Extensions 1→N→G→Q→1 with N=Dic₂₈ and Q=C₂

Direct product G=N×Q with N=Dic₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₂₈		224		C2xDic28	224,100

Semidirect products G=N:Q with N=Dic₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₈⋊₁C₂ = C₁₁₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	2	Dic28:1C2	224,6
Dic₂₈⋊₂C₂ = C₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	4-	Dic28:2C2	224,104
Dic₂₈⋊₃C₂ = D₈.D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	4-	Dic28:3C2	224,33
Dic₂₈⋊₄C₂ = D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	4-	Dic28:4C2	224,107
Dic₂₈⋊₅C₂ = D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	4-	Dic28:5C2	224,112
Dic₂₈⋊₆C₂ = SD₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	112	4-	Dic28:6C2	224,110
Dic₂₈⋊₇C₂ = D₅₆⋊₇C₂	φ: trivial image	112	2	Dic28:7C2	224,99

Non-split extensions G=N.Q with N=Dic₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₈.₁C₂ = Dic₅₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	224	2-	Dic28.1C2	224,7
Dic₂₈.₂C₂ = C₇⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₈	224	4-	Dic28.2C2	224,35

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