# Extensions 1→N→G→Q→1 with N=C20 and Q=C3⋊C8

Direct product G=N×Q with N=C20 and Q=C3⋊C8
dρLabelID
C20×C3⋊C8480C20xC3:C8480,121

Semidirect products G=N:Q with N=C20 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
C201(C3⋊C8) = C60⋊C8φ: C3⋊C8/C6C4 ⊆ Aut C20480C20:1(C3:C8)480,306
C202(C3⋊C8) = C4×C15⋊C8φ: C3⋊C8/C6C4 ⊆ Aut C20480C20:2(C3:C8)480,305
C203(C3⋊C8) = C605C8φ: C3⋊C8/C12C2 ⊆ Aut C20480C20:3(C3:C8)480,164
C204(C3⋊C8) = C4×C153C8φ: C3⋊C8/C12C2 ⊆ Aut C20480C20:4(C3:C8)480,162
C205(C3⋊C8) = C5×C12⋊C8φ: C3⋊C8/C12C2 ⊆ Aut C20480C20:5(C3:C8)480,123

Non-split extensions G=N.Q with N=C20 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
C20.1(C3⋊C8) = C60.C8φ: C3⋊C8/C6C4 ⊆ Aut C202404C20.1(C3:C8)480,303
C20.2(C3⋊C8) = C15⋊C32φ: C3⋊C8/C6C4 ⊆ Aut C204804C20.2(C3:C8)480,6
C20.3(C3⋊C8) = C2×C15⋊C16φ: C3⋊C8/C6C4 ⊆ Aut C20480C20.3(C3:C8)480,302
C20.4(C3⋊C8) = C60.7C8φ: C3⋊C8/C12C2 ⊆ Aut C202402C20.4(C3:C8)480,172
C20.5(C3⋊C8) = C153C32φ: C3⋊C8/C12C2 ⊆ Aut C204802C20.5(C3:C8)480,3
C20.6(C3⋊C8) = C2×C153C16φ: C3⋊C8/C12C2 ⊆ Aut C20480C20.6(C3:C8)480,171
C20.7(C3⋊C8) = C5×C12.C8φ: C3⋊C8/C12C2 ⊆ Aut C202402C20.7(C3:C8)480,131
C20.8(C3⋊C8) = C5×C3⋊C32central extension (φ=1)4802C20.8(C3:C8)480,1
C20.9(C3⋊C8) = C10×C3⋊C16central extension (φ=1)480C20.9(C3:C8)480,130

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