Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3342 conjugacy classes of subgroups; only the 739 normal subgroups are shown.
This group has 3342 conjugacy classes of subgroups — too many to draw. Only its 739 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. C2×#11718600 | C2 | semidirect |
| 3. C2×#11718596 | C2 | semidirect |
| 4. C2×C43×C13 | C2 | semidirect |
| 12. C2×#88128 | C4 | semidirect |
| 30. C2×C42×C13 | D4 | semidirect |
| 58. C42×C13 | C22⋊C4 | semidirect |
| 64. C2×C43 | D13 | semidirect |
| 84. C2×C4×C13 | #127 | semidirect |
| 112. C4×C13 | #390 | semidirect |
| 131. C2×C42 | D52 | semidirect |
| 163. C42 | #6103 | semidirect |
| 164. C13 | #14713 | semidirect |
| 184. C2×C4 | #88128 | semidirect |
| 202. C4 | #11718600 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88128 | 2 |
| C2×#11718600 | 2 |
| C2×#11718596 | 2 |
| C2×C43×C13 | 2 |
| #14713 | 13 |