# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C5⋊D5

Direct product G=N×Q with N=C22 and Q=C2×C5⋊D5
dρLabelID
C23×C5⋊D5200C2^3xC5:D5400,220

Semidirect products G=N:Q with N=C22 and Q=C2×C5⋊D5
extensionφ:Q→Aut NdρLabelID
C221(C2×C5⋊D5) = D4×C5⋊D5φ: C2×C5⋊D5/C5⋊D5C2 ⊆ Aut C22100C2^2:1(C2xC5:D5)400,195
C222(C2×C5⋊D5) = C2×C527D4φ: C2×C5⋊D5/C5×C10C2 ⊆ Aut C22200C2^2:2(C2xC5:D5)400,200

Non-split extensions G=N.Q with N=C22 and Q=C2×C5⋊D5
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C5⋊D5) = C20.D10φ: C2×C5⋊D5/C5⋊D5C2 ⊆ Aut C22200C2^2.1(C2xC5:D5)400,196
C22.2(C2×C5⋊D5) = C20.50D10φ: C2×C5⋊D5/C5×C10C2 ⊆ Aut C22200C2^2.2(C2xC5:D5)400,194
C22.3(C2×C5⋊D5) = C4×C526C4central extension (φ=1)400C2^2.3(C2xC5:D5)400,99
C22.4(C2×C5⋊D5) = C102.22C22central extension (φ=1)400C2^2.4(C2xC5:D5)400,100
C22.5(C2×C5⋊D5) = C203Dic5central extension (φ=1)400C2^2.5(C2xC5:D5)400,101
C22.6(C2×C5⋊D5) = C10.11D20central extension (φ=1)200C2^2.6(C2xC5:D5)400,102
C22.7(C2×C5⋊D5) = C10211C4central extension (φ=1)200C2^2.7(C2xC5:D5)400,107
C22.8(C2×C5⋊D5) = C2×C524Q8central extension (φ=1)400C2^2.8(C2xC5:D5)400,191
C22.9(C2×C5⋊D5) = C2×C4×C5⋊D5central extension (φ=1)200C2^2.9(C2xC5:D5)400,192
C22.10(C2×C5⋊D5) = C2×C20⋊D5central extension (φ=1)200C2^2.10(C2xC5:D5)400,193
C22.11(C2×C5⋊D5) = C22×C526C4central extension (φ=1)400C2^2.11(C2xC5:D5)400,199

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