Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=Dic₁₃

Direct product G=N×Q with N=C₂×C₄ and Q=Dic₁₃

		d	ρ	Label	ID
C₂×C₄×Dic₁₃		416		C2xC4xDic13	416,143

Semidirect products G=N:Q with N=C₂×C₄ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₁₃ = C₂³⋊Dic₁₃	φ: Dic₁₃/C₁₃ → C₄ ⊆ Aut C₂×C₄	104	4	(C2xC4):Dic13	416,41
(C₂×C₄)⋊₂Dic₁₃ = C₂₆.₁₀C₄²	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4):2Dic13	416,38
(C₂×C₄)⋊₃Dic₁₃ = C₂×C₅₂⋊₃C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4):3Dic13	416,146
(C₂×C₄)⋊₄Dic₁₃ = C₂³.₂₁D₂₆	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4):4Dic13	416,147

Non-split extensions G=N.Q with N=C₂×C₄ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₁₃ = C₅₂.₁₀D₄	φ: Dic₁₃/C₁₃ → C₄ ⊆ Aut C₂×C₄	208	4	(C2xC4).Dic13	416,43
(C₂×C₄).₂Dic₁₃ = C₂₆.₇C₄²	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4).2Dic13	416,10
(C₂×C₄).₃Dic₁₃ = C₅₂⋊₃C₈	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4).3Dic13	416,11
(C₂×C₄).₄Dic₁₃ = C₅₂.₅₅D₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).4Dic13	416,37
(C₂×C₄).₅Dic₁₃ = C₅₂.₄C₈	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	208	2	(C2xC4).5Dic13	416,19
(C₂×C₄).₆Dic₁₃ = C₂×C₅₂.₄C₄	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).6Dic13	416,142
(C₂×C₄).₇Dic₁₃ = C₄×C₁₃⋊₂C₈	central extension (φ=1)	416		(C2xC4).7Dic13	416,9
(C₂×C₄).₈Dic₁₃ = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		(C2xC4).8Dic13	416,18
(C₂×C₄).₉Dic₁₃ = C₂²×C₁₃⋊₂C₈	central extension (φ=1)	416		(C2xC4).9Dic13	416,141

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁