Extensions 1→N→G→Q→1 with N=C₈₂ and Q=C₂²

Direct product G=N×Q with N=C₈₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈₂		328		C2^2xC82	328,15

Semidirect products G=N:Q with N=C₈₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂⋊C₂² = C₂²×D₄₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	164		C82:C2^2	328,14

Non-split extensions G=N.Q with N=C₈₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂.₁C₂² = Dic₈₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	328	2-	C82.1C2^2	328,4
C₈₂.₂C₂² = C₄×D₄₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	164	2	C82.2C2^2	328,5
C₈₂.₃C₂² = D₁₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	164	2+	C82.3C2^2	328,6
C₈₂.₄C₂² = C₂×Dic₄₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	328		C82.4C2^2	328,7
C₈₂.₅C₂² = C₄₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₂	164	2	C82.5C2^2	328,8
C₈₂.₆C₂² = D₄×C₄₁	central extension (φ=1)	164	2	C82.6C2^2	328,10
C₈₂.₇C₂² = Q₈×C₄₁	central extension (φ=1)	328	2	C82.7C2^2	328,11

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