Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
226 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 7. #18011968 | C4 | semidirect |
| 9. (C2×#10597010)⋊C4 | C4 | semidirect |
| 12. C2×C4×Dic149 | C4 | semidirect |
| 14. C2×C42×C149 | C4 | semidirect |
| 91. C149 | #1284 | semidirect |
| 101. C2×C42 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750597 | 2 |
| #23750568 | 2 |
| C4×#14558713 | 2 |
| #1284 | 149 |