Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₇

Direct product G=N×Q with N=C₄ and Q=Dic₇

		d	ρ	Label	ID
C₄×Dic₇		112		C4xDic7	112,10

Semidirect products G=N:Q with N=C₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₇ = C₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄	112		C4:Dic7	112,12

Non-split extensions G=N.Q with N=C₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₇ = C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄	56	2	C4.Dic7	112,9
C₄.₂Dic₇ = C₇⋊C₁₆	central extension (φ=1)	112	2	C4.2Dic7	112,1
C₄.₃Dic₇ = C₂×C₇⋊C₈	central extension (φ=1)	112		C4.3Dic7	112,8

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=Dic7