Extensions 1→N→G→Q→1 with N=C₂²×C₄₂ and Q=C₂

Direct product G=N×Q with N=C₂²×C₄₂ and Q=C₂

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂²×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄₂)⋊₁C₂ = D₄×C₄₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):1C2	336,205
(C₂²×C₄₂)⋊₂C₂ = C₂×C₂₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):2C2	336,203
(C₂²×C₄₂)⋊₃C₂ = C₂³×D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):3C2	336,227
(C₂²×C₄₂)⋊₄C₂ = C₆×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):4C2	336,183
(C₂²×C₄₂)⋊₅C₂ = D₇×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):5C2	336,225
(C₂²×C₄₂)⋊₆C₂ = C₁₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):6C2	336,193
(C₂²×C₄₂)⋊₇C₂ = S₃×C₂²×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42):7C2	336,226

Non-split extensions G=N.Q with N=C₂²×C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄₂).₁C₂ = C₂²⋊C₄×C₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42).1C2	336,107
(C₂²×C₄₂).₂C₂ = C₄₂.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42).2C2	336,105
(C₂²×C₄₂).₃C₂ = C₂²×Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	336		(C2^2xC42).3C2	336,202
(C₂²×C₄₂).₄C₂ = C₃×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42).4C2	336,73
(C₂²×C₄₂).₅C₂ = C₂×C₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	336		(C2^2xC42).5C2	336,182
(C₂²×C₄₂).₆C₂ = C₇×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	168		(C2^2xC42).6C2	336,89
(C₂²×C₄₂).₇C₂ = Dic₃×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₄₂	336		(C2^2xC42).7C2	336,192

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