Finite Group DatabasebetaFinite Group Databasebeta← C2×(C2×#11744762)⋊C4 #28407707
Order 14464.
528 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 191 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×#11744762)⋊C4 | C2 | direct (N × H) |
| 6. C22×#11744762 | C4 | semidirect |
| 17. C2×#11744762 | C2×C4 | semidirect |
| 20. C22×#90673 | C8 | semidirect |
| 31. C22×Dic113 | C8 | semidirect |
| 34. C2×C4×D113 | C8 | semidirect |
| 36. C22×C4×C113 | C8 | semidirect |
| 54. C2×#90673 | C2×C8 | semidirect |
| 61. C2×C4×C113 | C2×C8 | semidirect |
| 63. C2×Dic113 | C2×C8 | semidirect |
| 90. C2×C113 | #336 | semidirect |
| 94. D113 | #336 | semidirect |
| 100. C113 | C2×#336 | semidirect |
| 130. C22×C4 | #11744762 | semidirect |
| 165. C2×C4 | C2×#11744762 | semidirect |
| 195. C2 | (C2×#11744762)⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#11744762 | 2 |
| (C2×#11744762)⋊C4 | 2 |
| C22×C4×#90673 | 2 |
| C2×#336 | 113 |