Extensions 1→N→G→Q→1 with N=C₂×C₁₈ and Q=C₂²

Direct product G=N×Q with N=C₂×C₁₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₁₈		144		C2^3xC18	144,113

Semidirect products G=N:Q with N=C₂×C₁₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊C₂² = D₄×D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₁₈	36	4+	(C2xC18):C2^2	144,41
(C₂×C₁₈)⋊₂C₂² = D₄×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18):2C2^2	144,48
(C₂×C₁₈)⋊₃C₂² = C₂×C₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18):3C2^2	144,46
(C₂×C₁₈)⋊₄C₂² = C₂³×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18):4C2^2	144,112

Non-split extensions G=N.Q with N=C₂×C₁₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).C₂² = D₄⋊₂D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₁₈	72	4-	(C2xC18).C2^2	144,42
(C₂×C₁₈).₂C₂² = C₉×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72	2	(C2xC18).2C2^2	144,50
(C₂×C₁₈).₃C₂² = C₄×Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	144		(C2xC18).3C2^2	144,11
(C₂×C₁₈).₄C₂² = Dic₉⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	144		(C2xC18).4C2^2	144,12
(C₂×C₁₈).₅C₂² = C₄⋊Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	144		(C2xC18).5C2^2	144,13
(C₂×C₁₈).₆C₂² = D₁₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18).6C2^2	144,14
(C₂×C₁₈).₇C₂² = C₁₈.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18).7C2^2	144,19
(C₂×C₁₈).₈C₂² = C₂×Dic₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	144		(C2xC18).8C2^2	144,37
(C₂×C₁₈).₉C₂² = C₂×C₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18).9C2^2	144,38
(C₂×C₁₈).₁₀C₂² = C₂×D₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18).10C2^2	144,39
(C₂×C₁₈).₁₁C₂² = D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	72	2	(C2xC18).11C2^2	144,40
(C₂×C₁₈).₁₂C₂² = C₂²×Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₈	144		(C2xC18).12C2^2	144,45
(C₂×C₁₈).₁₃C₂² = C₉×C₂²⋊C₄	central extension (φ=1)	72		(C2xC18).13C2^2	144,21
(C₂×C₁₈).₁₄C₂² = C₉×C₄⋊C₄	central extension (φ=1)	144		(C2xC18).14C2^2	144,22
(C₂×C₁₈).₁₅C₂² = Q₈×C₁₈	central extension (φ=1)	144		(C2xC18).15C2^2	144,49

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