Extensions 1→N→G→Q→1 with N=C60.C4 and Q=C2

Direct product G=N×Q with N=C60.C4 and Q=C2
dρLabelID
C2×C60.C4240C2xC60.C4480,1060

Semidirect products G=N:Q with N=C60.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60.C41C2 = D60⋊C4φ: C2/C1C2 ⊆ Out C60.C41208+C60.C4:1C2480,227
C60.C42C2 = D12.F5φ: C2/C1C2 ⊆ Out C60.C42408-C60.C4:2C2480,989
C60.C43C2 = Dic6.F5φ: C2/C1C2 ⊆ Out C60.C42408+C60.C4:3C2480,992
C60.C44C2 = S3×D5⋊C8φ: C2/C1C2 ⊆ Out C60.C41208C60.C4:4C2480,986
C60.C45C2 = C5⋊C8⋊D6φ: C2/C1C2 ⊆ Out C60.C41208C60.C4:5C2480,993
C60.C46C2 = D20⋊Dic3φ: C2/C1C2 ⊆ Out C60.C41208C60.C4:6C2480,312
C60.C47C2 = Dic10.Dic3φ: C2/C1C2 ⊆ Out C60.C42408C60.C4:7C2480,1066
C60.C48C2 = D20.Dic3φ: C2/C1C2 ⊆ Out C60.C42408C60.C4:8C2480,1068
C60.C49C2 = C60.59(C2×C4)φ: C2/C1C2 ⊆ Out C60.C41204C60.C4:9C2480,1062

Non-split extensions G=N.Q with N=C60.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60.C4.1C2 = Dic6⋊F5φ: C2/C1C2 ⊆ Out C60.C41208-C60.C4.1C2480,229
C60.C4.2C2 = F5×C3⋊C8φ: C2/C1C2 ⊆ Out C60.C41208C60.C4.2C2480,223
C60.C4.3C2 = C30.3C42φ: C2/C1C2 ⊆ Out C60.C41208C60.C4.3C2480,225
C60.C4.4C2 = Dic102Dic3φ: C2/C1C2 ⊆ Out C60.C41208C60.C4.4C2480,314
C60.C4.5C2 = C24⋊F5φ: C2/C1C2 ⊆ Out C60.C41204C60.C4.5C2480,297
C60.C4.6C2 = C8×C3⋊F5φ: trivial image1204C60.C4.6C2480,296

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