23750098 | 2 |
| #1828 | 149 |