Extensions 1→N→G→Q→1 with N=C2 and Q=C2xC23.D7

Direct product G=NxQ with N=C2 and Q=C2xC23.D7
dρLabelID
C22xC23.D7224C2^2xC2^3.D7448,1292


Non-split extensions G=N.Q with N=C2 and Q=C2xC23.D7
extensionφ:Q→Aut NdρLabelID
C2.1(C2xC23.D7) = C2xC28.55D4central extension (φ=1)224C2.1(C2xC2^3.D7)448,740
C2.2(C2xC23.D7) = C2xC14.C42central extension (φ=1)448C2.2(C2xC2^3.D7)448,742
C2.3(C2xC23.D7) = C4xC23.D7central extension (φ=1)224C2.3(C2xC2^3.D7)448,743
C2.4(C2xC23.D7) = C24.4Dic7central stem extension (φ=1)112C2.4(C2xC2^3.D7)448,741
C2.5(C2xC23.D7) = C24.63D14central stem extension (φ=1)224C2.5(C2xC2^3.D7)448,745
C2.6(C2xC23.D7) = C23.27D28central stem extension (φ=1)224C2.6(C2xC2^3.D7)448,746
C2.7(C2xC23.D7) = C2xD4:Dic7central stem extension (φ=1)224C2.7(C2xC2^3.D7)448,748
C2.8(C2xC23.D7) = (D4xC14):6C4central stem extension (φ=1)112C2.8(C2xC2^3.D7)448,749
C2.9(C2xC23.D7) = C2xC28.D4central stem extension (φ=1)112C2.9(C2xC2^3.D7)448,750
C2.10(C2xC23.D7) = C2xC23:Dic7central stem extension (φ=1)112C2.10(C2xC2^3.D7)448,753
C2.11(C2xC23.D7) = C24.18D14central stem extension (φ=1)224C2.11(C2xC2^3.D7)448,754
C2.12(C2xC23.D7) = C24.19D14central stem extension (φ=1)224C2.12(C2xC2^3.D7)448,755
C2.13(C2xC23.D7) = C2xQ8:Dic7central stem extension (φ=1)448C2.13(C2xC2^3.D7)448,758
C2.14(C2xC23.D7) = (Q8xC14):6C4central stem extension (φ=1)224C2.14(C2xC2^3.D7)448,759
C2.15(C2xC23.D7) = C2xC28.10D4central stem extension (φ=1)224C2.15(C2xC2^3.D7)448,760
C2.16(C2xC23.D7) = (Q8xC14):7C4central stem extension (φ=1)448C2.16(C2xC2^3.D7)448,764
C2.17(C2xC23.D7) = C4oD4:Dic7central stem extension (φ=1)224C2.17(C2xC2^3.D7)448,766
C2.18(C2xC23.D7) = C28.(C2xD4)central stem extension (φ=1)224C2.18(C2xC2^3.D7)448,767
C2.19(C2xC23.D7) = (D4xC14).11C4central stem extension (φ=1)224C2.19(C2xC2^3.D7)448,768
C2.20(C2xC23.D7) = C2xD4:2Dic7central stem extension (φ=1)112C2.20(C2xC2^3.D7)448,769
C2.21(C2xC23.D7) = (D4xC14):9C4central stem extension (φ=1)1124C2.21(C2xC2^3.D7)448,770
C2.22(C2xC23.D7) = (D4xC14).16C4central stem extension (φ=1)1124C2.22(C2xC2^3.D7)448,771
C2.23(C2xC23.D7) = (D4xC14):10C4central stem extension (φ=1)1124C2.23(C2xC2^3.D7)448,774
C2.24(C2xC23.D7) = C25.D7central stem extension (φ=1)112C2.24(C2xC2^3.D7)448,781

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