Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄²⋊₄C₄

Direct product G=N×Q with N=C₂ and Q=C₄²⋊₄C₄

		d	ρ	Label	ID
C₂×C₄²⋊₄C₄		128		C2xC4^2:4C4	128,999

Non-split extensions G=N.Q with N=C₂ and Q=C₄²⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄²⋊₄C₄) = C₄×C₂.C₄²	central extension (φ=1)	128		C2.1(C4^2:4C4)	128,164
C₂.₂(C₄²⋊₄C₄) = C₄²⋊₄C₈	central extension (φ=1)	128		C2.2(C4^2:4C4)	128,476
C₂.₃(C₄²⋊₄C₄) = C₂⁴.₆₂₄C₂³	central stem extension (φ=1)	128		C2.3(C4^2:4C4)	128,166
C₂.₄(C₄²⋊₄C₄) = C₄³.C₂	central stem extension (φ=1)	128		C2.4(C4^2:4C4)	128,477
C₂.₅(C₄²⋊₄C₄) = (C₄×C₈)⋊₁₂C₄	central stem extension (φ=1)	128		C2.5(C4^2:4C4)	128,478
C₂.₆(C₄²⋊₄C₄) = C₈.₁₆C₄²	central stem extension (φ=1)	32	4	C2.6(C4^2:4C4)	128,479

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁