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Extensions 1→N→G→Q→1 with N=D60 and Q=C4

Direct product G=N×Q with N=D60 and Q=C4
dρLabelID
C4×D60240C4xD60480,838

Semidirect products G=N:Q with N=D60 and Q=C4
extensionφ:Q→Out NdρLabelID
D60⋊1C4 = D60⋊C4φ: C4/C1 → C4 ⊆ Out D601208+D60:1C4480,227
D60⋊2C4 = D60⋊2C4φ: C4/C1 → C4 ⊆ Out D601208+D60:2C4480,233
D60⋊3C4 = D60⋊3C4φ: C4/C1 → C4 ⊆ Out D60608+D60:3C4480,997
D60⋊4C4 = D12⋊F5φ: C4/C1 → C4 ⊆ Out D601208+D60:4C4480,228
D60⋊5C4 = D60⋊5C4φ: C4/C1 → C4 ⊆ Out D601208+D60:5C4480,234
D60⋊6C4 = F5×D12φ: C4/C1 → C4 ⊆ Out D60608+D60:6C4480,995
D60⋊7C4 = D60⋊7C4φ: C4/C2 → C2 ⊆ Out D601202D60:7C4480,165
D60⋊8C4 = D60⋊8C4φ: C4/C2 → C2 ⊆ Out D60240D60:8C4480,181
D60⋊9C4 = D60⋊9C4φ: C4/C2 → C2 ⊆ Out D60240D60:9C4480,169
D60⋊10C4 = D60⋊10C4φ: C4/C2 → C2 ⊆ Out D601204D60:10C4480,185
D60⋊11C4 = D60⋊11C4φ: C4/C2 → C2 ⊆ Out D60240D60:11C4480,858
D60⋊12C4 = D60⋊12C4φ: C4/C2 → C2 ⊆ Out D60240D60:12C4480,44
D60⋊13C4 = D60⋊13C4φ: C4/C2 → C2 ⊆ Out D601204D60:13C4480,56
D60⋊14C4 = D60⋊14C4φ: C4/C2 → C2 ⊆ Out D60240D60:14C4480,504
D60⋊15C4 = D60⋊15C4φ: C4/C2 → C2 ⊆ Out D60240D60:15C4480,45
D60⋊16C4 = D60⋊16C4φ: C4/C2 → C2 ⊆ Out D601204D60:16C4480,57
D60⋊17C4 = D60⋊17C4φ: C4/C2 → C2 ⊆ Out D60240D60:17C4480,494

Non-split extensions G=N.Q with N=D60 and Q=C4
extensionφ:Q→Out NdρLabelID
D60.1C4 = Dic6.F5φ: C4/C1 → C4 ⊆ Out D602408+D60.1C4480,992
D60.2C4 = D60.C4φ: C4/C1 → C4 ⊆ Out D602408+D60.2C4480,990
D60.3C4 = D60.3C4φ: C4/C2 → C2 ⊆ Out D602404D60.3C4480,872
D60.4C4 = D60.4C4φ: C4/C2 → C2 ⊆ Out D602404D60.4C4480,367
D60.5C4 = D60.5C4φ: C4/C2 → C2 ⊆ Out D602404D60.5C4480,366
D60.6C4 = D60.6C4φ: trivial image2402D60.6C4480,866

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