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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.67C23

Direct product G=N×Q with N=C2 and Q=C23.67C23
dρLabelID
C2×C23.67C23128C2xC2^3.67C2^3128,1026


Non-split extensions G=N.Q with N=C2 and Q=C23.67C23
extensionφ:Q→Aut NdρLabelID
C2.1(C23.67C23) = C24.625C23central extension (φ=1)128C2.1(C2^3.67C2^3)128,167
C2.2(C23.67C23) = C24.626C23central extension (φ=1)128C2.2(C2^3.67C2^3)128,168
C2.3(C23.67C23) = C42.327D4central extension (φ=1)128C2.3(C2^3.67C2^3)128,716
C2.4(C23.67C23) = C24.631C23central stem extension (φ=1)128C2.4(C2^3.67C2^3)128,173
C2.5(C23.67C23) = C24.635C23central stem extension (φ=1)128C2.5(C2^3.67C2^3)128,177
C2.6(C23.67C23) = C24.636C23central stem extension (φ=1)128C2.6(C2^3.67C2^3)128,178
C2.7(C23.67C23) = C42.120D4central stem extension (φ=1)128C2.7(C2^3.67C2^3)128,717
C2.8(C23.67C23) = M4(2)⋊7Q8central stem extension (φ=1)32C2.8(C2^3.67C2^3)128,718
C2.9(C23.67C23) = C42.121D4central stem extension (φ=1)128C2.9(C2^3.67C2^3)128,719
C2.10(C23.67C23) = C42.122D4central stem extension (φ=1)128C2.10(C2^3.67C2^3)128,720
C2.11(C23.67C23) = C42.123D4central stem extension (φ=1)128C2.11(C2^3.67C2^3)128,721
C2.12(C23.67C23) = C42.436D4central stem extension (φ=1)128C2.12(C2^3.67C2^3)128,722
C2.13(C23.67C23) = C42.437D4central stem extension (φ=1)128C2.13(C2^3.67C2^3)128,723
C2.14(C23.67C23) = C42.124D4central stem extension (φ=1)128C2.14(C2^3.67C2^3)128,724
C2.15(C23.67C23) = C42.125D4central stem extension (φ=1)128C2.15(C2^3.67C2^3)128,725
C2.16(C23.67C23) = C42⋊16Q8central stem extension (φ=1)32C2.16(C2^3.67C2^3)128,726
C2.17(C23.67C23) = C42⋊Q8central stem extension (φ=1)32C2.17(C2^3.67C2^3)128,727
C2.18(C23.67C23) = C24.176C23central stem extension (φ=1)32C2.18(C2^3.67C2^3)128,728
C2.19(C23.67C23) = M4(2)⋊8Q8central stem extension (φ=1)64C2.19(C2^3.67C2^3)128,729
C2.20(C23.67C23) = C42.128D4central stem extension (φ=1)64C2.20(C2^3.67C2^3)128,730

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