Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂xC₆

Direct product G=NxQ with N=C₁₈ and Q=C₂xC₆

		d	ρ	Label	ID
C₂xC₆xC₁₈		216		C2xC6xC18	216,114

Semidirect products G=N:Q with N=C₁₈ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈:(C₂xC₆) = C₂²xC₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	36		C18:(C2xC6)	216,111
C₁₈:₂(C₂xC₆) = C₂³x3_-¹⁺²	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₁₈	72		C18:2(C2xC6)	216,116
C₁₈:₃(C₂xC₆) = C₂xC₆xD₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	72		C18:3(C2xC6)	216,108

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₂xC₆) = C₃₆.C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	72	6-	C18.1(C2xC6)	216,52
C₁₈.₂(C₂xC₆) = C₄xC₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	36	6	C18.2(C2xC6)	216,53
C₁₈.₃(C₂xC₆) = D₃₆:C₃	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	36	6+	C18.3(C2xC6)	216,54
C₁₈.₄(C₂xC₆) = C₂xC₉:C₁₂	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	72		C18.4(C2xC6)	216,61
C₁₈.₅(C₂xC₆) = Dic₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₁₈	36	6	C18.5(C2xC6)	216,62
C₁₈.₆(C₂xC₆) = C₂xC₄x3_-¹⁺²	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₁₈	72		C18.6(C2xC6)	216,75
C₁₈.₇(C₂xC₆) = D₄x3_-¹⁺²	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₁₈	36	6	C18.7(C2xC6)	216,78
C₁₈.₈(C₂xC₆) = Q₈x3_-¹⁺²	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₁₈	72	6	C18.8(C2xC6)	216,81
C₁₈.₉(C₂xC₆) = C₃xDic₁₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	72	2	C18.9(C2xC6)	216,43
C₁₈.₁₀(C₂xC₆) = C₁₂xD₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	72	2	C18.10(C2xC6)	216,45
C₁₈.₁₁(C₂xC₆) = C₃xD₃₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	72	2	C18.11(C2xC6)	216,46
C₁₈.₁₂(C₂xC₆) = C₆xDic₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	72		C18.12(C2xC6)	216,55
C₁₈.₁₃(C₂xC₆) = C₃xC₉:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₁₈	36	2	C18.13(C2xC6)	216,57
C₁₈.₁₄(C₂xC₆) = D₄xC₂₇	central extension (φ=1)	108	2	C18.14(C2xC6)	216,10
C₁₈.₁₅(C₂xC₆) = Q₈xC₂₇	central extension (φ=1)	216	2	C18.15(C2xC6)	216,11
C₁₈.₁₆(C₂xC₆) = D₄xC₃xC₉	central extension (φ=1)	108		C18.16(C2xC6)	216,76
C₁₈.₁₇(C₂xC₆) = Q₈xC₃xC₉	central extension (φ=1)	216		C18.17(C2xC6)	216,79

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