Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
380 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 80 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. #23750567 | C2 | semidirect |
| 3. #23750503 | C2 | semidirect |
| 10. C22×C4×D149 | C4 | semidirect |
| 14. C2×C4⋊Dic149 | C4 | semidirect |
| 15. C2×#14558713 | C4 | semidirect |
| 17. C2×C42×C149 | C4 | semidirect |
| 53. C22×D149 | C4⋊C4 | semidirect |
| 76. C2×C4×C149 | C4⋊C4 | semidirect |
| 98. C4×C149 | #99 | semidirect |
| 109. C149 | #1799 | semidirect |
| 125. C2×C42 | #10597010 | semidirect |
| 186. C2×C4 | C4⋊#10597010 | semidirect |
| 210. C4 | #18011970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011970 | 2 |
| #23750567 | 2 |
| #23750503 | 2 |
| C2×C4×D596 | 2 |
| #1799 | 149 |