Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₄

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂²×C₂₈		112		C2^2xC28	112,37

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₄) = D₄×C₁₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	56		C4:(C2xC14)	112,38

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₁₄) = C₇×D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	56	2	C4.1(C2xC14)	112,24
C₄.₂(C₂×C₁₄) = C₇×SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	56	2	C4.2(C2xC14)	112,25
C₄.₃(C₂×C₁₄) = C₇×Q₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	112	2	C4.3(C2xC14)	112,26
C₄.₄(C₂×C₁₄) = Q₈×C₁₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	112		C4.4(C2xC14)	112,39
C₄.₅(C₂×C₁₄) = C₇×C₄○D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄	56	2	C4.5(C2xC14)	112,40
C₄.₆(C₂×C₁₄) = C₇×M₄(2)	central extension (φ=1)	56	2	C4.6(C2xC14)	112,23

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