Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
484 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 297 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 |
|---|---|---|
| 3. #4999 | C2 | semidirect |
| 4. #4924 | C2 | semidirect |
| 5. C2×C4⋊(C3⋊C8) | C2 | semidirect |
| 99. C3×C4 | #131 | semidirect |
| 129. C4 | #948 | semidirect |
| 132. C3 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×#41 | 2 |
| C2×#948 | 2 |
| #4999 | 2 |
| #4924 | 2 |
| C2×C4⋊(C3⋊C8) | 2 |
| #2906 | 3 |