Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
2000 conjugacy classes of subgroups; only the 568 normal subgroups are shown.
This group has 2000 conjugacy classes of subgroups — too many to draw. Only its 568 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. C32×#1094 | C2 | direct (N × H) |
| 3. C2×C3×#1094 | C3 | direct (N × H) |
| 4. C2×C32×C22⋊C9 | C3 | semidirect |
| 9. C3×#1094 | C2×C3 | direct (N × H) |
| 10. C32×C22⋊C9 | C2×C3 | semidirect |
| 15. C2×#1094 | C32 | direct (N × H) |
| 16. C2×C3×C22⋊C9 | C32 | semidirect |
| 31. #1094 | C2×C32 | direct (N × H) |
| 32. C3×C22⋊C9 | C2×C32 | semidirect |
| 37. C23×C32 | 3−1+2 | semidirect |
| 40. C2×C22⋊C9 | C33 | semidirect |
| 61. C22×C32 | C2×3−1+2 | semidirect |
| 64. C22⋊C9 | C2×C33 | semidirect |
| 71. C23×C3 | C3×3−1+2 | semidirect |
| 82. C2×C32 | #1094 | direct (N × H) |
| 93. C22×C3 | C2×C3×3−1+2 | semidirect |
| 96. C32 | C2×#1094 | direct (N × H) |
| 100. C23 | C32×3−1+2 | semidirect |
| 108. C2×C3 | C3×#1094 | direct (N × H) |
| 112. C22 | C2×C32×3−1+2 | semidirect |
| 114. C3 | C2×C3×#1094 | direct (N × H) |
| 118. C2 | C32×#1094 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#1094 | 2 |
| C23×C34 | 3 |
| C2×C3×#1094 | 3 |
| C2×C32×C22⋊C9 | 3 |
| C2×C32×3−1+2 | 4 |