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Extensions 1→N→G→Q→1 with N=C26 and Q=C4:C4

Direct product G=NxQ with N=C26 and Q=C4:C4
dρLabelID
C4:C4xC26416C4:C4xC26416,177

Semidirect products G=N:Q with N=C26 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C26:(C4:C4) = C2xC52:C4φ: C4:C4/C4 → C4 ⊆ Aut C26104C26:(C4:C4)416,203
C26:2(C4:C4) = C2xC26.D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26:2(C4:C4)416,144
C26:3(C4:C4) = C2xC52:3C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26:3(C4:C4)416,146

Non-split extensions G=N.Q with N=C26 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C26.1(C4:C4) = D26.8D4φ: C4:C4/C4 → C4 ⊆ Aut C261044C26.1(C4:C4)416,68
C26.2(C4:C4) = D13.D8φ: C4:C4/C4 → C4 ⊆ Aut C261044C26.2(C4:C4)416,69
C26.3(C4:C4) = C104.C4φ: C4:C4/C4 → C4 ⊆ Aut C262084C26.3(C4:C4)416,70
C26.4(C4:C4) = C104.1C4φ: C4:C4/C4 → C4 ⊆ Aut C262084C26.4(C4:C4)416,71
C26.5(C4:C4) = C52:C8φ: C4:C4/C4 → C4 ⊆ Aut C26416C26.5(C4:C4)416,76
C26.6(C4:C4) = Dic13:C8φ: C4:C4/C4 → C4 ⊆ Aut C26416C26.6(C4:C4)416,79
C26.7(C4:C4) = D26.Q8φ: C4:C4/C4 → C4 ⊆ Aut C26104C26.7(C4:C4)416,81
C26.8(C4:C4) = C52:3C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.8(C4:C4)416,11
C26.9(C4:C4) = C26.D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.9(C4:C4)416,14
C26.10(C4:C4) = C52.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.10(C4:C4)416,15
C26.11(C4:C4) = C52.8Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.11(C4:C4)416,21
C26.12(C4:C4) = C104:6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.12(C4:C4)416,24
C26.13(C4:C4) = C104:5C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.13(C4:C4)416,25
C26.14(C4:C4) = C104.6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C262082C26.14(C4:C4)416,26
C26.15(C4:C4) = C52.53D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C262084C26.15(C4:C4)416,29
C26.16(C4:C4) = C26.10C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C26416C26.16(C4:C4)416,38
C26.17(C4:C4) = C13xC2.C42central extension (φ=1)416C26.17(C4:C4)416,45
C26.18(C4:C4) = C13xC4:C8central extension (φ=1)416C26.18(C4:C4)416,55
C26.19(C4:C4) = C13xC4.Q8central extension (φ=1)416C26.19(C4:C4)416,56
C26.20(C4:C4) = C13xC2.D8central extension (φ=1)416C26.20(C4:C4)416,57
C26.21(C4:C4) = C13xC8.C4central extension (φ=1)2082C26.21(C4:C4)416,58

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