Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
224 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
| 12. #18011965 | C4 | semidirect |
| 13. #18011965 | C4 | semidirect |
| 17. #18011847 | C4 | semidirect |
| 18. #18011846 | C4 | semidirect |
| 19. #108×C149 | C4 | semidirect |
| 71. C149 | #1773 | semidirect |
| 85. #108 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750635 | 2 |
| #23750591 | 2 |
| C2×#18011965 | 2 |
| #23750497 | 2 |
| #108×D149 | 2 |
| #1773 | 149 |