Finite Group DatabasebetaFinite Group Databasebeta← C2×C4×C22⋊(C13⋊C3) #11929259
Order 1248.
132 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C4×C22⋊(C13⋊C3) | C2 | direct (N × H) |
| 3. C23×C4×C13 | C3 | semidirect |
| 4. C2×C22⋊(C13⋊C3) | C4 | direct (N × H) |
| 11. C22×C4×C13 | C2×C3 | semidirect |
| 12. C22⋊(C13⋊C3) | C2×C4 | direct (N × H) |
| 18. C23×C13 | C3×C4 | semidirect |
| 25. C2×C4×C13 | A4 | semidirect |
| 36. C22×C13 | C2×C3×C4 | semidirect |
| 39. C4×C13 | C2×A4 | semidirect |
| 43. C23×C4 | C13⋊C3 | semidirect |
| 47. C2×C13 | C4×A4 | semidirect |
| 56. C22×C4 | C2×C13⋊C3 | semidirect |
| 57. C13 | C2×C4×A4 | semidirect |
| 64. C23 | C4×C13⋊C3 | semidirect |
| 71. C2×C4 | C22⋊(C13⋊C3) | direct (N × H) |
| 81. C22 | C2×C4×C13⋊C3 | semidirect |
| 84. C4 | C2×C22⋊(C13⋊C3) | direct (N × H) |
| 89. C2 | C4×C22⋊(C13⋊C3) | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊(C13⋊C3) | 2 |
| C4×C22⋊(C13⋊C3) | 2 |
| C23×C4×C13 | 3 |
| C2×C4×C13⋊C3 | 4 |
| C2×C4×A4 | 13 |