Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×C₂₈

Direct product G=N×Q with N=C₄ and Q=C₄×C₂₈

		d	ρ	Label	ID
C₄²×C₂₈		448		C4^2xC28	448,782

Semidirect products G=N:Q with N=C₄ and Q=C₄×C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄×C₂₈) = C₄⋊C₄×C₂₈	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4:(C4xC28)	448,786

Non-split extensions G=N.Q with N=C₄ and Q=C₄×C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×C₂₈) = C₇×C₄²⋊₆C₄	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	112		C4.1(C4xC28)	448,143
C₄.₂(C₄×C₂₈) = C₇×C₂².₄Q₁₆	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.2(C4xC28)	448,144
C₄.₃(C₄×C₂₈) = C₇×C₄.C₄²	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.3(C4xC28)	448,145
C₄.₄(C₄×C₂₈) = M₄(2)×C₂₈	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.4(C4xC28)	448,812
C₄.₅(C₄×C₂₈) = C₇×C₈○₂M₄(2)	φ: C₄×C₂₈/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.5(C4xC28)	448,813
C₄.₆(C₄×C₂₈) = C₇×C₁₆⋊₅C₄	central extension (φ=1)	448		C4.6(C4xC28)	448,150
C₄.₇(C₄×C₂₈) = C₇×C₄²⋊₄C₄	central extension (φ=1)	448		C4.7(C4xC28)	448,784
C₄.₈(C₄×C₂₈) = C₁₄×C₈⋊C₄	central extension (φ=1)	448		C4.8(C4xC28)	448,811
C₄.₉(C₄×C₂₈) = C₇×C₄.₉C₄²	central stem extension (φ=1)	112	4	C4.9(C4xC28)	448,141
C₄.₁₀(C₄×C₂₈) = C₇×C₄.₁₀C₄²	central stem extension (φ=1)	112	4	C4.10(C4xC28)	448,142
C₄.₁₁(C₄×C₂₈) = C₇×C₁₆⋊C₄	central stem extension (φ=1)	112	4	C4.11(C4xC28)	448,151

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁