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

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


Non-split extensions G=N.Q with N=C2 and Q=D56⋊C2
extensionφ:Q→Aut NdρLabelID
C2.1(D56⋊C2) = (D4×D7)⋊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⋊(C4×D7)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⋊(C4×D7)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) = (C7×D4).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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