Extensions 1→N→G→Q→1 with N=C₈₂ and Q=C₄

Direct product G=N×Q with N=C₈₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₁₆₄		328		C2xC164	328,9

Semidirect products G=N:Q with N=C₈₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂⋊C₄ = C₂×C₄₁⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₂	82	4+	C82:C4	328,13
C₈₂⋊₂C₄ = C₂×Dic₄₁	φ: C₄/C₂ → C₂ ⊆ Aut C₈₂	328		C82:2C4	328,7

Non-split extensions G=N.Q with N=C₈₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂.C₄ = C₄₁⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₈₂	328	4-	C82.C4	328,3
C₈₂.₂C₄ = C₄₁⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₂	328	2	C82.2C4	328,1

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Extensions 1→N→G→Q→1 with N=C82 and Q=C4