Extensions 1→N→G→Q→1 with N=C₄² and Q=D₇

Direct product G=N×Q with N=C₄² and Q=D₇

		d	ρ	Label	ID
D₇×C₄²		112		D7xC4^2	224,66

Semidirect products G=N:Q with N=C₄² and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁D₇ = C₄²⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:1D7	224,67
C₄²⋊₂D₇ = C₄²⋊₂D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:2D7	224,71
C₄²⋊₃D₇ = Dic₁₄⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	56	2	C4^2:3D7	224,11
C₄²⋊₄D₇ = C₄×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:4D7	224,68
C₄²⋊₅D₇ = C₂₈⋊₄D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:5D7	224,69
C₄²⋊₆D₇ = C₄.D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	112		C4^2:6D7	224,70

Non-split extensions G=N.Q with N=C₄² and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₇ = C₄².D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.1D7	224,9
C₄².₂D₇ = C₂₈⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.2D7	224,10
C₄².₃D₇ = C₄×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.3D7	224,63
C₄².₄D₇ = C₂₈⋊₂Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.4D7	224,64
C₄².₅D₇ = C₂₈.₆Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄²	224		C4^2.5D7	224,65
C₄².₆D₇ = C₄×C₇⋊C₈	central extension (φ=1)	224		C4^2.6D7	224,8

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