Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
490 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 105. C22⋊Dic73 | Q16 | semidirect |
| 239. C73 | #10566 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620703 | 2 |
| #22610917 | 2 |
| #22610915 | 2 |
| #22610354 | 2 |
| #22610109 | 2 |
| #22607798 | 2 |
| C73×#1892 | 2 |
| #10566 | 73 |