# Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C22×C6

Direct product G=N×Q with N=C2 and Q=D5×C22×C6
dρLabelID
D5×C23×C6240D5xC2^3xC6480,1210

Non-split extensions G=N.Q with N=C2 and Q=D5×C22×C6
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C22×C6) = D5×C22×C12central extension (φ=1)240C2.1(D5xC2^2xC6)480,1136
C2.2(D5×C22×C6) = Dic5×C22×C6central extension (φ=1)480C2.2(D5xC2^2xC6)480,1148
C2.3(D5×C22×C6) = C2×C6×Dic10central stem extension (φ=1)480C2.3(D5xC2^2xC6)480,1135
C2.4(D5×C22×C6) = C2×C6×D20central stem extension (φ=1)240C2.4(D5xC2^2xC6)480,1137
C2.5(D5×C22×C6) = C6×C4○D20central stem extension (φ=1)240C2.5(D5xC2^2xC6)480,1138
C2.6(D5×C22×C6) = C6×D4×D5central stem extension (φ=1)120C2.6(D5xC2^2xC6)480,1139
C2.7(D5×C22×C6) = C6×D42D5central stem extension (φ=1)240C2.7(D5xC2^2xC6)480,1140
C2.8(D5×C22×C6) = C3×D46D10central stem extension (φ=1)1204C2.8(D5xC2^2xC6)480,1141
C2.9(D5×C22×C6) = C6×Q8×D5central stem extension (φ=1)240C2.9(D5xC2^2xC6)480,1142
C2.10(D5×C22×C6) = C6×Q82D5central stem extension (φ=1)240C2.10(D5xC2^2xC6)480,1143
C2.11(D5×C22×C6) = C3×Q8.10D10central stem extension (φ=1)2404C2.11(D5xC2^2xC6)480,1144
C2.12(D5×C22×C6) = C3×D5×C4○D4central stem extension (φ=1)1204C2.12(D5xC2^2xC6)480,1145
C2.13(D5×C22×C6) = C3×D48D10central stem extension (φ=1)1204C2.13(D5xC2^2xC6)480,1146
C2.14(D5×C22×C6) = C3×D4.10D10central stem extension (φ=1)2404C2.14(D5xC2^2xC6)480,1147
C2.15(D5×C22×C6) = C2×C6×C5⋊D4central stem extension (φ=1)240C2.15(D5xC2^2xC6)480,1149

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