Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₂²

Direct product G=N×Q with N=Dic₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₁₄		224		C2^2xDic14	224,174

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁C₂² = D₈⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	56	4	Dic14:1C2^2	224,106
Dic₁₄⋊₂C₂² = D₇×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	56	4	Dic14:2C2^2	224,108
Dic₁₄⋊₃C₂² = C₂×C₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112		Dic14:3C2^2	224,97
Dic₁₄⋊₄C₂² = C₈⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	56	4+	Dic14:4C2^2	224,103
Dic₁₄⋊₅C₂² = D₄.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	56	4	Dic14:5C2^2	224,127
Dic₁₄⋊₆C₂² = C₂×D₄.D₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112		Dic14:6C2^2	224,128
Dic₁₄⋊₇C₂² = C₂×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112		Dic14:7C2^2	224,179
Dic₁₄⋊₈C₂² = D₄⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	56	4	Dic14:8C2^2	224,180
Dic₁₄⋊₉C₂² = C₂×Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112		Dic14:9C2^2	224,181
Dic₁₄⋊₁₀C₂² = D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	56	4	Dic14:10C2^2	224,184
Dic₁₄⋊₁₁C₂² = C₂×C₄○D₂₈	φ: trivial image	112		Dic14:11C2^2	224,177
Dic₁₄⋊₁₂C₂² = D₄⋊₈D₁₄	φ: trivial image	56	4+	Dic14:12C2^2	224,185

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁C₂² = D₈⋊₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	112	4-	Dic14.1C2^2	224,107
Dic₁₄.₂C₂² = SD₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	112	4-	Dic14.2C2^2	224,110
Dic₁₄.₃C₂² = SD₁₆⋊₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.3C2^2	224,111
Dic₁₄.₄C₂² = D₇×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	112	4-	Dic14.4C2^2	224,112
Dic₁₄.₅C₂² = Q₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₄	112	4	Dic14.5C2^2	224,113
Dic₁₄.₆C₂² = D₅₆⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	2	Dic14.6C2^2	224,99
Dic₁₄.₇C₂² = C₂×Dic₂₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	224		Dic14.7C2^2	224,100
Dic₁₄.₈C₂² = C₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4-	Dic14.8C2^2	224,104
Dic₁₄.₉C₂² = C₂₈.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4	Dic14.9C2^2	224,137
Dic₁₄.₁₀C₂² = C₂×C₇⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	224		Dic14.10C2^2	224,138
Dic₁₄.₁₁C₂² = D₄.₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4	Dic14.11C2^2	224,145
Dic₁₄.₁₂C₂² = D₄.₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4-	Dic14.12C2^2	224,146
Dic₁₄.₁₃C₂² = Q₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4	Dic14.13C2^2	224,183
Dic₁₄.₁₄C₂² = D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₄	112	4-	Dic14.14C2^2	224,186

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