Extensions 1→N→G→Q→1 with N=C₂² and Q=D₁₈

Direct product G=N×Q with N=C₂² and Q=D₁₈

		d	ρ	Label	ID
C₂³×D₉		72		C2^3xD9	144,112

Semidirect products G=N:Q with N=C₂² and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₁₈ = C₂×C₃.S₄	φ: D₁₈/C₆ → S₃ ⊆ Aut C₂²	18	6+	C2^2:D18	144,109
C₂²⋊₂D₁₈ = D₄×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂²	36	4+	C2^2:2D18	144,41
C₂²⋊₃D₁₈ = C₂×C₉⋊D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:3D18	144,46

Non-split extensions G=N.Q with N=C₂² and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₁₈ = D₄⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₂²	72	4-	C2^2.1D18	144,42
C₂².₂D₁₈ = D₃₆⋊₅C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.2D18	144,40
C₂².₃D₁₈ = C₄×Dic₉	central extension (φ=1)	144		C2^2.3D18	144,11
C₂².₄D₁₈ = Dic₉⋊C₄	central extension (φ=1)	144		C2^2.4D18	144,12
C₂².₅D₁₈ = C₄⋊Dic₉	central extension (φ=1)	144		C2^2.5D18	144,13
C₂².₆D₁₈ = D₁₈⋊C₄	central extension (φ=1)	72		C2^2.6D18	144,14
C₂².₇D₁₈ = C₁₈.D₄	central extension (φ=1)	72		C2^2.7D18	144,19
C₂².₈D₁₈ = C₂×Dic₁₈	central extension (φ=1)	144		C2^2.8D18	144,37
C₂².₉D₁₈ = C₂×C₄×D₉	central extension (φ=1)	72		C2^2.9D18	144,38
C₂².₁₀D₁₈ = C₂×D₃₆	central extension (φ=1)	72		C2^2.10D18	144,39
C₂².₁₁D₁₈ = C₂²×Dic₉	central extension (φ=1)	144		C2^2.11D18	144,45

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