Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
212 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 26. #14556525 | C8 | semidirect |
| 28. #107×C73 | C8 | semidirect |
| 94. C73 | #7119 | semidirect |
| 113. #107 | #10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627006 | 2 |
| (C2×#10596842)⋊C8 | 2 |
| #22626039 | 2 |
| #7119 | 73 |