Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC6.D4

Direct product G=NxQ with N=C3 and Q=C2xC6.D4
dρLabelID
C6xC6.D448C6xC6.D4288,723

Semidirect products G=N:Q with N=C3 and Q=C2xC6.D4
extensionφ:Q→Aut NdρLabelID
C3:1(C2xC6.D4) = S3xC6.D4φ: C2xC6.D4/C6.D4C2 ⊆ Aut C348C3:1(C2xC6.D4)288,616
C3:2(C2xC6.D4) = C2xD6:Dic3φ: C2xC6.D4/C22xDic3C2 ⊆ Aut C396C3:2(C2xC6.D4)288,608
C3:3(C2xC6.D4) = C2xC62:5C4φ: C2xC6.D4/C23xC6C2 ⊆ Aut C3144C3:3(C2xC6.D4)288,809

Non-split extensions G=N.Q with N=C3 and Q=C2xC6.D4
extensionφ:Q→Aut NdρLabelID
C3.(C2xC6.D4) = C2xC18.D4φ: C2xC6.D4/C23xC6C2 ⊆ Aut C3144C3.(C2xC6.D4)288,162

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