Extensions 1→N→G→Q→1 with N=C₂ and Q=C₇×C₄≀C₂

Direct product G=N×Q with N=C₂ and Q=C₇×C₄≀C₂

		d	ρ	Label	ID
C₁₄×C₄≀C₂		112		C14xC4wrC2	448,828

Non-split extensions G=N.Q with N=C₂ and Q=C₇×C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₇×C₄≀C₂) = C₇×D₄⋊C₈	central extension (φ=1)	224		C2.1(C7xC4wrC2)	448,129
C₂.₂(C₇×C₄≀C₂) = C₇×Q₈⋊C₈	central extension (φ=1)	448		C2.2(C7xC4wrC2)	448,130
C₂.₃(C₇×C₄≀C₂) = C₇×C₄²⋊₆C₄	central extension (φ=1)	112		C2.3(C7xC4wrC2)	448,143
C₂.₄(C₇×C₄≀C₂) = C₇×C₂².SD₁₆	central stem extension (φ=1)	112		C2.4(C7xC4wrC2)	448,131
C₂.₅(C₇×C₄≀C₂) = C₇×C₂³.₃₁D₄	central stem extension (φ=1)	112		C2.5(C7xC4wrC2)	448,132
C₂.₆(C₇×C₄≀C₂) = C₇×C₄².C₂²	central stem extension (φ=1)	224		C2.6(C7xC4wrC2)	448,133
C₂.₇(C₇×C₄≀C₂) = C₇×C₄².₂C₂²	central stem extension (φ=1)	448		C2.7(C7xC4wrC2)	448,134

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁