Extensions 1→N→G→Q→1 with N=C22 and Q=C5⋊S4

Direct product G=N×Q with N=C22 and Q=C5⋊S4

Semidirect products G=N:Q with N=C22 and Q=C5⋊S4
extensionφ:Q→Aut NdρLabelID
C22⋊(C5⋊S4) = C244D15φ: C5⋊S4/C2×C10S3 ⊆ Aut C22406C2^2:(C5:S4)480,1201
C222(C5⋊S4) = C242D15φ: C5⋊S4/C5×A4C2 ⊆ Aut C22606C2^2:2(C5:S4)480,1034

Non-split extensions G=N.Q with N=C22 and Q=C5⋊S4
extensionφ:Q→Aut NdρLabelID
C22.(C5⋊S4) = C42⋊D15φ: C5⋊S4/C2×C10S3 ⊆ Aut C22606+C2^2.(C5:S4)480,258
C22.2(C5⋊S4) = Q8.D30φ: C5⋊S4/C5×A4C2 ⊆ Aut C22804C2^2.2(C5:S4)480,1029
C22.3(C5⋊S4) = Q8⋊Dic15central extension (φ=1)160C2^2.3(C5:S4)480,260
C22.4(C5⋊S4) = C2×Q8.D15central extension (φ=1)160C2^2.4(C5:S4)480,1027
C22.5(C5⋊S4) = C2×Q8⋊D15central extension (φ=1)80C2^2.5(C5:S4)480,1028
C22.6(C5⋊S4) = C2×A4⋊Dic5central extension (φ=1)120C2^2.6(C5:S4)480,1033