Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄×M₄(2)

Direct product G=N×Q with N=C₂ and Q=C₄×M₄(2)

		d	ρ	Label	ID
C₂×C₄×M₄(2)		64		C2xC4xM4(2)	128,1603

Non-split extensions G=N.Q with N=C₂ and Q=C₄×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄×M₄(2)) = C₈×M₄(2)	central extension (φ=1)	64		C2.1(C4xM4(2))	128,181
C₂.₂(C₄×M₄(2)) = C₄×C₈⋊C₄	central extension (φ=1)	128		C2.2(C4xM4(2))	128,457
C₂.₃(C₄×M₄(2)) = C₄×C₂²⋊C₈	central extension (φ=1)	64		C2.3(C4xM4(2))	128,480
C₂.₄(C₄×M₄(2)) = C₄×C₄⋊C₈	central extension (φ=1)	128		C2.4(C4xM4(2))	128,498
C₂.₅(C₄×M₄(2)) = C₈⋊₉M₄(2)	central stem extension (φ=1)	64		C2.5(C4xM4(2))	128,183
C₂.₆(C₄×M₄(2)) = C₈²⋊₁₅C₂	central stem extension (φ=1)	64		C2.6(C4xM4(2))	128,185
C₂.₇(C₄×M₄(2)) = C₈⋊₆M₄(2)	central stem extension (φ=1)	64		C2.7(C4xM4(2))	128,187
C₂.₈(C₄×M₄(2)) = C₂³.₂₈C₄²	central stem extension (φ=1)	64		C2.8(C4xM4(2))	128,460
C₂.₉(C₄×M₄(2)) = C₄³.C₂	central stem extension (φ=1)	128		C2.9(C4xM4(2))	128,477
C₂.₁₀(C₄×M₄(2)) = C₄².₃₇₈D₄	central stem extension (φ=1)	64		C2.10(C4xM4(2))	128,481
C₂.₁₁(C₄×M₄(2)) = C₂³.₁₇C₄²	central stem extension (φ=1)	64		C2.11(C4xM4(2))	128,485
C₂.₁₂(C₄×M₄(2)) = C₄³.₇C₂	central stem extension (φ=1)	128		C2.12(C4xM4(2))	128,499
C₂.₁₃(C₄×M₄(2)) = C₄⋊C₈⋊₁₄C₄	central stem extension (φ=1)	128		C2.13(C4xM4(2))	128,503

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁