Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂×C₄

Direct product G=N×Q with N=Dic₇ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₄×Dic₇		224		C2xC4xDic7	224,117

Semidirect products G=N:Q with N=Dic₇ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁(C₂×C₄) = Dic₇⋊₄D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	112		Dic7:1(C2xC4)	224,76
Dic₇⋊₂(C₂×C₄) = C₄×C₇⋊D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	112		Dic7:2(C2xC4)	224,123
Dic₇⋊₃(C₂×C₄) = D₇×C₄⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7:3(C2xC4)	224,86
Dic₇⋊₄(C₂×C₄) = C₂×Dic₇⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₇	224		Dic7:4(C2xC4)	224,118
Dic₇⋊₅(C₂×C₄) = D₇×C₄²	φ: trivial image	112		Dic7:5(C2xC4)	224,66

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁(C₂×C₄) = C₄×Dic₁₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	224		Dic7.1(C2xC4)	224,63
Dic₇.₂(C₂×C₄) = Dic₇⋊₃Q₈	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	224		Dic7.2(C2xC4)	224,82
Dic₇.₃(C₂×C₄) = D₂₈.₂C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	112	2	Dic7.3(C2xC4)	224,96
Dic₇.₄(C₂×C₄) = D₂₈.C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₇	112	4	Dic7.4(C2xC4)	224,102
Dic₇.₅(C₂×C₄) = C₄²⋊D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.5(C2xC4)	224,67
Dic₇.₆(C₂×C₄) = C₂×C₈⋊D₇	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.6(C2xC4)	224,95
Dic₇.₇(C₂×C₄) = D₇×M₄(2)	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₇	56	4	Dic7.7(C2xC4)	224,101
Dic₇.₈(C₂×C₄) = C₂³.₁₁D₁₄	φ: trivial image	112		Dic7.8(C2xC4)	224,72
Dic₇.₉(C₂×C₄) = C₄⋊C₄⋊₇D₇	φ: trivial image	112		Dic7.9(C2xC4)	224,87
Dic₇.₁₀(C₂×C₄) = D₇×C₂×C₈	φ: trivial image	112		Dic7.10(C2xC4)	224,94

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