Extensions 1→N→G→Q→1 with N=C2 and Q=C4xC7:D4

Direct product G=NxQ with N=C2 and Q=C4xC7:D4
dρLabelID
C2xC4xC7:D4224C2xC4xC7:D4448,1241


Non-split extensions G=N.Q with N=C2 and Q=C4xC7:D4
extensionφ:Q→Aut NdρLabelID
C2.1(C4xC7:D4) = C4xDic7:C4central extension (φ=1)448C2.1(C4xC7:D4)448,465
C2.2(C4xC7:D4) = C4xD14:C4central extension (φ=1)224C2.2(C4xC7:D4)448,472
C2.3(C4xC7:D4) = C8xC7:D4central extension (φ=1)224C2.3(C4xC7:D4)448,643
C2.4(C4xC7:D4) = C4xC23.D7central extension (φ=1)224C2.4(C4xC7:D4)448,743
C2.5(C4xC7:D4) = (C2xC42).D7central stem extension (φ=1)448C2.5(C4xC7:D4)448,467
C2.6(C4xC7:D4) = (C2xC42):D7central stem extension (φ=1)224C2.6(C4xC7:D4)448,474
C2.7(C4xC7:D4) = C24.3D14central stem extension (φ=1)224C2.7(C4xC7:D4)448,478
C2.8(C4xC7:D4) = C24.4D14central stem extension (φ=1)224C2.8(C4xC7:D4)448,479
C2.9(C4xC7:D4) = C24.12D14central stem extension (φ=1)224C2.9(C4xC7:D4)448,490
C2.10(C4xC7:D4) = C24.13D14central stem extension (φ=1)224C2.10(C4xC7:D4)448,491
C2.11(C4xC7:D4) = Dic7:(C4:C4)central stem extension (φ=1)448C2.11(C4xC7:D4)448,506
C2.12(C4xC7:D4) = C22.23(Q8xD7)central stem extension (φ=1)448C2.12(C4xC7:D4)448,512
C2.13(C4xC7:D4) = D14:C4:6C4central stem extension (φ=1)224C2.13(C4xC7:D4)448,523
C2.14(C4xC7:D4) = D14:C4:7C4central stem extension (φ=1)224C2.14(C4xC7:D4)448,524
C2.15(C4xC7:D4) = C4xD4:D7central stem extension (φ=1)224C2.15(C4xC7:D4)448,547
C2.16(C4xC7:D4) = C42.48D14central stem extension (φ=1)224C2.16(C4xC7:D4)448,548
C2.17(C4xC7:D4) = C4xD4.D7central stem extension (φ=1)224C2.17(C4xC7:D4)448,551
C2.18(C4xC7:D4) = C42.51D14central stem extension (φ=1)224C2.18(C4xC7:D4)448,552
C2.19(C4xC7:D4) = C4xQ8:D7central stem extension (φ=1)224C2.19(C4xC7:D4)448,559
C2.20(C4xC7:D4) = C42.56D14central stem extension (φ=1)224C2.20(C4xC7:D4)448,560
C2.21(C4xC7:D4) = C4xC7:Q16central stem extension (φ=1)448C2.21(C4xC7:D4)448,563
C2.22(C4xC7:D4) = C42.59D14central stem extension (φ=1)448C2.22(C4xC7:D4)448,564
C2.23(C4xC7:D4) = C56:32D4central stem extension (φ=1)224C2.23(C4xC7:D4)448,645
C2.24(C4xC7:D4) = C56:D4central stem extension (φ=1)224C2.24(C4xC7:D4)448,661
C2.25(C4xC7:D4) = C56:18D4central stem extension (φ=1)224C2.25(C4xC7:D4)448,662
C2.26(C4xC7:D4) = C56.93D4central stem extension (φ=1)1124C2.26(C4xC7:D4)448,678
C2.27(C4xC7:D4) = C56.50D4central stem extension (φ=1)1124C2.27(C4xC7:D4)448,679
C2.28(C4xC7:D4) = C24.62D14central stem extension (φ=1)224C2.28(C4xC7:D4)448,744
C2.29(C4xC7:D4) = C23.28D28central stem extension (φ=1)224C2.29(C4xC7:D4)448,747

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