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

Extensions 1→N→G→Q→1 with N=D60⋊C2 and Q=C2

Direct product G=N×Q with N=D60⋊C2 and Q=C2
dρLabelID
C2×D60⋊C2240C2xD60:C2480,1081

Semidirect products G=N:Q with N=D60⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D60⋊C2⋊1C2 = C60.19C23φ: C2/C1 → C2 ⊆ Out D60⋊C22408+D60:C2:1C2480,571
D60⋊C2⋊2C2 = D12.9D10φ: C2/C1 → C2 ⊆ Out D60⋊C21208+D60:C2:2C2480,572
D60⋊C2⋊3C2 = Dic10.27D6φ: C2/C1 → C2 ⊆ Out D60⋊C22408+D60:C2:3C2480,595
D60⋊C2⋊4C2 = D30.C23φ: C2/C1 → C2 ⊆ Out D60⋊C21208+D60:C2:4C2480,1100
D60⋊C2⋊5C2 = D12⋊14D10φ: C2/C1 → C2 ⊆ Out D60⋊C21208+D60:C2:5C2480,1103
D60⋊C2⋊6C2 = C30.33C24φ: C2/C1 → C2 ⊆ Out D60⋊C22408+D60:C2:6C2480,1105
D60⋊C2⋊7C2 = D5×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out D60⋊C21208+D60:C2:7C2480,1108
D60⋊C2⋊8C2 = C40⋊1D6φ: C2/C1 → C2 ⊆ Out D60⋊C21204+D60:C2:8C2480,329
D60⋊C2⋊9C2 = D6.1D20φ: C2/C1 → C2 ⊆ Out D60⋊C22404D60:C2:9C2480,348
D60⋊C2⋊10C2 = D120⋊5C2φ: C2/C1 → C2 ⊆ Out D60⋊C22404+D60:C2:10C2480,351
D60⋊C2⋊11C2 = C30.C24φ: C2/C1 → C2 ⊆ Out D60⋊C22404D60:C2:11C2480,1080
D60⋊C2⋊12C2 = D20⋊29D6φ: C2/C1 → C2 ⊆ Out D60⋊C21204+D60:C2:12C2480,1095
D60⋊C2⋊13C2 = S3×C4○D20φ: trivial image1204D60:C2:13C2480,1091

Non-split extensions G=N.Q with N=D60⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D60⋊C2.1C2 = C60.44C23φ: C2/C1 → C2 ⊆ Out D60⋊C22408+D60:C2.1C2480,596
D60⋊C2.2C2 = Dic20⋊S3φ: C2/C1 → C2 ⊆ Out D60⋊C22404D60:C2.2C2480,339

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁