Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
1664 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×Q8×Dic3 | C2 | direct (N × H) |
| 6. C22×C3×Q8 | C4 | semidirect |
| 11. Q8×Dic3 | C22 | direct (N × H) |
| 19. C2×C3×Q8 | C2×C4 | semidirect |
| 24. C22×Dic3 | Q8 | direct (N × H) |
| 29. C22×Q8 | Dic3 | direct (N × H) |
| 41. C3×Q8 | C22×C4 | semidirect |
| 45. C2×Dic3 | C2×Q8 | direct (N × H) |
| 49. C2×Q8 | C2×Dic3 | direct (N × H) |
| 59. C22×C3 | C4×Q8 | semidirect |
| 66. Dic3 | C22×Q8 | direct (N × H) |
| 71. Q8 | C22×Dic3 | direct (N × H) |
| 78. C2×C3 | C2×C4×Q8 | semidirect |
| 82. C22 | Q8×Dic3 | direct (N × H) |
| 90. C3 | C22×C4×Q8 | semidirect |
| 91. C2 | C2×Q8×Dic3 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C3×Q8 | 2 |
| C2×Q8×Dic3 | 2 |
| C22×C4⋊Dic3 | 2 |
| C22×C4×Dic3 | 2 |
| C22×C4×Q8 | 3 |