Extensions 1→N→G→Q→1 with N=C₄ and Q=D₁₄

Direct product G=N×Q with N=C₄ and Q=D₁₄

		d	ρ	Label	ID
C₂×C₄×D₇		56		C2xC4xD7	112,28

Semidirect products G=N:Q with N=C₄ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₁₄ = D₄×D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	28	4+	C4:1D14	112,31
C₄⋊₂D₁₄ = C₂×D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₄	56		C4:2D14	112,29

Non-split extensions G=N.Q with N=C₄ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₁₄ = D₄⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4+	C4.1D14	112,14
C₄.₂D₁₄ = D₄.D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4-	C4.2D14	112,15
C₄.₃D₁₄ = Q₈⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4+	C4.3D14	112,16
C₄.₄D₁₄ = C₇⋊Q₁₆	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	112	4-	C4.4D14	112,17
C₄.₅D₁₄ = D₄⋊₂D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4-	C4.5D14	112,32
C₄.₆D₁₄ = Q₈×D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4-	C4.6D14	112,33
C₄.₇D₁₄ = Q₈⋊₂D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₄	56	4+	C4.7D14	112,34
C₄.₈D₁₄ = C₅₆⋊C₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₄	56	2	C4.8D14	112,5
C₄.₉D₁₄ = D₅₆	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₄	56	2+	C4.9D14	112,6
C₄.₁₀D₁₄ = Dic₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₄	112	2-	C4.10D14	112,7
C₄.₁₁D₁₄ = C₂×Dic₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₄	112		C4.11D14	112,27
C₄.₁₂D₁₄ = C₈×D₇	central extension (φ=1)	56	2	C4.12D14	112,3
C₄.₁₃D₁₄ = C₈⋊D₇	central extension (φ=1)	56	2	C4.13D14	112,4
C₄.₁₄D₁₄ = C₂×C₇⋊C₈	central extension (φ=1)	112		C4.14D14	112,8
C₄.₁₅D₁₄ = C₄.Dic₇	central extension (φ=1)	56	2	C4.15D14	112,9
C₄.₁₆D₁₄ = C₄○D₂₈	central extension (φ=1)	56	2	C4.16D14	112,30

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