Extensions 1→N→G→Q→1 with N=C₂²×D₂₁ and Q=C₂

Direct product G=N×Q with N=C₂²×D₂₁ and Q=C₂

		d	ρ	Label	ID
C₂³×D₂₁		168		C2^3xD21	336,227

Semidirect products G=N:Q with N=C₂²×D₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₁)⋊₁C₂ = C₂×D₈₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21):1C2	336,196
(C₂²×D₂₁)⋊₂C₂ = D₄×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	84	4+	(C2^2xD21):2C2	336,198
(C₂²×D₂₁)⋊₃C₂ = C₂×C₂₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21):3C2	336,203
(C₂²×D₂₁)⋊₄C₂ = C₂×C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21):4C2	336,158
(C₂²×D₂₁)⋊₅C₂ = C₂×C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21):5C2	336,159
(C₂²×D₂₁)⋊₆C₂ = D₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	84	4+	(C2^2xD21):6C2	336,163
(C₂²×D₂₁)⋊₇C₂ = C₂²×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	84		(C2^2xD21):7C2	336,219

Non-split extensions G=N.Q with N=C₂²×D₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₂₁).₁C₂ = C₂.D₈₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21).1C2	336,100
(C₂²×D₂₁).₂C₂ = D₄₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21).2C2	336,44
(C₂²×D₂₁).₃C₂ = C₂×D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₂₁	168		(C2^2xD21).3C2	336,156
(C₂²×D₂₁).₄C₂ = C₂×C₄×D₂₁	φ: trivial image	168		(C2^2xD21).4C2	336,195

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