# Extensions 1→N→G→Q→1 with N=C22 and Q=D5×C10

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

Semidirect products G=N:Q with N=C22 and Q=D5×C10
extensionφ:Q→Aut NdρLabelID
C221(D5×C10) = C5×D4×D5φ: D5×C10/C5×D5C2 ⊆ Aut C22404C2^2:1(D5xC10)400,185
C222(D5×C10) = C10×C5⋊D4φ: D5×C10/C5×C10C2 ⊆ Aut C2240C2^2:2(D5xC10)400,190

Non-split extensions G=N.Q with N=C22 and Q=D5×C10
extensionφ:Q→Aut NdρLabelID
C22.1(D5×C10) = C5×D42D5φ: D5×C10/C5×D5C2 ⊆ Aut C22404C2^2.1(D5xC10)400,186
C22.2(D5×C10) = C5×C4○D20φ: D5×C10/C5×C10C2 ⊆ Aut C22402C2^2.2(D5xC10)400,184
C22.3(D5×C10) = Dic5×C20central extension (φ=1)80C2^2.3(D5xC10)400,83
C22.4(D5×C10) = C5×C10.D4central extension (φ=1)80C2^2.4(D5xC10)400,84
C22.5(D5×C10) = C5×C4⋊Dic5central extension (φ=1)80C2^2.5(D5xC10)400,85
C22.6(D5×C10) = C5×D10⋊C4central extension (φ=1)80C2^2.6(D5xC10)400,86
C22.7(D5×C10) = C5×C23.D5central extension (φ=1)40C2^2.7(D5xC10)400,91
C22.8(D5×C10) = C10×Dic10central extension (φ=1)80C2^2.8(D5xC10)400,181
C22.9(D5×C10) = D5×C2×C20central extension (φ=1)80C2^2.9(D5xC10)400,182
C22.10(D5×C10) = C10×D20central extension (φ=1)80C2^2.10(D5xC10)400,183
C22.11(D5×C10) = Dic5×C2×C10central extension (φ=1)80C2^2.11(D5xC10)400,189

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