Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂₈

Direct product G=N×Q with N=C₄² and Q=C₂₈

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

Semidirect products G=N:Q with N=C₄² and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₂₈ = C₇×C₄.₉C₄²	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2:1C28	448,141
C₄²⋊₂C₂₈ = C₇×C₄²⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	56	4	C4^2:2C28	448,157
C₄²⋊₃C₂₈ = C₇×C₄²⋊₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2:3C28	448,158
C₄²⋊₄C₂₈ = C₇×C₄²⋊₄C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:4C28	448,784
C₄²⋊₅C₂₈ = C₇×C₄²⋊₅C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:5C28	448,791
C₄²⋊₆C₂₈ = C₇×C₄²⋊₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	112		C4^2:6C28	448,143
C₄²⋊₇C₂₈ = C₄⋊C₄×C₂₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:7C28	448,786
C₄²⋊₈C₂₈ = C₇×C₄²⋊₈C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:8C28	448,790
C₄²⋊₉C₂₈ = C₇×C₄²⋊₉C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:9C28	448,792

Non-split extensions G=N.Q with N=C₄² and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₂₈ = C₇×C₁₆⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.1C28	448,151
C₄².₂C₂₈ = C₇×C₄².C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.2C28	448,159
C₄².₃C₂₈ = C₇×C₄².₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.3C28	448,160
C₄².₄C₂₈ = C₇×C₁₆⋊₅C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.4C28	448,150
C₄².₅C₂₈ = C₁₄×C₈⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.5C28	448,811
C₄².₆C₂₈ = C₇×C₄².₁₂C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.6C28	448,839
C₄².₇C₂₈ = C₇×C₄⋊C₁₆	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.7C28	448,167
C₄².₈C₂₈ = C₇×C₈.C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	112	2	C4^2.8C28	448,168
C₄².₉C₂₈ = M₄(2)×C₂₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.9C28	448,812
C₄².₁₀C₂₈ = C₁₄×C₄⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.10C28	448,830
C₄².₁₁C₂₈ = C₇×C₄⋊M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.11C28	448,831
C₄².₁₂C₂₈ = C₇×C₄².₆C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.12C28	448,840

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁