Extensions 1→N→G→Q→1 with N=C₂×C₁₀₀ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₀₀ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₂×C₁₀₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀₀)⋊₁C₂ = D₅₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200		(C2xC100):1C2	400,14
(C₂×C₁₀₀)⋊₂C₂ = C₂²⋊C₄×C₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200		(C2xC100):2C2	400,21
(C₂×C₁₀₀)⋊₃C₂ = C₂×D₁₀₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200		(C2xC100):3C2	400,37
(C₂×C₁₀₀)⋊₄C₂ = D₁₀₀⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200	2	(C2xC100):4C2	400,38
(C₂×C₁₀₀)⋊₅C₂ = C₂×C₄×D₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200		(C2xC100):5C2	400,36
(C₂×C₁₀₀)⋊₆C₂ = D₄×C₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200		(C2xC100):6C2	400,46
(C₂×C₁₀₀)⋊₇C₂ = C₄○D₄×C₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200	2	(C2xC100):7C2	400,48

Non-split extensions G=N.Q with N=C₂×C₁₀₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀₀).₁C₂ = C₅₀.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).1C2	400,12
(C₂×C₁₀₀).₂C₂ = C₄⋊Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).2C2	400,13
(C₂×C₁₀₀).₃C₂ = C₂×Dic₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).3C2	400,35
(C₂×C₁₀₀).₄C₂ = C₄.Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200	2	(C2xC100).4C2	400,10
(C₂×C₁₀₀).₅C₂ = C₂×C₂₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).5C2	400,9
(C₂×C₁₀₀).₆C₂ = C₄×Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).6C2	400,11
(C₂×C₁₀₀).₇C₂ = C₄⋊C₄×C₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).7C2	400,22
(C₂×C₁₀₀).₈C₂ = M₄(2)×C₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	200	2	(C2xC100).8C2	400,24
(C₂×C₁₀₀).₉C₂ = Q₈×C₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₀	400		(C2xC100).9C2	400,47

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