Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄₄⋊₅C₂

Direct product G=N×Q with N=C₂ and Q=D₄₄⋊₅C₂

		d	ρ	Label	ID
C₂×D₄₄⋊₅C₂		176		C2xD44:5C2	352,176

Non-split extensions G=N.Q with N=C₂ and Q=D₄₄⋊₅C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₄₄⋊₅C₂) = C₄×Dic₂₂	central extension (φ=1)	352		C2.1(D44:5C2)	352,63
C₂.₂(D₄₄⋊₅C₂) = C₄²⋊D₁₁	central extension (φ=1)	176		C2.2(D44:5C2)	352,67
C₂.₃(D₄₄⋊₅C₂) = C₄×D₄₄	central extension (φ=1)	176		C2.3(D44:5C2)	352,68
C₂.₄(D₄₄⋊₅C₂) = C₂³.₂₁D₂₂	central extension (φ=1)	176		C2.4(D44:5C2)	352,121
C₂.₅(D₄₄⋊₅C₂) = C₄×C₁₁⋊D₄	central extension (φ=1)	176		C2.5(D44:5C2)	352,123
C₂.₆(D₄₄⋊₅C₂) = C₄₄.₆Q₈	central stem extension (φ=1)	352		C2.6(D44:5C2)	352,65
C₂.₇(D₄₄⋊₅C₂) = C₄.D₄₄	central stem extension (φ=1)	176		C2.7(D44:5C2)	352,70
C₂.₈(D₄₄⋊₅C₂) = C₄²⋊₂D₁₁	central stem extension (φ=1)	176		C2.8(D44:5C2)	352,71
C₂.₉(D₄₄⋊₅C₂) = C₂³.D₂₂	central stem extension (φ=1)	176		C2.9(D44:5C2)	352,74
C₂.₁₀(D₄₄⋊₅C₂) = D₂₂.D₄	central stem extension (φ=1)	176		C2.10(D44:5C2)	352,78
C₂.₁₁(D₄₄⋊₅C₂) = D₂₂⋊D₄	central stem extension (φ=1)	176		C2.11(D44:5C2)	352,79
C₂.₁₂(D₄₄⋊₅C₂) = Dic₁₁.D₄	central stem extension (φ=1)	176		C2.12(D44:5C2)	352,80
C₂.₁₃(D₄₄⋊₅C₂) = Dic₁₁.Q₈	central stem extension (φ=1)	352		C2.13(D44:5C2)	352,84
C₂.₁₄(D₄₄⋊₅C₂) = D₂₂.₅D₄	central stem extension (φ=1)	176		C2.14(D44:5C2)	352,89
C₂.₁₅(D₄₄⋊₅C₂) = D₂₂⋊Q₈	central stem extension (φ=1)	176		C2.15(D44:5C2)	352,91
C₂.₁₆(D₄₄⋊₅C₂) = C₄⋊C₄⋊D₁₁	central stem extension (φ=1)	176		C2.16(D44:5C2)	352,93
C₂.₁₇(D₄₄⋊₅C₂) = C₄₄.₄₈D₄	central stem extension (φ=1)	176		C2.17(D44:5C2)	352,119
C₂.₁₈(D₄₄⋊₅C₂) = C₂³.₂₃D₂₂	central stem extension (φ=1)	176		C2.18(D44:5C2)	352,124
C₂.₁₉(D₄₄⋊₅C₂) = C₄₄⋊₇D₄	central stem extension (φ=1)	176		C2.19(D44:5C2)	352,125

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁