Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
200 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 78 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. #18011965 | C4 | semidirect |
| 9. C8×#10597010 | C4 | semidirect |
| 13. #18011821 | C4 | semidirect |
| 14. C4×#11924746 | C4 | semidirect |
| 15. C8×Dic149 | C4 | semidirect |
| 16. #97×C149 | C4 | semidirect |
| 61. C149 | #1747 | semidirect |
| 75. #97 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750588 | 2 |
| #23750494 | 2 |
| #23750493 | 2 |
| #23750492 | 2 |
| #23749582 | 2 |
| #1747 | 149 |