Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
324 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 11. #18011909 | C4 | semidirect |
| 111. Dic149 | #103 | semidirect |
| 119. C149 | #1981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011909 | 2 |
| C2×#18011840 | 2 |
| C2×#18011836 | 2 |
| C2×#18011835 | 2 |
| C2×#18011834 | 2 |
| C4⋊C4×Dic149 | 2 |
| C2×#103×C149 | 2 |
| #1981 | 149 |