Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 65 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. #23749649 | C2 | semidirect |
| 3. C2×#18011839 | C2 | semidirect |
| 4. #23749609 | C2 | semidirect |
| 5. #23749607 | C2 | semidirect |
| 6. #23749383 | C2 | semidirect |
| 7. C2×#104×C149 | C2 | semidirect |
| 122. C149 | #2050 | semidirect |
| 127. C2×#104 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750423 | 2 |
| #23749649 | 2 |
| C2×#18011839 | 2 |
| #23749609 | 2 |
| #23749607 | 2 |
| #23749383 | 2 |
| C2×#104×C149 | 2 |
| #2050 | 149 |