Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
444 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 170 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 |
|---|---|---|
| 18. #18011903 | C4 | semidirect |
| 19. #18011902 | C4 | semidirect |
| 20. #18011901 | C4 | semidirect |
| 24. #125×C149 | C4 | semidirect |
| 91. C149 | #2330 | semidirect |
| 103. #125 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750576 | 2 |
| #23750574 | 2 |
| #23750571 | 2 |
| C4⋊C4×#10597010 | 2 |
| #23750561 | 2 |
| #125×D149 | 2 |
| #2330 | 149 |