Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇⋊A₄

Direct product G=N×Q with N=C₂² and Q=C₇⋊A₄

		d	ρ	Label	ID
C₂²×C₇⋊A₄		84		C2^2xC7:A4	336,222

Semidirect products G=N:Q with N=C₂² and Q=C₇⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₇⋊A₄) = C₇⋊(C₂²⋊A₄)	φ: C₇⋊A₄/C₂×C₁₄ → C₃ ⊆ Aut C₂²	84		C2^2:(C7:A4)	336,224

Non-split extensions G=N.Q with N=C₂² and Q=C₇⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₇⋊A₄) = C₄²⋊(C₇⋊C₃)	φ: C₇⋊A₄/C₂×C₁₄ → C₃ ⊆ Aut C₂²	84	3	C2^2.(C7:A4)	336,57
C₂².₂(C₇⋊A₄) = C₂×C₁₄.A₄	central extension (φ=1)	112		C2^2.2(C7:A4)	336,172

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C7⋊A4