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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C13⋊C4

Direct product G=N×Q with N=C2×C4 and Q=C13⋊C4
dρLabelID
C2×C4×C13⋊C4104C2xC4xC13:C4416,202

Semidirect products G=N:Q with N=C2×C4 and Q=C13⋊C4
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊(C13⋊C4) = D26.D4φ: C13⋊C4/C13 → C4 ⊆ Aut C2×C41044+(C2xC4):(C13:C4)416,74
(C2×C4)⋊2(C13⋊C4) = D26.Q8φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4104(C2xC4):2(C13:C4)416,81
(C2×C4)⋊3(C13⋊C4) = C2×C52⋊C4φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4104(C2xC4):3(C13:C4)416,203
(C2×C4)⋊4(C13⋊C4) = D26.C23φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C41044(C2xC4):4(C13:C4)416,204

Non-split extensions G=N.Q with N=C2×C4 and Q=C13⋊C4
extensionφ:Q→Aut NdρLabelID
(C2×C4).(C13⋊C4) = Dic13.D4φ: C13⋊C4/C13 → C4 ⊆ Aut C2×C42084-(C2xC4).(C13:C4)416,80
(C2×C4).2(C13⋊C4) = C26.C42φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4416(C2xC4).2(C13:C4)416,77
(C2×C4).3(C13⋊C4) = D26⋊C8φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4208(C2xC4).3(C13:C4)416,78
(C2×C4).4(C13⋊C4) = Dic13⋊C8φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4416(C2xC4).4(C13:C4)416,79
(C2×C4).5(C13⋊C4) = C52.C8φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C42084(C2xC4).5(C13:C4)416,73
(C2×C4).6(C13⋊C4) = C52⋊C8φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4416(C2xC4).6(C13:C4)416,76
(C2×C4).7(C13⋊C4) = C2×C52.C4φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C4208(C2xC4).7(C13:C4)416,200
(C2×C4).8(C13⋊C4) = D13⋊M4(2)φ: C13⋊C4/D13 → C2 ⊆ Aut C2×C41044(C2xC4).8(C13:C4)416,201
(C2×C4).9(C13⋊C4) = C2×C13⋊C16central extension (φ=1)416(C2xC4).9(C13:C4)416,72
(C2×C4).10(C13⋊C4) = C4×C13⋊C8central extension (φ=1)416(C2xC4).10(C13:C4)416,75
(C2×C4).11(C13⋊C4) = C2×D13⋊C8central extension (φ=1)208(C2xC4).11(C13:C4)416,199

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