Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=C₂×C₄

Direct product G=N×Q with N=C₂×F₅ and Q=C₂×C₄

		d	ρ	Label	ID
C₂²×C₄×F₅		80		C2^2xC4xF5	320,1590

Semidirect products G=N:Q with N=C₂×F₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊₁(C₂×C₄) = C₂²⋊C₄×F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	40		(C2xF5):1(C2xC4)	320,1036
(C₂×F₅)⋊₂(C₂×C₄) = C₄×C₂²⋊F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5):2(C2xC4)	320,1101
(C₂×F₅)⋊₃(C₂×C₄) = C₂×D₁₀.₃Q₈	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5):3(C2xC4)	320,1100

Non-split extensions G=N.Q with N=C₂×F₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁(C₂×C₄) = C₄×C₄⋊F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5).1(C2xC4)	320,1025
(C₂×F₅).₂(C₂×C₄) = C₄⋊C₄×F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	80		(C2xF5).2(C2xC4)	320,1048
(C₂×F₅).₃(C₂×C₄) = C₂₀.₁₂C₄²	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	80	4	(C2xF5).3(C2xC4)	320,1056
(C₂×F₅).₄(C₂×C₄) = M₄(2)⋊₅F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₂×F₅	80	8	(C2xF5).4(C2xC4)	320,1066
(C₂×F₅).₅(C₂×C₄) = C₄²⋊₄F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).5(C2xC4)	320,1024
(C₂×F₅).₆(C₂×C₄) = C₂×C₈⋊F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₂×F₅	80		(C2xF5).6(C2xC4)	320,1055
(C₂×F₅).₇(C₂×C₄) = M₄(2)×F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₂×F₅	40	8	(C2xF5).7(C2xC4)	320,1064
(C₂×F₅).₈(C₂×C₄) = C₄²×F₅	φ: trivial image	80		(C2xF5).8(C2xC4)	320,1023
(C₂×F₅).₉(C₂×C₄) = C₂×C₈×F₅	φ: trivial image	80		(C2xF5).9(C2xC4)	320,1054

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