Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇:C₁₆

Direct product G=NxQ with N=C₄ and Q=C₇:C₁₆

		d	ρ	Label	ID
C₄xC₇:C₁₆		448		C4xC7:C16	448,17

Semidirect products G=N:Q with N=C₄ and Q=C₇:C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₇:C₁₆) = C₂₈:C₁₆	φ: C₇:C₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4:(C7:C16)	448,19

Non-split extensions G=N.Q with N=C₄ and Q=C₇:C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₇:C₁₆) = C₇:M₆(2)	φ: C₇:C₁₆/C₅₆ → C₂ ⊆ Aut C₄	224	2	C4.(C7:C16)	448,56
C₄.₂(C₇:C₁₆) = C₇:C₆₄	central extension (φ=1)	448	2	C4.2(C7:C16)	448,1
C₄.₃(C₇:C₁₆) = C₂xC₇:C₃₂	central extension (φ=1)	448		C4.3(C7:C16)	448,55

Extensions 1→N→G→Q→1 with N=C4 and Q=C7:C16