Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₆²

Direct product G=NxQ with N=C₂² and Q=C₂xC₆²

		d	ρ	Label	ID
C₂³xC₆²		288		C2^3xC6^2	288,1045

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₆²) = A₄xC₂²xC₆	φ: C₂xC₆²/C₂²xC₆ → C₃ ⊆ Aut C₂²	72		C2^2:(C2xC6^2)	288,1041
C₂²:₂(C₂xC₆²) = D₄xC₆²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2:2(C2xC6^2)	288,1019

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₆²) = C₄oD₄xC₃xC₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.1(C2xC6^2)	288,1021
C₂².₂(C₂xC₆²) = C₃²x2₊¹⁺⁴	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2.2(C2xC6^2)	288,1022
C₂².₃(C₂xC₆²) = C₃²x2_-¹⁺⁴	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.3(C2xC6^2)	288,1023
C₂².₄(C₂xC₆²) = C₂²:C₄xC₃xC₆	central extension (φ=1)	144		C2^2.4(C2xC6^2)	288,812
C₂².₅(C₂xC₆²) = C₄:C₄xC₃xC₆	central extension (φ=1)	288		C2^2.5(C2xC6^2)	288,813
C₂².₆(C₂xC₆²) = C₃²xC₄²:C₂	central extension (φ=1)	144		C2^2.6(C2xC6^2)	288,814
C₂².₇(C₂xC₆²) = D₄xC₃xC₁₂	central extension (φ=1)	144		C2^2.7(C2xC6^2)	288,815
C₂².₈(C₂xC₆²) = Q₈xC₃xC₁₂	central extension (φ=1)	288		C2^2.8(C2xC6^2)	288,816
C₂².₉(C₂xC₆²) = Q₈xC₆²	central extension (φ=1)	288		C2^2.9(C2xC6^2)	288,1020
C₂².₁₀(C₂xC₆²) = C₃²xC₂²wrC₂	central stem extension (φ=1)	72		C2^2.10(C2xC6^2)	288,817
C₂².₁₁(C₂xC₆²) = C₃²xC₄:D₄	central stem extension (φ=1)	144		C2^2.11(C2xC6^2)	288,818
C₂².₁₂(C₂xC₆²) = C₃²xC₂²:Q₈	central stem extension (φ=1)	144		C2^2.12(C2xC6^2)	288,819
C₂².₁₃(C₂xC₆²) = C₃²xC₂².D₄	central stem extension (φ=1)	144		C2^2.13(C2xC6^2)	288,820
C₂².₁₄(C₂xC₆²) = C₃²xC₄.₄D₄	central stem extension (φ=1)	144		C2^2.14(C2xC6^2)	288,821
C₂².₁₅(C₂xC₆²) = C₃²xC₄².C₂	central stem extension (φ=1)	288		C2^2.15(C2xC6^2)	288,822
C₂².₁₆(C₂xC₆²) = C₃²xC₄²:₂C₂	central stem extension (φ=1)	144		C2^2.16(C2xC6^2)	288,823
C₂².₁₇(C₂xC₆²) = C₃²xC₄:₁D₄	central stem extension (φ=1)	144		C2^2.17(C2xC6^2)	288,824
C₂².₁₈(C₂xC₆²) = C₃²xC₄:Q₈	central stem extension (φ=1)	288		C2^2.18(C2xC6^2)	288,825

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