Extensions 1→N→G→Q→1 with N=C62 and Q=C2

Direct product G=NxQ with N=C62 and Q=C2
dρLabelID
C2xC6272C2xC6^272,50

Semidirect products G=N:Q with N=C62 and Q=C2
extensionφ:Q→Aut NdρLabelID
C62:1C2 = D4xC32φ: C2/C1C2 ⊆ Aut C6236C6^2:1C272,37
C62:2C2 = C3xC3:D4φ: C2/C1C2 ⊆ Aut C62122C6^2:2C272,30
C62:3C2 = C32:7D4φ: C2/C1C2 ⊆ Aut C6236C6^2:3C272,35
C62:4C2 = S3xC2xC6φ: C2/C1C2 ⊆ Aut C6224C6^2:4C272,48
C62:5C2 = C22xC3:S3φ: C2/C1C2 ⊆ Aut C6236C6^2:5C272,49

Non-split extensions G=N.Q with N=C62 and Q=C2
extensionφ:Q→Aut NdρLabelID
C62.1C2 = C6xDic3φ: C2/C1C2 ⊆ Aut C6224C6^2.1C272,29
C62.2C2 = C2xC3:Dic3φ: C2/C1C2 ⊆ Aut C6272C6^2.2C272,34

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