Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃:C₈

Direct product G=NxQ with N=C₃xC₆ and Q=C₃:C₈

		d	ρ	Label	ID
C₃xC₆xC₃:C₈		144		C3xC6xC3:C8	432,469

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):(C₃:C₈) = C₂xC₃:F₉	φ: C₃:C₈/C₃ → C₈ ⊆ Aut C₃xC₆	48	8	(C3xC6):(C3:C8)	432,752
(C₃xC₆):₂(C₃:C₈) = C₂xHe₃:₃C₈	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6):2(C3:C8)	432,136
(C₃xC₆):₃(C₃:C₈) = C₂xHe₃:₄C₈	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6):3(C3:C8)	432,184
(C₃xC₆):₄(C₃:C₈) = C₂xC₃³:₄C₈	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₃xC₆	48		(C3xC6):4(C3:C8)	432,639
(C₃xC₆):₅(C₃:C₈) = C₆xC₃²:₄C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6):5(C3:C8)	432,485
(C₃xC₆):₆(C₃:C₈) = C₂xC₃³:₇C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6):6(C3:C8)	432,501

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).(C₃:C₈) = C₆.F₉	φ: C₃:C₈/C₃ → C₈ ⊆ Aut C₃xC₆	48	8	(C3xC6).(C3:C8)	432,566
(C₃xC₆).₂(C₃:C₈) = He₃:₃C₁₆	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144	6	(C3xC6).2(C3:C8)	432,30
(C₃xC₆).₃(C₃:C₈) = C₉:C₄₈	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144	6	(C3xC6).3(C3:C8)	432,31
(C₃xC₆).₄(C₃:C₈) = He₃:₄C₁₆	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144	3	(C3xC6).4(C3:C8)	432,33
(C₃xC₆).₅(C₃:C₈) = C₂xC₉:C₂₄	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6).5(C3:C8)	432,142
(C₃xC₆).₆(C₃:C₈) = C₃³:₄C₁₆	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).6(C3:C8)	432,413
(C₃xC₆).₇(C₃:C₈) = C₃xC₉:C₁₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).7(C3:C8)	432,28
(C₃xC₆).₈(C₃:C₈) = C₇₂.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).8(C3:C8)	432,32
(C₃xC₆).₉(C₃:C₈) = C₆xC₉:C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).9(C3:C8)	432,124
(C₃xC₆).₁₀(C₃:C₈) = C₂xC₃₆.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).10(C3:C8)	432,178
(C₃xC₆).₁₁(C₃:C₈) = C₃xC₂₄.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).11(C3:C8)	432,230
(C₃xC₆).₁₂(C₃:C₈) = C₃³:₇C₁₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).12(C3:C8)	432,231
(C₃xC₆).₁₃(C₃:C₈) = C₃²xC₃:C₁₆	central extension (φ=1)	144		(C3xC6).13(C3:C8)	432,229

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