Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
416 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23749911 | C2 | direct (N × H) |
| 27. C2×Dic298 | Q8 | semidirect |
| 49. Dic298 | C2×Q8 | semidirect |
| 78. C2×C149 | #475 | semidirect |
| 82. C149 | C2×#475 | semidirect |
| 161. C2 | #23749911 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011911 | 2 |
| C2×C4×Dic298 | 2 |
| #23749911 | 2 |
| C2×#18011843 | 2 |
| C2×#18011836 | 2 |
| C2×C4⋊C8×C149 | 2 |
| C2×#475 | 149 |