Extensions 1→N→G→Q→1 with N=Dic₂₈ and Q=C₄

Direct product G=N×Q with N=Dic₂₈ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₂₈		448		C4xDic28	448,232

Semidirect products G=N:Q with N=Dic₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₈⋊₁C₄ = C₅₆.₇₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	448		Dic28:1C4	448,60
Dic₂₈⋊₂C₄ = D₅₆⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	112	4	Dic28:2C4	448,75
Dic₂₈⋊₃C₄ = Dic₂₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	448		Dic28:3C4	448,250
Dic₂₈⋊₄C₄ = D₅₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	112	4	Dic28:4C4	448,251
Dic₂₈⋊₅C₄ = C₅₆.₆D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	448		Dic28:5C4	448,49
Dic₂₈⋊₆C₄ = Dic₂₈⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	448		Dic28:6C4	448,407
Dic₂₈⋊₇C₄ = D₅₆⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	112	4	Dic28:7C4	448,429
Dic₂₈⋊₈C₄ = D₅₆⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	112	4	Dic28:8C4	448,45
Dic₂₈⋊₉C₄ = Dic₂₈⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	448		Dic28:9C4	448,387
Dic₂₈⋊₁₀C₄ = D₅₆⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	112	4	Dic28:10C4	448,428
Dic₂₈⋊₁₁C₄ = D₅₆⋊₁₁C₄	φ: trivial image	112	2	Dic28:11C4	448,234

Non-split extensions G=N.Q with N=Dic₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₈.₁C₄ = D₅₆.₁C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	224	2	Dic28.1C4	448,67
Dic₂₈.₂C₄ = C₂₈.₄D₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	224	4-	Dic28.2C4	448,74
Dic₂₈.₃C₄ = Dic₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	224	4	Dic28.3C4	448,54
Dic₂₈.₄C₄ = C₅₆.₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₈	224	4-	Dic28.4C4	448,53

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁