# Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22×C10

Direct product G=N×Q with N=Dic3 and Q=C22×C10
dρLabelID
Dic3×C22×C10480Dic3xC2^2xC10480,1163

Semidirect products G=N:Q with N=Dic3 and Q=C22×C10
extensionφ:Q→Out NdρLabelID
Dic31(C22×C10) = S3×D4×C10φ: C22×C10/C2×C10C2 ⊆ Out Dic3120Dic3:1(C2^2xC10)480,1154
Dic32(C22×C10) = C2×C10×C3⋊D4φ: C22×C10/C2×C10C2 ⊆ Out Dic3240Dic3:2(C2^2xC10)480,1164
Dic33(C22×C10) = S3×C22×C20φ: trivial image240Dic3:3(C2^2xC10)480,1151

Non-split extensions G=N.Q with N=Dic3 and Q=C22×C10
extensionφ:Q→Out NdρLabelID
Dic3.1(C22×C10) = C2×C10×Dic6φ: C22×C10/C2×C10C2 ⊆ Out Dic3480Dic3.1(C2^2xC10)480,1150
Dic3.2(C22×C10) = C10×C4○D12φ: C22×C10/C2×C10C2 ⊆ Out Dic3240Dic3.2(C2^2xC10)480,1153
Dic3.3(C22×C10) = C10×D42S3φ: C22×C10/C2×C10C2 ⊆ Out Dic3240Dic3.3(C2^2xC10)480,1155
Dic3.4(C22×C10) = C5×D46D6φ: C22×C10/C2×C10C2 ⊆ Out Dic31204Dic3.4(C2^2xC10)480,1156
Dic3.5(C22×C10) = S3×Q8×C10φ: C22×C10/C2×C10C2 ⊆ Out Dic3240Dic3.5(C2^2xC10)480,1157
Dic3.6(C22×C10) = C5×Q8.15D6φ: C22×C10/C2×C10C2 ⊆ Out Dic32404Dic3.6(C2^2xC10)480,1159
Dic3.7(C22×C10) = C5×S3×C4○D4φ: C22×C10/C2×C10C2 ⊆ Out Dic31204Dic3.7(C2^2xC10)480,1160
Dic3.8(C22×C10) = C5×D4○D12φ: C22×C10/C2×C10C2 ⊆ Out Dic31204Dic3.8(C2^2xC10)480,1161
Dic3.9(C22×C10) = C5×Q8○D12φ: C22×C10/C2×C10C2 ⊆ Out Dic32404Dic3.9(C2^2xC10)480,1162
Dic3.10(C22×C10) = C10×Q83S3φ: trivial image240Dic3.10(C2^2xC10)480,1158

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