Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×C₇⋊C₃

Direct product G=N×Q with N=C₂² and Q=C₄×C₇⋊C₃

		d	ρ	Label	ID
C₂²×C₄×C₇⋊C₃		112		C2^2xC4xC7:C3	336,164

Semidirect products G=N:Q with N=C₂² and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₄×C₇⋊C₃) = C₄×C₇⋊A₄	φ: C₄×C₇⋊C₃/C₂₈ → C₃ ⊆ Aut C₂²	84	3	C2^2:(C4xC7:C3)	336,171
C₂²⋊₂(C₄×C₇⋊C₃) = C₂²⋊C₄×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₂²	56		C2^2:2(C4xC7:C3)	336,49

Non-split extensions G=N.Q with N=C₂² and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₄×C₇⋊C₃) = M₄(2)×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₂²	56	6	C2^2.(C4xC7:C3)	336,52
C₂².₂(C₄×C₇⋊C₃) = C₂×C₈×C₇⋊C₃	central extension (φ=1)	112		C2^2.2(C4xC7:C3)	336,51

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Extensions 1→N→G→Q→1 with N=C22 and Q=C4×C7⋊C3