Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₆²

Direct product G=N×Q with N=C₂² and Q=C₂×C₆²

		d	ρ	Label	ID
C₂³×C₆²		288		C2^3xC6^2	288,1045

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₆²) = A₄×C₂²×C₆	φ: C₂×C₆²/C₂²×C₆ → C₃ ⊆ Aut C₂²	72		C2^2:(C2xC6^2)	288,1041
C₂²⋊₂(C₂×C₆²) = D₄×C₆²	φ: C₂×C₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2:2(C2xC6^2)	288,1019

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₆²) = C₄○D₄×C₃×C₆	φ: C₂×C₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.1(C2xC6^2)	288,1021
C₂².₂(C₂×C₆²) = C₃²×2₊¹⁺⁴	φ: C₂×C₆²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2.2(C2xC6^2)	288,1022
C₂².₃(C₂×C₆²) = C₃²×2_-¹⁺⁴	φ: C₂×C₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.3(C2xC6^2)	288,1023
C₂².₄(C₂×C₆²) = C₂²⋊C₄×C₃×C₆	central extension (φ=1)	144		C2^2.4(C2xC6^2)	288,812
C₂².₅(C₂×C₆²) = C₄⋊C₄×C₃×C₆	central extension (φ=1)	288		C2^2.5(C2xC6^2)	288,813
C₂².₆(C₂×C₆²) = C₃²×C₄²⋊C₂	central extension (φ=1)	144		C2^2.6(C2xC6^2)	288,814
C₂².₇(C₂×C₆²) = D₄×C₃×C₁₂	central extension (φ=1)	144		C2^2.7(C2xC6^2)	288,815
C₂².₈(C₂×C₆²) = Q₈×C₃×C₁₂	central extension (φ=1)	288		C2^2.8(C2xC6^2)	288,816
C₂².₉(C₂×C₆²) = Q₈×C₆²	central extension (φ=1)	288		C2^2.9(C2xC6^2)	288,1020
C₂².₁₀(C₂×C₆²) = C₃²×C₂²≀C₂	central stem extension (φ=1)	72		C2^2.10(C2xC6^2)	288,817
C₂².₁₁(C₂×C₆²) = C₃²×C₄⋊D₄	central stem extension (φ=1)	144		C2^2.11(C2xC6^2)	288,818
C₂².₁₂(C₂×C₆²) = C₃²×C₂²⋊Q₈	central stem extension (φ=1)	144		C2^2.12(C2xC6^2)	288,819
C₂².₁₃(C₂×C₆²) = C₃²×C₂².D₄	central stem extension (φ=1)	144		C2^2.13(C2xC6^2)	288,820
C₂².₁₄(C₂×C₆²) = C₃²×C₄.₄D₄	central stem extension (φ=1)	144		C2^2.14(C2xC6^2)	288,821
C₂².₁₅(C₂×C₆²) = C₃²×C₄².C₂	central stem extension (φ=1)	288		C2^2.15(C2xC6^2)	288,822
C₂².₁₆(C₂×C₆²) = C₃²×C₄²⋊₂C₂	central stem extension (φ=1)	144		C2^2.16(C2xC6^2)	288,823
C₂².₁₇(C₂×C₆²) = C₃²×C₄⋊₁D₄	central stem extension (φ=1)	144		C2^2.17(C2xC6^2)	288,824
C₂².₁₈(C₂×C₆²) = C₃²×C₄⋊Q₈	central stem extension (φ=1)	288		C2^2.18(C2xC6^2)	288,825

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