Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
145 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 145 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 2. #11757290 | C2 | direct (N × H) |
| 5. C2×#6862 | C4 | semidirect |
| 12. #6862 | C2×C4 | semidirect |
| 107. C2 | #11757290 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6862 | 2 |
| #11757290 | 2 |
| C2×#66328 | 3 |
| C2×(C3⋊Dic3)⋊C9 | 3 |