Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C2×C10

Direct product G=N×Q with N=C2 and Q=D5×C2×C10
dρLabelID
D5×C22×C1080D5xC2^2xC10400,219


Non-split extensions G=N.Q with N=C2 and Q=D5×C2×C10
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C2×C10) = D5×C2×C20central extension (φ=1)80C2.1(D5xC2xC10)400,182
C2.2(D5×C2×C10) = Dic5×C2×C10central extension (φ=1)80C2.2(D5xC2xC10)400,189
C2.3(D5×C2×C10) = C10×Dic10central stem extension (φ=1)80C2.3(D5xC2xC10)400,181
C2.4(D5×C2×C10) = C10×D20central stem extension (φ=1)80C2.4(D5xC2xC10)400,183
C2.5(D5×C2×C10) = C5×C4○D20central stem extension (φ=1)402C2.5(D5xC2xC10)400,184
C2.6(D5×C2×C10) = C5×D4×D5central stem extension (φ=1)404C2.6(D5xC2xC10)400,185
C2.7(D5×C2×C10) = C5×D42D5central stem extension (φ=1)404C2.7(D5xC2xC10)400,186
C2.8(D5×C2×C10) = C5×Q8×D5central stem extension (φ=1)804C2.8(D5xC2xC10)400,187
C2.9(D5×C2×C10) = C5×Q82D5central stem extension (φ=1)804C2.9(D5xC2xC10)400,188
C2.10(D5×C2×C10) = C10×C5⋊D4central stem extension (φ=1)40C2.10(D5xC2xC10)400,190

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