Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
320 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 53. Q16×C149 | Q8 | semidirect |
| 90. C149 | #3390 | semidirect |
| 129. Q16 | Dic298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750351 | 2 |
| #23750033 | 2 |
| #23750027 | 2 |
| #23749934 | 2 |
| #23749932 | 2 |
| #23749918 | 2 |
| #23749755 | 2 |
| #23749732 | 2 |
| C4×Q16×C149 | 2 |
| #3390 | 149 |