Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₆²

Direct product G=NxQ with N=C₄ and Q=C₂xC₆²

		d	ρ	Label	ID
C₂²xC₆xC₁₂		288		C2^2xC6xC12	288,1018

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂xC₆²) = D₄xC₆²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4:(C2xC6^2)	288,1019

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₆²) = D₈xC₃xC₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.1(C2xC6^2)	288,829
C₄.₂(C₂xC₆²) = SD₁₆xC₃xC₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.2(C2xC6^2)	288,830
C₄.₃(C₂xC₆²) = Q₁₆xC₃xC₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	288		C4.3(C2xC6^2)	288,831
C₄.₄(C₂xC₆²) = C₃²xC₄oD₈	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.4(C2xC6^2)	288,832
C₄.₅(C₂xC₆²) = C₃²xC₈:C₂²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	72		C4.5(C2xC6^2)	288,833
C₄.₆(C₂xC₆²) = C₃²xC₈.C₂²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.6(C2xC6^2)	288,834
C₄.₇(C₂xC₆²) = Q₈xC₆²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	288		C4.7(C2xC6^2)	288,1020
C₄.₈(C₂xC₆²) = C₄oD₄xC₃xC₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.8(C2xC6^2)	288,1021
C₄.₉(C₂xC₆²) = C₃²x2₊¹⁺⁴	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	72		C4.9(C2xC6^2)	288,1022
C₄.₁₀(C₂xC₆²) = C₃²x2_-¹⁺⁴	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₄	144		C4.10(C2xC6^2)	288,1023
C₄.₁₁(C₂xC₆²) = M₄(2)xC₃xC₆	central extension (φ=1)	144		C4.11(C2xC6^2)	288,827
C₄.₁₂(C₂xC₆²) = C₃²xC₈oD₄	central extension (φ=1)	144		C4.12(C2xC6^2)	288,828

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