Extensions 1→N→G→Q→1 with N=C₂² and Q=D₁₄

Direct product G=N×Q with N=C₂² and Q=D₁₄

		d	ρ	Label	ID
C₂³×D₇		56		C2^3xD7	112,42

Semidirect products G=N:Q with N=C₂² and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₁₄ = D₄×D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂²	28	4+	C2^2:1D14	112,31
C₂²⋊₂D₁₄ = C₂×C₇⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂²	56		C2^2:2D14	112,36

Non-split extensions G=N.Q with N=C₂² and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₁₄ = D₄⋊₂D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂²	56	4-	C2^2.1D14	112,32
C₂².₂D₁₄ = C₄○D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂²	56	2	C2^2.2D14	112,30
C₂².₃D₁₄ = C₄×Dic₇	central extension (φ=1)	112		C2^2.3D14	112,10
C₂².₄D₁₄ = Dic₇⋊C₄	central extension (φ=1)	112		C2^2.4D14	112,11
C₂².₅D₁₄ = C₄⋊Dic₇	central extension (φ=1)	112		C2^2.5D14	112,12
C₂².₆D₁₄ = D₁₄⋊C₄	central extension (φ=1)	56		C2^2.6D14	112,13
C₂².₇D₁₄ = C₂³.D₇	central extension (φ=1)	56		C2^2.7D14	112,18
C₂².₈D₁₄ = C₂×Dic₁₄	central extension (φ=1)	112		C2^2.8D14	112,27
C₂².₉D₁₄ = C₂×C₄×D₇	central extension (φ=1)	56		C2^2.9D14	112,28
C₂².₁₀D₁₄ = C₂×D₂₈	central extension (φ=1)	56		C2^2.10D14	112,29
C₂².₁₁D₁₄ = C₂²×Dic₇	central extension (φ=1)	112		C2^2.11D14	112,35

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