Extensions 1→N→G→Q→1 with N=D10 and Q=Dic3

Direct product G=N×Q with N=D10 and Q=Dic3
dρLabelID
C2×D5×Dic3120C2xD5xDic3240,139

Semidirect products G=N:Q with N=D10 and Q=Dic3
extensionφ:Q→Out NdρLabelID
D101Dic3 = D10⋊Dic3φ: Dic3/C6C2 ⊆ Out D10120D10:1Dic3240,26
D102Dic3 = D10.D6φ: Dic3/C6C2 ⊆ Out D10604D10:2Dic3240,124
D103Dic3 = C22×C3⋊F5φ: Dic3/C6C2 ⊆ Out D1060D10:3Dic3240,201

Non-split extensions G=N.Q with N=D10 and Q=Dic3
extensionφ:Q→Out NdρLabelID
D10.1Dic3 = C20.32D6φ: Dic3/C6C2 ⊆ Out D101204D10.1Dic3240,10
D10.2Dic3 = C60.C4φ: Dic3/C6C2 ⊆ Out D101204D10.2Dic3240,118
D10.3Dic3 = C12.F5φ: Dic3/C6C2 ⊆ Out D101204D10.3Dic3240,119
D10.4Dic3 = D5×C3⋊C8φ: trivial image1204D10.4Dic3240,7

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