Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×C₇⋊C₃

Direct product G=N×Q with N=C₄ and Q=C₄×C₇⋊C₃

		d	ρ	Label	ID
C₄²×C₇⋊C₃		112		C4^2xC7:C3	336,48

Semidirect products G=N:Q with N=C₄ and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄×C₇⋊C₃) = C₄⋊C₄×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₄	112		C4:(C4xC7:C3)	336,50

Non-split extensions G=N.Q with N=C₄ and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₄×C₇⋊C₃) = M₄(2)×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₄	56	6	C4.(C4xC7:C3)	336,52
C₄.₂(C₄×C₇⋊C₃) = C₁₆×C₇⋊C₃	central extension (φ=1)	112	3	C4.2(C4xC7:C3)	336,2
C₄.₃(C₄×C₇⋊C₃) = C₂×C₈×C₇⋊C₃	central extension (φ=1)	112		C4.3(C4xC7:C3)	336,51

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C4×C7⋊C3