Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₈

Direct product G=N×Q with N=C₄ and Q=Dic₂₈

		d	ρ	Label	ID
C₄×Dic₂₈		448		C4xDic28	448,232

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₂₈ = C₂₈⋊₄Q₁₆	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₄	448		C4:1Dic28	448,233
C₄⋊₂Dic₂₈ = C₄⋊Dic₂₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4:2Dic28	448,383

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₂₈ = C₁₁₂⋊₅C₄	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₄	448		C4.1Dic28	448,61
C₄.₂Dic₂₈ = C₁₁₂⋊₆C₄	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₄	448		C4.2Dic28	448,62
C₄.₃Dic₂₈ = C₂₈.₁₄Q₁₆	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₄	448		C4.3Dic28	448,215
C₄.₄Dic₂₈ = C₅₆⋊₈Q₈	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₄	448		C4.4Dic28	448,216
C₄.₅Dic₂₈ = C₄.Dic₂₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4.5Dic28	448,38
C₄.₆Dic₂₈ = C₂₈.₄₇D₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4.6Dic28	448,39
C₄.₇Dic₂₈ = C₂₈.₇Q₁₆	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4.7Dic28	448,384
C₄.₈Dic₂₈ = C₄.₈Dic₂₈	central extension (φ=1)	448		C4.8Dic28	448,13
C₄.₉Dic₂₈ = C₅₆⋊₁C₈	central extension (φ=1)	448		C4.9Dic28	448,15

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