Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
376 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 1. C2×#18011979 | C2 | semidirect |
| 2. C2×#18011973 | C2 | semidirect |
| 3. C2×#18011965 | C2 | semidirect |
| 4. #23750577 | C2 | semidirect |
| 14. C2×D1192 | C4 | semidirect |
| 15. C2×#14558721 | C4 | semidirect |
| 19. C2×D8×C149 | C4 | semidirect |
| 66. #11924746 | C22⋊C4 | semidirect |
| 71. C8×C149 | C22⋊C4 | semidirect |
| 95. C149 | #1972 | semidirect |
| 107. C2×D8 | #10597010 | semidirect |
| 167. C8 | C22⋊#10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011979 | 2 |
| C2×#18011973 | 2 |
| C2×#18011965 | 2 |
| #23750577 | 2 |
| C2×D8×D149 | 2 |
| #1972 | 149 |