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

Direct product G=N×Q with N=C₁₆ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₆		64		C4xC16	64,26

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁C₄ = C₈.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₆	16	4	C16:1C4	64,46
C₁₆⋊₂C₄ = C₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₆	16	4	C16:2C4	64,28
C₁₆⋊₃C₄ = C₁₆⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₁₆	64		C16:3C4	64,47
C₁₆⋊₄C₄ = C₁₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₁₆	64		C16:4C4	64,48
C₁₆⋊₅C₄ = C₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₁₆	64		C16:5C4	64,27

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁C₄ = C₈.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₆	32	2	C16.1C4	64,49
C₁₆.₂C₄ = M₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₁₆	32	2	C16.2C4	64,51

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