Extensions 1→N→G→Q→1 with N=C₈₆ and Q=C₂²

Direct product G=N×Q with N=C₈₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈₆		344		C2^2xC86	344,12

Semidirect products G=N:Q with N=C₈₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₆⋊C₂² = C₂²×D₄₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	172		C86:C2^2	344,11

Non-split extensions G=N.Q with N=C₈₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₆.₁C₂² = Dic₈₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	344	2-	C86.1C2^2	344,3
C₈₆.₂C₂² = C₄×D₄₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	172	2	C86.2C2^2	344,4
C₈₆.₃C₂² = D₁₇₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	172	2+	C86.3C2^2	344,5
C₈₆.₄C₂² = C₂×Dic₄₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	344		C86.4C2^2	344,6
C₈₆.₅C₂² = C₄₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₆	172	2	C86.5C2^2	344,7
C₈₆.₆C₂² = D₄×C₄₃	central extension (φ=1)	172	2	C86.6C2^2	344,9
C₈₆.₇C₂² = Q₈×C₄₃	central extension (φ=1)	344	2	C86.7C2^2	344,10

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