Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
418 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 37. #14556502 | C8 | semidirect |
| 38. #14556501 | C8 | semidirect |
| 39. #97×C73 | C8 | semidirect |
| 89. C8×C73 | C4⋊C8 | semidirect |
| 90. #10596831 | C4⋊C8 | semidirect |
| 116. C73 | #8808 | semidirect |
| 148. #97 | #10596842 | semidirect |
| 201. C8 | C4⋊#10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627075 | 2 |
| #22627073 | 2 |
| C2×#17989677 | 2 |
| C2×#17989676 | 2 |
| #97×#64408 | 2 |
| #8808 | 73 |