Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
438 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 438 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 |
|---|---|---|
| 1. C2×D4×#10597010 | C2 | semidirect |
| 2. C2×#18011973 | C2 | semidirect |
| 3. C2×#18011973 | C2 | semidirect |
| 4. #23750577 | C2 | semidirect |
| 5. #23750499 | C2 | semidirect |
| 6. (C2×#10597010)⋊C8 | C2 | semidirect |
| 22. C2×D1192 | C4 | semidirect |
| 23. C2×#14558721 | C4 | semidirect |
| 24. C2×#14558721 | C4 | semidirect |
| 28. C2×D8×C149 | C4 | semidirect |
| 51. C2×D596 | C2×C4 | semidirect |
| 66. C2×#11924746 | C2×C4 | semidirect |
| 70. C2×D4×C149 | C2×C4 | semidirect |
| 72. C2×C8×C149 | C2×C4 | semidirect |
| 85. C2×#10597010 | D8 | semidirect |
| 105. D596 | C22⋊C4 | semidirect |
| 121. D4×C149 | C22⋊C4 | semidirect |
| 170. C149 | #1879 | semidirect |
| 187. C2×D8 | #10597010 | semidirect |
| 215. C2×D4 | C2×#10597010 | semidirect |
| 234. C2×C8 | C2×#10597010 | semidirect |
| 272. D4 | C22⋊#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×#18011973 | 2 |
| #23750577 | 2 |
| #23750499 | 2 |
| (C2×#10597010)⋊C8 | 2 |
| C2×D8×D149 | 2 |
| #1879 | 149 |