Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₆

Direct product G=NxQ with N=C₆ and Q=C₂xC₆

		d	ρ	Label	ID
C₂xC₆²		72		C2xC6^2	72,50

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₆) = S₃xC₂xC₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	24		C6:(C2xC6)	72,48

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₆) = C₃xDic₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	24	2	C6.1(C2xC6)	72,26
C₆.₂(C₂xC₆) = S₃xC₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	24	2	C6.2(C2xC6)	72,27
C₆.₃(C₂xC₆) = C₃xD₁₂	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	24	2	C6.3(C2xC6)	72,28
C₆.₄(C₂xC₆) = C₆xDic₃	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	24		C6.4(C2xC6)	72,29
C₆.₅(C₂xC₆) = C₃xC₃:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₆	12	2	C6.5(C2xC6)	72,30
C₆.₆(C₂xC₆) = D₄xC₉	central extension (φ=1)	36	2	C6.6(C2xC6)	72,10
C₆.₇(C₂xC₆) = Q₈xC₉	central extension (φ=1)	72	2	C6.7(C2xC6)	72,11
C₆.₈(C₂xC₆) = D₄xC₃²	central extension (φ=1)	36		C6.8(C2xC6)	72,37
C₆.₉(C₂xC₆) = Q₈xC₃²	central extension (φ=1)	72		C6.9(C2xC6)	72,38

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