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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C13⋊C4

Direct product G=N×Q with N=C22 and Q=C2×C13⋊C4
dρLabelID
C23×C13⋊C4104C2^3xC13:C4416,233

Semidirect products G=N:Q with N=C22 and Q=C2×C13⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×C13⋊C4) = D4×C13⋊C4φ: C2×C13⋊C4/C13⋊C4 → C2 ⊆ Aut C22528+C2^2:1(C2xC13:C4)416,206
C22⋊2(C2×C13⋊C4) = C2×D13.D4φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C22104C2^2:2(C2xC13:C4)416,211

Non-split extensions G=N.Q with N=C22 and Q=C2×C13⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C13⋊C4) = Dic26.C4φ: C2×C13⋊C4/C13⋊C4 → C2 ⊆ Aut C222088-C2^2.1(C2xC13:C4)416,205
C22.2(C2×C13⋊C4) = D26.D4φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C221044+C2^2.2(C2xC13:C4)416,74
C22.3(C2×C13⋊C4) = Dic13.D4φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C222084-C2^2.3(C2xC13:C4)416,80
C22.4(C2×C13⋊C4) = D26.4D4φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C221044C2^2.4(C2xC13:C4)416,86
C22.5(C2×C13⋊C4) = Dic13.4D4φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C221044C2^2.5(C2xC13:C4)416,88
C22.6(C2×C13⋊C4) = D13⋊M4(2)φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C221044C2^2.6(C2xC13:C4)416,201
C22.7(C2×C13⋊C4) = D26.C23φ: C2×C13⋊C4/D26 → C2 ⊆ Aut C221044C2^2.7(C2xC13:C4)416,204
C22.8(C2×C13⋊C4) = C4×C13⋊C8central extension (φ=1)416C2^2.8(C2xC13:C4)416,75
C22.9(C2×C13⋊C4) = C52⋊C8central extension (φ=1)416C2^2.9(C2xC13:C4)416,76
C22.10(C2×C13⋊C4) = C26.C42central extension (φ=1)416C2^2.10(C2xC13:C4)416,77
C22.11(C2×C13⋊C4) = D26⋊C8central extension (φ=1)208C2^2.11(C2xC13:C4)416,78
C22.12(C2×C13⋊C4) = Dic13⋊C8central extension (φ=1)416C2^2.12(C2xC13:C4)416,79
C22.13(C2×C13⋊C4) = D26.Q8central extension (φ=1)104C2^2.13(C2xC13:C4)416,81
C22.14(C2×C13⋊C4) = C26.M4(2)central extension (φ=1)208C2^2.14(C2xC13:C4)416,87
C22.15(C2×C13⋊C4) = C2×D13⋊C8central extension (φ=1)208C2^2.15(C2xC13:C4)416,199
C22.16(C2×C13⋊C4) = C2×C52.C4central extension (φ=1)208C2^2.16(C2xC13:C4)416,200
C22.17(C2×C13⋊C4) = C2×C4×C13⋊C4central extension (φ=1)104C2^2.17(C2xC13:C4)416,202
C22.18(C2×C13⋊C4) = C2×C52⋊C4central extension (φ=1)104C2^2.18(C2xC13:C4)416,203
C22.19(C2×C13⋊C4) = C22×C13⋊C8central extension (φ=1)416C2^2.19(C2xC13:C4)416,209
C22.20(C2×C13⋊C4) = C2×C13⋊M4(2)central extension (φ=1)208C2^2.20(C2xC13:C4)416,210

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