Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
272 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 9. #18011980 | C4 | semidirect |
| 10. #18011979 | C4 | semidirect |
| 15. #18011822 | C4 | semidirect |
| 16. #18011821 | C4 | semidirect |
| 17. #18011821 | C4 | semidirect |
| 18. #97×C149 | C4 | semidirect |
| 55. #11924746 | C42 | semidirect |
| 59. C8×C149 | C42 | semidirect |
| 78. C149 | #1776 | semidirect |
| 96. #97 | #10597010 | semidirect |
| 138. C8 | C4×#10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011980 | 2 |
| C2×#18011979 | 2 |
| C4×C4⋊#10597010 | 2 |
| #23750499 | 2 |
| #97×D149 | 2 |
| #1776 | 149 |