Extensions 1→N→G→Q→1 with N=C₁₀₆ and Q=C₂²

Direct product G=N×Q with N=C₁₀₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₀₆		424		C2^2xC106	424,14

Semidirect products G=N:Q with N=C₁₀₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₆⋊C₂² = C₂²×D₅₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	212		C106:C2^2	424,13

Non-split extensions G=N.Q with N=C₁₀₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₆.₁C₂² = Dic₁₀₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	424	2-	C106.1C2^2	424,4
C₁₀₆.₂C₂² = C₄×D₅₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	212	2	C106.2C2^2	424,5
C₁₀₆.₃C₂² = D₂₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	212	2+	C106.3C2^2	424,6
C₁₀₆.₄C₂² = C₂×Dic₅₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	424		C106.4C2^2	424,7
C₁₀₆.₅C₂² = C₅₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₆	212	2	C106.5C2^2	424,8
C₁₀₆.₆C₂² = D₄×C₅₃	central extension (φ=1)	212	2	C106.6C2^2	424,10
C₁₀₆.₇C₂² = Q₈×C₅₃	central extension (φ=1)	424	2	C106.7C2^2	424,11

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