Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
534 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. C2×#17989684 | C2 | semidirect |
| 2. #22626954 | C2 | direct (N × H) |
| 6. #17989684 | C22 | semidirect |
| 133. C2×C73 | #1315 | semidirect |
| 141. C73 | C2×#1315 | semidirect |
| 272. C2 | #22626954 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989684 | 2 |
| #22626954 | 2 |
| C2×#17989561 | 2 |
| C2×#1315 | 73 |