Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
362 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 2. C2×#18011979 | C2 | semidirect |
| 4. #23750576 | C2 | semidirect |
| 5. #23750498 | C2 | semidirect |
| 6. (C2×#10597010)⋊C8 | C2 | semidirect |
| 23. #18011833 | C4 | semidirect |
| 24. #18011832 | C4 | semidirect |
| 25. #18011831 | C4 | semidirect |
| 26. #102×C149 | C4 | semidirect |
| 54. C2×#11924746 | C2×C4 | semidirect |
| 57. C4⋊Dic149 | C2×C4 | semidirect |
| 60. C2×C8×C149 | C2×C4 | semidirect |
| 61. C4⋊C4×C149 | C2×C4 | semidirect |
| 85. D596 | C4⋊C4 | semidirect |
| 99. D4×C149 | C4⋊C4 | semidirect |
| 139. C149 | #1864 | semidirect |
| 165. #102 | #10597010 | semidirect |
| 190. C2×C8 | C2×#10597010 | semidirect |
| 198. C4⋊C4 | C2×#10597010 | semidirect |
| 216. D4 | C4⋊#10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×#10597010 | 2 |
| C2×#18011979 | 2 |
| C2×#18011973 | 2 |
| #23750576 | 2 |
| #23750498 | 2 |
| (C2×#10597010)⋊C8 | 2 |
| #102×D149 | 2 |
| #1864 | 149 |