Finite Group DatabasebetaFinite Group DatabasebetaOrder 6208.
202 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| subgroup | G/H | |
|---|---|---|
| center | C2×C4 | C2×#87604 |
| commutator | C2×C97 | C22×C8 |
| Frattini | C22 | C22×#87604 |
| Fitting | C22×C4×C97 | C4 |
| socle | C22×C97 | C22×C4 |
| hypercenter | C22×C4 | #87604 |
| hypocenter | C97 | C2×C22⋊C8 |
| LCS | G ▷ C2×C97 ▷ C97 | |
| UCS | C1 ◁ C2×C4 ◁ C22×C4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13095519 | C2 | semidirect |
| 2. #15690867 | C2 | semidirect |
| 3. C22⋊#11715897 | C2 | semidirect |
| 6. C2×#11715897 | C22 | semidirect |
| 18. C22×D97 | C8 | semidirect |
| 34. C22×C97 | C2×C8 | semidirect |
| 41. C2×D97 | C2×C8 | semidirect |
| 52. D97 | C22⋊C8 | semidirect |
| 53. C97 | C2×C22⋊C8 | semidirect |
| 95. C22 | #13095519 | semidirect |