Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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×#18011839 | C2 | semidirect |
| 3. #23749627 | C2 | semidirect |
| 4. #23749626 | C2 | semidirect |
| 5. #23749491 | C2 | semidirect |
| 6. #23749393 | C2 | semidirect |
| 7. C2×#104×C149 | C2 | semidirect |
| 62. C42×C149 | D4 | semidirect |
| 127. C149 | #2040 | semidirect |
| 131. C2×#104 | D149 | semidirect |
| 190. C42 | C22⋊D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750203 | 2 |
| C2×#18011839 | 2 |
| #23749627 | 2 |
| #23749626 | 2 |
| #23749491 | 2 |
| #23749393 | 2 |
| C2×#104×C149 | 2 |
| #2040 | 149 |