Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C4⋊Dic5 and Q=C6

Direct product G=N×Q with N=C4⋊Dic5 and Q=C6
dρLabelID
C6×C4⋊Dic5480C6xC4:Dic5480,718

Semidirect products G=N:Q with N=C4⋊Dic5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊Dic5⋊1C6 = C3×D20⋊5C4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:1C6480,99
C4⋊Dic5⋊2C6 = C3×Dic5.14D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:2C6480,671
C4⋊Dic5⋊3C6 = C3×C23.D10φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:3C6480,672
C4⋊Dic5⋊4C6 = C3×D10.12D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:4C6480,676
C4⋊Dic5⋊5C6 = C3×C22.D20φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:5C6480,679
C4⋊Dic5⋊6C6 = C3×D10⋊2Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:6C6480,690
C4⋊Dic5⋊7C6 = C3×C4⋊C4⋊D5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:7C6480,691
C4⋊Dic5⋊8C6 = C3×C20.48D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:8C6480,717
C4⋊Dic5⋊9C6 = C3×C20⋊7D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:9C6480,723
C4⋊Dic5⋊10C6 = C3×D4⋊Dic5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:10C6480,110
C4⋊Dic5⋊11C6 = C3×D5×C4⋊C4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:11C6480,684
C4⋊Dic5⋊12C6 = C3×C4⋊C4⋊7D5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:12C6480,685
C4⋊Dic5⋊13C6 = C3×D4×Dic5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:13C6480,727
C4⋊Dic5⋊14C6 = C3×C20⋊2D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:14C6480,731
C4⋊Dic5⋊15C6 = C3×D10⋊3Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5240C4:Dic5:15C6480,739
C4⋊Dic5⋊16C6 = C12×D20φ: trivial image240C4:Dic5:16C6480,666
C4⋊Dic5⋊17C6 = C3×C23.21D10φ: trivial image240C4:Dic5:17C6480,719

Non-split extensions G=N.Q with N=C4⋊Dic5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊Dic5.1C6 = C3×C20.44D4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.1C6480,94
C4⋊Dic5.2C6 = C3×C40⋊6C4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.2C6480,95
C4⋊Dic5.3C6 = C3×C40⋊5C4φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.3C6480,96
C4⋊Dic5.4C6 = C3×C20⋊2Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.4C6480,662
C4⋊Dic5.5C6 = C3×C20.6Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.5C6480,663
C4⋊Dic5.6C6 = C3×Dic5.Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.6C6480,682
C4⋊Dic5.7C6 = C3×C4.Dic10φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.7C6480,683
C4⋊Dic5.8C6 = C3×C10.D8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.8C6480,85
C4⋊Dic5.9C6 = C3×C20.Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.9C6480,86
C4⋊Dic5.10C6 = C3×Q8⋊Dic5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.10C6480,113
C4⋊Dic5.11C6 = C3×C20⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.11C6480,681
C4⋊Dic5.12C6 = C3×Q8×Dic5φ: C6/C3 → C2 ⊆ Out C4⋊Dic5480C4:Dic5.12C6480,738
C4⋊Dic5.13C6 = C12×Dic10φ: trivial image480C4:Dic5.13C6480,661

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁