Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
380 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 125 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×#18011836 | C2 | semidirect |
| 4. #23749388 | C2 | semidirect |
| 8. #18011890 | C4 | semidirect |
| 75. C22×C149 | #103 | semidirect |
| 94. C149 | #1892 | semidirect |
| 170. C22 | #18011836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011890 | 2 |
| C2×#18011836 | 2 |
| #23749485 | 2 |
| #23749388 | 2 |
| C23×C8×C149 | 2 |
| #1892 | 149 |