Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
618 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 90 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×#18011975 | C2 | semidirect |
| 2. #23750596 | C2 | semidirect |
| 3. C4×C22⋊#10597010 | C2 | semidirect |
| 5. C2×#14558746 | C22 | semidirect |
| 7. C2×C4×#10597010 | C22 | semidirect |
| 15. C2×#14558735 | C4 | semidirect |
| 17. C22×Dic298 | C4 | semidirect |
| 21. C22×D4×C149 | C4 | semidirect |
| 66. Dic298 | C22⋊C4 | semidirect |
| 87. D4×C149 | C22⋊C4 | semidirect |
| 97. C22×C149 | #104 | semidirect |
| 119. C149 | #1789 | semidirect |
| 132. C22×D4 | #10597010 | semidirect |
| 192. D4 | C22⋊#10597010 | semidirect |
| 224. C22 | #18011975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011975 | 2 |
| #23750596 | 2 |
| C4×C22⋊#10597010 | 2 |
| C22×#14558735 | 2 |
| #1789 | 149 |