Extensions 1→N→G→Q→1 with N=C₂₈.C₈ and Q=C₂

Direct product G=N×Q with N=C₂₈.C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈.C₈		224		C2xC28.C8	448,631

Semidirect products G=N:Q with N=C₂₈.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈.C₈⋊₁C₂ = D₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:1C2	448,120
C₂₈.C₈⋊₂C₂ = D₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:2C2	448,681
C₂₈.C₈⋊₃C₂ = Q₁₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4	C28.C8:3C2	448,713
C₂₈.C₈⋊₄C₂ = D₅₆⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:4C2	448,45
C₂₈.C₈⋊₅C₂ = D₅₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4+	C28.C8:5C2	448,52
C₂₈.C₈⋊₆C₂ = Q₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4+	C28.C8:6C2	448,727
C₂₈.C₈⋊₇C₂ = C₅₆.₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4-	C28.C8:7C2	448,729
C₂₈.C₈⋊₈C₂ = D₈⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:8C2	448,123
C₂₈.C₈⋊₉C₂ = D₂₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	2	C28.C8:9C2	448,65
C₂₈.C₈⋊₁₀C₂ = M₅(2)⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:10C2	448,71
C₂₈.C₈⋊₁₁C₂ = C₅₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:11C2	448,110
C₂₈.C₈⋊₁₂C₂ = C₅₆.₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4	C28.C8:12C2	448,118
C₂₈.C₈⋊₁₃C₂ = D₇×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8:13C2	448,440
C₂₈.C₈⋊₁₄C₂ = C₅₆.₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4	C28.C8:14C2	448,674
C₂₈.C₈⋊₁₅C₂ = D₂₈.₄C₈	φ: trivial image	224	2	C28.C8:15C2	448,435

Non-split extensions G=N.Q with N=C₂₈.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈.C₈.₁C₂ = Q₁₆.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4	C28.C8.1C2	448,122
C₂₈.C₈.₂C₂ = C₅₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8.2C2	448,44
C₂₈.C₈.₃C₂ = C₅₆.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	224	4-	C28.C8.3C2	448,53
C₂₈.C₈.₄C₂ = C₈.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8.4C2	448,51
C₂₈.C₈.₅C₂ = C₅₆.₁₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	2	C28.C8.5C2	448,20
C₂₈.C₈.₆C₂ = C₂₈.₁₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8.6C2	448,23
C₂₈.C₈.₇C₂ = C₅₆.₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8.7C2	448,68
C₂₈.C₈.₈C₂ = C₁₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈.C₈	112	4	C28.C8.8C2	448,69

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