Extensions 1→N→G→Q→1 with N=C₁₀₄ and Q=C₂

Direct product G=N×Q with N=C₁₀₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₀₄		208		C2xC104	208,23

Semidirect products G=N:Q with N=C₁₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₄⋊₁C₂ = D₁₀₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2+	C104:1C2	208,7
C₁₀₄⋊₂C₂ = C₁₀₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:2C2	208,6
C₁₀₄⋊₃C₂ = C₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:3C2	208,4
C₁₀₄⋊₄C₂ = C₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:4C2	208,5
C₁₀₄⋊₅C₂ = C₁₃×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:5C2	208,25
C₁₀₄⋊₆C₂ = C₁₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:6C2	208,26
C₁₀₄⋊₇C₂ = C₁₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	104	2	C104:7C2	208,24

Non-split extensions G=N.Q with N=C₁₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₄.₁C₂ = Dic₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	208	2-	C104.1C2	208,8
C₁₀₄.₂C₂ = C₁₃⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	208	2	C104.2C2	208,1
C₁₀₄.₃C₂ = C₁₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₄	208	2	C104.3C2	208,27

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