Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂²

Direct product G=N×Q with N=Dic₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₇		112		C2^2xDic7	112,35

Semidirect products G=N:Q with N=Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁C₂² = D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₇	28	4+	Dic7:1C2^2	112,31
Dic₇⋊₂C₂² = C₂×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₇	56		Dic7:2C2^2	112,36
Dic₇⋊₃C₂² = C₂×C₄×D₇	φ: trivial image	56		Dic7:3C2^2	112,28

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁C₂² = C₂×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₇	112		Dic7.1C2^2	112,27
Dic₇.₂C₂² = C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₇	56	2	Dic7.2C2^2	112,30
Dic₇.₃C₂² = Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₇	56	4-	Dic7.3C2^2	112,33
Dic₇.₄C₂² = D₄⋊₂D₇	φ: trivial image	56	4-	Dic7.4C2^2	112,32
Dic₇.₅C₂² = Q₈⋊₂D₇	φ: trivial image	56	4+	Dic7.5C2^2	112,34

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