Extensions 1→N→G→Q→1 with N=C6 and Q=Q16

Direct product G=NxQ with N=C6 and Q=Q16
dρLabelID
C6xQ1696C6xQ1696,181

Semidirect products G=N:Q with N=C6 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C6:1Q16 = C2xDic12φ: Q16/C8C2 ⊆ Aut C696C6:1Q1696,112
C6:2Q16 = C2xC3:Q16φ: Q16/Q8C2 ⊆ Aut C696C6:2Q1696,150

Non-split extensions G=N.Q with N=C6 and Q=Q16
extensionφ:Q→Aut NdρLabelID
C6.1Q16 = C2.Dic12φ: Q16/C8C2 ⊆ Aut C696C6.1Q1696,23
C6.2Q16 = C24:1C4φ: Q16/C8C2 ⊆ Aut C696C6.2Q1696,25
C6.3Q16 = C6.Q16φ: Q16/Q8C2 ⊆ Aut C696C6.3Q1696,14
C6.4Q16 = C6.SD16φ: Q16/Q8C2 ⊆ Aut C696C6.4Q1696,17
C6.5Q16 = Q8:2Dic3φ: Q16/Q8C2 ⊆ Aut C696C6.5Q1696,42
C6.6Q16 = C3xQ8:C4central extension (φ=1)96C6.6Q1696,53
C6.7Q16 = C3xC2.D8central extension (φ=1)96C6.7Q1696,57

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