Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₁₄

Direct product G=N×Q with N=C₂² and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂³×C₁₄		112		C2^3xC14	112,43

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₁₄) = D₄×C₁₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₂²	56		C2^2:(C2xC14)	112,38

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₁₄) = C₇×C₄○D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₂²	56	2	C2^2.(C2xC14)	112,40
C₂².₂(C₂×C₁₄) = C₇×C₂²⋊C₄	central extension (φ=1)	56		C2^2.2(C2xC14)	112,20
C₂².₃(C₂×C₁₄) = C₇×C₄⋊C₄	central extension (φ=1)	112		C2^2.3(C2xC14)	112,21
C₂².₄(C₂×C₁₄) = Q₈×C₁₄	central extension (φ=1)	112		C2^2.4(C2xC14)	112,39

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C14