# Extensions 1→N→G→Q→1 with N=C22 and Q=C5×C4⋊C4

Direct product G=N×Q with N=C22 and Q=C5×C4⋊C4
dρLabelID
C4⋊C4×C2×C10320C4:C4xC2xC10320,1515

Semidirect products G=N:Q with N=C22 and Q=C5×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C221(C5×C4⋊C4) = C5×C23.7Q8φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2:1(C5xC4:C4)320,881
C222(C5×C4⋊C4) = C5×C23.8Q8φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2:2(C5xC4:C4)320,886

Non-split extensions G=N.Q with N=C22 and Q=C5×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C5×C4⋊C4) = C5×C4.9C42φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22804C2^2.1(C5xC4:C4)320,142
C22.2(C5×C4⋊C4) = C5×C4.10C42φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22804C2^2.2(C5xC4:C4)320,143
C22.3(C5×C4⋊C4) = C5×C426C4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C2280C2^2.3(C5xC4:C4)320,144
C22.4(C5×C4⋊C4) = C5×C23.9D4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C2280C2^2.4(C5xC4:C4)320,147
C22.5(C5×C4⋊C4) = C5×C22.C42φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.5(C5xC4:C4)320,148
C22.6(C5×C4⋊C4) = C5×M4(2)⋊4C4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22804C2^2.6(C5xC4:C4)320,149
C22.7(C5×C4⋊C4) = C5×C4⋊M4(2)φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.7(C5xC4:C4)320,924
C22.8(C5×C4⋊C4) = C5×C42.6C22φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.8(C5xC4:C4)320,925
C22.9(C5×C4⋊C4) = C5×C23.25D4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.9(C5xC4:C4)320,928
C22.10(C5×C4⋊C4) = C5×M4(2)⋊C4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.10(C5xC4:C4)320,929
C22.11(C5×C4⋊C4) = C10×C8.C4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.11(C5xC4:C4)320,930
C22.12(C5×C4⋊C4) = C5×M4(2).C4φ: C5×C4⋊C4/C2×C20C2 ⊆ Aut C22804C2^2.12(C5xC4:C4)320,931
C22.13(C5×C4⋊C4) = C5×C82C8central extension (φ=1)320C2^2.13(C5xC4:C4)320,139
C22.14(C5×C4⋊C4) = C5×C81C8central extension (φ=1)320C2^2.14(C5xC4:C4)320,140
C22.15(C5×C4⋊C4) = C5×C22.7C42central extension (φ=1)320C2^2.15(C5xC4:C4)320,141
C22.16(C5×C4⋊C4) = C5×C22.4Q16central extension (φ=1)320C2^2.16(C5xC4:C4)320,145
C22.17(C5×C4⋊C4) = C5×C4.C42central extension (φ=1)160C2^2.17(C5xC4:C4)320,146
C22.18(C5×C4⋊C4) = C10×C2.C42central extension (φ=1)320C2^2.18(C5xC4:C4)320,876
C22.19(C5×C4⋊C4) = C10×C4⋊C8central extension (φ=1)320C2^2.19(C5xC4:C4)320,923
C22.20(C5×C4⋊C4) = C10×C4.Q8central extension (φ=1)320C2^2.20(C5xC4:C4)320,926
C22.21(C5×C4⋊C4) = C10×C2.D8central extension (φ=1)320C2^2.21(C5xC4:C4)320,927

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