Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 105 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×C4⋊#11924746 | C2 | semidirect |
| 3. C2×#18011840 | C2 | semidirect |
| 6. #23749379 | C2 | semidirect |
| 7. #336×C149 | C2 | semidirect |
| 72. C2×Dic149 | M16 | semidirect |
| 85. C2×C4×C149 | M16 | semidirect |
| 125. C149 | #1851 | semidirect |
| 133. #336 | D149 | semidirect |
| 209. C2×C4 | #14558719 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558719 | 2 |
| C2×C4⋊#11924746 | 2 |
| C2×#18011840 | 2 |
| C2×#18011823 | 2 |
| C4×#14558713 | 2 |
| #23749379 | 2 |
| #336×C149 | 2 |
| #1851 | 149 |