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Extensions 1→N→G→Q→1 with N=C2 and Q=C6×C5⋊D4

Direct product G=N×Q with N=C2 and Q=C6×C5⋊D4
dρLabelID
C2×C6×C5⋊D4240C2xC6xC5:D4480,1149


Non-split extensions G=N.Q with N=C2 and Q=C6×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C6×C5⋊D4) = C6×C10.D4central extension (φ=1)480C2.1(C6xC5:D4)480,716
C2.2(C6×C5⋊D4) = C6×D10⋊C4central extension (φ=1)240C2.2(C6xC5:D4)480,720
C2.3(C6×C5⋊D4) = C12×C5⋊D4central extension (φ=1)240C2.3(C6xC5:D4)480,721
C2.4(C6×C5⋊D4) = C6×C23.D5central extension (φ=1)240C2.4(C6xC5:D4)480,745
C2.5(C6×C5⋊D4) = C3×C20.48D4central stem extension (φ=1)240C2.5(C6xC5:D4)480,717
C2.6(C6×C5⋊D4) = C3×C23.23D10central stem extension (φ=1)240C2.6(C6xC5:D4)480,722
C2.7(C6×C5⋊D4) = C3×C20⋊7D4central stem extension (φ=1)240C2.7(C6xC5:D4)480,723
C2.8(C6×C5⋊D4) = C6×D4⋊D5central stem extension (φ=1)240C2.8(C6xC5:D4)480,724
C2.9(C6×C5⋊D4) = C3×D4.D10central stem extension (φ=1)1204C2.9(C6xC5:D4)480,725
C2.10(C6×C5⋊D4) = C6×D4.D5central stem extension (φ=1)240C2.10(C6xC5:D4)480,726
C2.11(C6×C5⋊D4) = C3×C23.18D10central stem extension (φ=1)240C2.11(C6xC5:D4)480,728
C2.12(C6×C5⋊D4) = C3×C20.17D4central stem extension (φ=1)240C2.12(C6xC5:D4)480,729
C2.13(C6×C5⋊D4) = C3×C23⋊D10central stem extension (φ=1)120C2.13(C6xC5:D4)480,730
C2.14(C6×C5⋊D4) = C3×C20⋊2D4central stem extension (φ=1)240C2.14(C6xC5:D4)480,731
C2.15(C6×C5⋊D4) = C3×Dic5⋊D4central stem extension (φ=1)240C2.15(C6xC5:D4)480,732
C2.16(C6×C5⋊D4) = C3×C20⋊D4central stem extension (φ=1)240C2.16(C6xC5:D4)480,733
C2.17(C6×C5⋊D4) = C6×Q8⋊D5central stem extension (φ=1)240C2.17(C6xC5:D4)480,734
C2.18(C6×C5⋊D4) = C3×C20.C23central stem extension (φ=1)2404C2.18(C6xC5:D4)480,735
C2.19(C6×C5⋊D4) = C6×C5⋊Q16central stem extension (φ=1)480C2.19(C6xC5:D4)480,736
C2.20(C6×C5⋊D4) = C3×Dic5⋊Q8central stem extension (φ=1)480C2.20(C6xC5:D4)480,737
C2.21(C6×C5⋊D4) = C3×D10⋊3Q8central stem extension (φ=1)240C2.21(C6xC5:D4)480,739
C2.22(C6×C5⋊D4) = C3×C20.23D4central stem extension (φ=1)240C2.22(C6xC5:D4)480,740
C2.23(C6×C5⋊D4) = C3×D4⋊D10central stem extension (φ=1)1204C2.23(C6xC5:D4)480,742
C2.24(C6×C5⋊D4) = C3×D4.8D10central stem extension (φ=1)2404C2.24(C6xC5:D4)480,743
C2.25(C6×C5⋊D4) = C3×D4.9D10central stem extension (φ=1)2404C2.25(C6xC5:D4)480,744
C2.26(C6×C5⋊D4) = C3×C24⋊2D5central stem extension (φ=1)120C2.26(C6xC5:D4)480,746

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