Extensions 1→N→G→Q→1 with N=C₁₀₆ and Q=C₄

Direct product G=N×Q with N=C₁₀₆ and Q=C₄

		d	ρ	Label	ID
C₂×C₂₁₂		424		C2xC212	424,9

Semidirect products G=N:Q with N=C₁₀₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₆⋊C₄ = C₂×C₅₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₆	106	4+	C106:C4	424,12
C₁₀₆⋊₂C₄ = C₂×Dic₅₃	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₆	424		C106:2C4	424,7

Non-split extensions G=N.Q with N=C₁₀₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₆.C₄ = C₅₃⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₆	424	4-	C106.C4	424,3
C₁₀₆.₂C₄ = C₅₃⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₆	424	2	C106.2C4	424,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C106 and Q=C4