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
A₄×C₂×C₁₄		84		A4xC2xC14	336,221

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:(C7xA4)	336,223

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) = C₇×C₄²⋊C₃	φ: C₇×A₄/C₂×C₁₄ → C₃ ⊆ Aut C₂²	84	3	C2^2.(C7xA4)	336,56
C₂².₂(C₇×A₄) = C₁₄×SL₂(𝔽₃)	central extension (φ=1)	112		C2^2.2(C7xA4)	336,169

⋊

ℤ

𝔽

○

≀

ℚ

◁

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