Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₈

Direct product G=N×Q with N=C₁₆ and Q=C₈

		d	ρ	Label	ID
C₈×C₁₆		128		C8xC16	128,42

Semidirect products G=N:Q with N=C₁₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁C₈ = C₁₆⋊₁C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₁₆	128		C16:1C8	128,100
C₁₆⋊₂C₈ = C₁₆⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₁₆	128		C16:2C8	128,45
C₁₆⋊₃C₈ = C₁₆⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	128		C16:3C8	128,103
C₁₆⋊₄C₈ = C₁₆⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	128		C16:4C8	128,104
C₁₆⋊₅C₈ = C₁₆⋊₅C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	128		C16:5C8	128,43

Non-split extensions G=N.Q with N=C₁₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁C₈ = C₁₆.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₁₆	32	4	C16.1C8	128,101
C₁₆.₂C₈ = C₃₂⋊C₄	φ: C₈/C₂ → C₄ ⊆ Aut C₁₆	32	4	C16.2C8	128,130
C₁₆.₃C₈ = C₁₆.₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	32	2	C16.3C8	128,105
C₁₆.₄C₈ = C₃₂⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	128		C16.4C8	128,129
C₁₆.₅C₈ = M₇(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₁₆	64	2	C16.5C8	128,160

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