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Extensions 1→N→G→Q→1 with N=C4 and Q=C2xC13:C4

Direct product G=NxQ with N=C4 and Q=C2xC13:C4
dρLabelID
C2xC4xC13:C4104C2xC4xC13:C4416,202

Semidirect products G=N:Q with N=C4 and Q=C2xC13:C4
extensionφ:Q→Aut NdρLabelID
C4:1(C2xC13:C4) = D4xC13:C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C4528+C4:1(C2xC13:C4)416,206
C4:2(C2xC13:C4) = C2xC52:C4φ: C2xC13:C4/D26 → C2 ⊆ Aut C4104C4:2(C2xC13:C4)416,203

Non-split extensions G=N.Q with N=C4 and Q=C2xC13:C4
extensionφ:Q→Aut NdρLabelID
C4.1(C2xC13:C4) = D52:1C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C41048+C4.1(C2xC13:C4)416,82
C4.2(C2xC13:C4) = Dic26:C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C41048-C4.2(C2xC13:C4)416,83
C4.3(C2xC13:C4) = D13.Q16φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C41048-C4.3(C2xC13:C4)416,84
C4.4(C2xC13:C4) = D52:C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C41048+C4.4(C2xC13:C4)416,85
C4.5(C2xC13:C4) = Dic26.C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C42088-C4.5(C2xC13:C4)416,205
C4.6(C2xC13:C4) = D52.C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C42088+C4.6(C2xC13:C4)416,207
C4.7(C2xC13:C4) = Q8xC13:C4φ: C2xC13:C4/C13:C4 → C2 ⊆ Aut C41048-C4.7(C2xC13:C4)416,208
C4.8(C2xC13:C4) = D26.8D4φ: C2xC13:C4/D26 → C2 ⊆ Aut C41044C4.8(C2xC13:C4)416,68
C4.9(C2xC13:C4) = D13.D8φ: C2xC13:C4/D26 → C2 ⊆ Aut C41044C4.9(C2xC13:C4)416,69
C4.10(C2xC13:C4) = C104.C4φ: C2xC13:C4/D26 → C2 ⊆ Aut C42084C4.10(C2xC13:C4)416,70
C4.11(C2xC13:C4) = C104.1C4φ: C2xC13:C4/D26 → C2 ⊆ Aut C42084C4.11(C2xC13:C4)416,71
C4.12(C2xC13:C4) = C2xC52.C4φ: C2xC13:C4/D26 → C2 ⊆ Aut C4208C4.12(C2xC13:C4)416,200
C4.13(C2xC13:C4) = D26.C23φ: C2xC13:C4/D26 → C2 ⊆ Aut C41044C4.13(C2xC13:C4)416,204
C4.14(C2xC13:C4) = D13:C16central extension (φ=1)2084C4.14(C2xC13:C4)416,64
C4.15(C2xC13:C4) = D26.C8central extension (φ=1)2084C4.15(C2xC13:C4)416,65
C4.16(C2xC13:C4) = C8xC13:C4central extension (φ=1)1044C4.16(C2xC13:C4)416,66
C4.17(C2xC13:C4) = C104:C4central extension (φ=1)1044C4.17(C2xC13:C4)416,67
C4.18(C2xC13:C4) = C2xC13:C16central extension (φ=1)416C4.18(C2xC13:C4)416,72
C4.19(C2xC13:C4) = C52.C8central extension (φ=1)2084C4.19(C2xC13:C4)416,73
C4.20(C2xC13:C4) = C2xD13:C8central extension (φ=1)208C4.20(C2xC13:C4)416,199
C4.21(C2xC13:C4) = D13:M4(2)central extension (φ=1)1044C4.21(C2xC13:C4)416,201

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