Extensions 1→N→G→Q→1 with N=C4 and Q=S5

Direct product G=N×Q with N=C4 and Q=S5
dρLabelID
C4×S5204C4xS5480,943

Semidirect products G=N:Q with N=C4 and Q=S5
extensionφ:Q→Aut NdρLabelID
C4⋊S5 = C4⋊S5φ: S5/A5C2 ⊆ Aut C4206C4:S5480,944

Non-split extensions G=N.Q with N=C4 and Q=S5
extensionφ:Q→Aut NdρLabelID
C4.1S5 = A5⋊Q8φ: S5/A5C2 ⊆ Aut C4246C4.1S5480,945
C4.2S5 = C4.S5φ: S5/A5C2 ⊆ Aut C4484C4.2S5480,947
C4.3S5 = C4.3S5φ: S5/A5C2 ⊆ Aut C4404C4.3S5480,948
C4.4S5 = A5⋊C8central extension (φ=1)404C4.4S5480,217
C4.5S5 = GL2(𝔽5)central extension (φ=1)244C4.5S5480,218
C4.6S5 = C4.6S5central extension (φ=1)484C4.6S5480,946

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