Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #23750003 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 5. #23749834 | C2 | semidirect |
| 6. #23749833 | C2 | semidirect |
| 94. C2×Dic149 | Q16 | semidirect |
| 133. C149 | #3209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750177 | 2 |
| C2×#18011909 | 2 |
| #23750003 | 2 |
| #23749974 | 2 |
| #23749834 | 2 |
| #23749833 | 2 |
| #23749783 | 2 |
| #23749781 | 2 |
| #23749780 | 2 |
| #23749675 | 2 |
| #451×C149 | 2 |
| #3209 | 149 |