Extensions 1→N→G→Q→1 with N=C₁₆ and Q=Dic₇

Direct product G=N×Q with N=C₁₆ and Q=Dic₇

		d	ρ	Label	ID
C₁₆×Dic₇		448		C16xDic7	448,57

Semidirect products G=N:Q with N=C₁₆ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁Dic₇ = C₁₆⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₆	112	4	C16:1Dic7	448,70
C₁₆⋊₂Dic₇ = C₁₁₂⋊C₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₆	112	4	C16:2Dic7	448,69
C₁₆⋊₃Dic₇ = C₁₁₂⋊₅C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₆	448		C16:3Dic7	448,61
C₁₆⋊₄Dic₇ = C₁₁₂⋊₆C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₆	448		C16:4Dic7	448,62
C₁₆⋊₅Dic₇ = C₁₁₂⋊₉C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₆	448		C16:5Dic7	448,59

Non-split extensions G=N.Q with N=C₁₆ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁Dic₇ = C₁₁₂.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₆	224	2	C16.1Dic7	448,63
C₁₆.₂Dic₇ = C₇⋊M₆(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₆	224	2	C16.2Dic7	448,56
C₁₆.₃Dic₇ = C₇⋊C₆₄	central extension (φ=1)	448	2	C16.3Dic7	448,1
C₁₆.₄Dic₇ = C₂×C₇⋊C₃₂	central extension (φ=1)	448		C16.4Dic7	448,55

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