Extensions 1→N→G→Q→1 with N=C22 and Q=Dic6

Direct product G=NxQ with N=C22 and Q=Dic6
dρLabelID
C22xDic696C2^2xDic696,205

Semidirect products G=N:Q with N=C22 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
C22:Dic6 = A4:Q8φ: Dic6/C4S3 ⊆ Aut C22246-C2^2:Dic696,185
C22:2Dic6 = Dic3.D4φ: Dic6/Dic3C2 ⊆ Aut C2248C2^2:2Dic696,85
C22:3Dic6 = C12.48D4φ: Dic6/C12C2 ⊆ Aut C2248C2^2:3Dic696,131

Non-split extensions G=N.Q with N=C22 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
C22.1Dic6 = C12.53D4φ: Dic6/Dic3C2 ⊆ Aut C22484C2^2.1Dic696,29
C22.2Dic6 = C24.C4φ: Dic6/C12C2 ⊆ Aut C22482C2^2.2Dic696,26
C22.3Dic6 = C6.C42central extension (φ=1)96C2^2.3Dic696,38
C22.4Dic6 = C2xDic3:C4central extension (φ=1)96C2^2.4Dic696,130
C22.5Dic6 = C2xC4:Dic3central extension (φ=1)96C2^2.5Dic696,132

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