Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₇⋊C₈

Direct product G=N×Q with N=C₂ and Q=C₂×C₇⋊C₈

		d	ρ	Label	ID
C₂²×C₇⋊C₈		224		C2^2xC7:C8	224,115

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₇⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₇⋊C₈) = C₄×C₇⋊C₈	central extension (φ=1)	224		C2.1(C2xC7:C8)	224,8
C₂.₂(C₂×C₇⋊C₈) = C₂×C₇⋊C₁₆	central extension (φ=1)	224		C2.2(C2xC7:C8)	224,17
C₂.₃(C₂×C₇⋊C₈) = C₂₈⋊C₈	central stem extension (φ=1)	224		C2.3(C2xC7:C8)	224,10
C₂.₄(C₂×C₇⋊C₈) = C₂₈.C₈	central stem extension (φ=1)	112	2	C2.4(C2xC7:C8)	224,18
C₂.₅(C₂×C₇⋊C₈) = C₂₈.₅₅D₄	central stem extension (φ=1)	112		C2.5(C2xC7:C8)	224,36

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁