Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #23749395 | C2 | semidirect |
| 5. #23749385 | C2 | semidirect |
| 6. #23749381 | C2 | semidirect |
| 7. #533×C149 | C2 | semidirect |
| 27. C2×Dic298 | Q8 | semidirect |
| 28. C2×D596 | Q8 | semidirect |
| 101. C149 | #2031 | semidirect |
| 103. #533 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749643 | 2 |
| C2×#18011839 | 2 |
| #23749598 | 2 |
| #23749395 | 2 |
| #23749385 | 2 |
| #23749381 | 2 |
| #533×C149 | 2 |
| #2031 | 149 |