Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
522 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 5. (C2×#10596842)⋊C4 | C4 | semidirect |
| 20. C2×C4×#64408 | C8 | semidirect |
| 28. C2×C4×Dic73 | C8 | semidirect |
| 31. C2×C42×C73 | C8 | semidirect |
| 156. C73 | #7017 | semidirect |
| 182. C2×C42 | #10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627072 | 2 |
| C4×(C2×#64408)⋊C4 | 2 |
| #7017 | 73 |