Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×C10

Direct product G=N×Q with N=Dic3 and Q=C2×C10

Semidirect products G=N:Q with N=Dic3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Dic31(C2×C10) = C5×S3×D4φ: C2×C10/C10C2 ⊆ Out Dic3604Dic3:1(C2xC10)240,169
Dic32(C2×C10) = C10×C3⋊D4φ: C2×C10/C10C2 ⊆ Out Dic3120Dic3:2(C2xC10)240,174
Dic33(C2×C10) = S3×C2×C20φ: trivial image120Dic3:3(C2xC10)240,166

Non-split extensions G=N.Q with N=Dic3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×C10) = C10×Dic6φ: C2×C10/C10C2 ⊆ Out Dic3240Dic3.1(C2xC10)240,165
Dic3.2(C2×C10) = C5×C4○D12φ: C2×C10/C10C2 ⊆ Out Dic31202Dic3.2(C2xC10)240,168
Dic3.3(C2×C10) = C5×D42S3φ: C2×C10/C10C2 ⊆ Out Dic31204Dic3.3(C2xC10)240,170
Dic3.4(C2×C10) = C5×S3×Q8φ: C2×C10/C10C2 ⊆ Out Dic31204Dic3.4(C2xC10)240,171
Dic3.5(C2×C10) = C5×Q83S3φ: trivial image1204Dic3.5(C2xC10)240,172