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Extensions 1→N→G→Q→1 with N=C2 and Q=D56:C2

Direct product G=NxQ with N=C2 and Q=D56:C2
dρLabelID
C2xD56:C2112C2xD56:C2448,1212


Non-split extensions G=N.Q with N=C2 and Q=D56:C2
extensionφ:Q→Aut NdρLabelID
C2.1(D56:C2) = (D4xD7):C4central extension (φ=1)112C2.1(D56:C2)448,304
C2.2(D56:C2) = D4:D7:C4central extension (φ=1)224C2.2(D56:C2)448,319
C2.3(D56:C2) = Q8:(C4xD7)central extension (φ=1)224C2.3(D56:C2)448,337
C2.4(D56:C2) = Q8:D7:C4central extension (φ=1)224C2.4(D56:C2)448,351
C2.5(D56:C2) = C8:(C4xD7)central extension (φ=1)224C2.5(D56:C2)448,395
C2.6(D56:C2) = D56:9C4central extension (φ=1)224C2.6(D56:C2)448,403
C2.7(D56:C2) = SD16:Dic7central extension (φ=1)224C2.7(D56:C2)448,698
C2.8(D56:C2) = C4:C4.D14central stem extension (φ=1)224C2.8(D56:C2)448,298
C2.9(D56:C2) = D4.2Dic14central stem extension (φ=1)224C2.9(D56:C2)448,300
C2.10(D56:C2) = D4:D28central stem extension (φ=1)112C2.10(D56:C2)448,307
C2.11(D56:C2) = C7:C8:D4central stem extension (φ=1)224C2.11(D56:C2)448,316
C2.12(D56:C2) = C56:1C4:C2central stem extension (φ=1)224C2.12(D56:C2)448,318
C2.13(D56:C2) = D28:3D4central stem extension (φ=1)224C2.13(D56:C2)448,320
C2.14(D56:C2) = Dic7.Q16central stem extension (φ=1)448C2.14(D56:C2)448,328
C2.15(D56:C2) = Q8:C4:D7central stem extension (φ=1)224C2.15(D56:C2)448,329
C2.16(D56:C2) = D14.Q16central stem extension (φ=1)224C2.16(D56:C2)448,343
C2.17(D56:C2) = D28:4D4central stem extension (φ=1)224C2.17(D56:C2)448,345
C2.18(D56:C2) = C7:(C8:D4)central stem extension (φ=1)224C2.18(D56:C2)448,346
C2.19(D56:C2) = D28.12D4central stem extension (φ=1)224C2.19(D56:C2)448,353
C2.20(D56:C2) = C56:3Q8central stem extension (φ=1)448C2.20(D56:C2)448,390
C2.21(D56:C2) = D14.4SD16central stem extension (φ=1)224C2.21(D56:C2)448,397
C2.22(D56:C2) = C56:7D4central stem extension (φ=1)224C2.22(D56:C2)448,399
C2.23(D56:C2) = C4.Q8:D7central stem extension (φ=1)224C2.23(D56:C2)448,400
C2.24(D56:C2) = D28:Q8central stem extension (φ=1)224C2.24(D56:C2)448,404
C2.25(D56:C2) = D28.Q8central stem extension (φ=1)224C2.25(D56:C2)448,405
C2.26(D56:C2) = Dic7:5SD16central stem extension (φ=1)224C2.26(D56:C2)448,697
C2.27(D56:C2) = (C7xD4).D4central stem extension (φ=1)224C2.27(D56:C2)448,699
C2.28(D56:C2) = D14:6SD16central stem extension (φ=1)112C2.28(D56:C2)448,703
C2.29(D56:C2) = D28:7D4central stem extension (φ=1)224C2.29(D56:C2)448,706
C2.30(D56:C2) = C56:8D4central stem extension (φ=1)224C2.30(D56:C2)448,708
C2.31(D56:C2) = C56:9D4central stem extension (φ=1)224C2.31(D56:C2)448,710

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