Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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. #23749987 | C2 | semidirect |
| 3. #23749977 | C2 | semidirect |
| 4. #23749973 | C2 | semidirect |
| 5. #23749624 | C2 | semidirect |
| 6. C4×#14558720 | C2 | semidirect |
| 7. C2×C4⋊Q8×C149 | C2 | semidirect |
| 100. C149 | #3141 | semidirect |
| 103. C2×C4⋊Q8 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750175 | 2 |
| #23749987 | 2 |
| #23749977 | 2 |
| #23749973 | 2 |
| #23749624 | 2 |
| C4×#14558720 | 2 |
| C2×C4⋊Q8×C149 | 2 |
| #3141 | 149 |