Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
224 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 90 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. #18011982 | C4 | semidirect |
| 9. #18011981 | C4 | semidirect |
| 10. #18011980 | C4 | semidirect |
| 11. #18011979 | C4 | semidirect |
| 17. #18011822 | C4 | semidirect |
| 18. #18011821 | C4 | semidirect |
| 19. #18011821 | C4 | semidirect |
| 20. #97×C149 | C4 | semidirect |
| 75. C149 | #1773 | semidirect |
| 95. #97 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊#108 | 2 |
| #23750635 | 2 |
| #23750588 | 2 |
| #23750496 | 2 |
| #97×D149 | 2 |
| #1773 | 149 |