Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
256 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 66 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×#18011986 | C2 | semidirect |
| 2. C2×#18011981 | C2 | semidirect |
| 3. #23750543 | C2 | direct (N × H) |
| 7. #18011986 | C22 | semidirect |
| 10. #18011981 | C22 | semidirect |
| 83. C2×C149 | #361 | semidirect |
| 88. C149 | C2×#361 | semidirect |
| 175. C2 | #23750543 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011986 | 2 |
| C2×#18011981 | 2 |
| #23750543 | 2 |
| C2×D8×D149 | 2 |
| C2×#361 | 149 |