Extensions 1→N→G→Q→1 with N=C₂₀₄ and Q=C₂

Direct product G=N×Q with N=C₂₀₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀₄		408		C2xC204	408,30

Semidirect products G=N:Q with N=C₂₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀₄⋊₁C₂ = D₂₀₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2+	C204:1C2	408,27
C₂₀₄⋊₂C₂ = C₄×D₅₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:2C2	408,26
C₂₀₄⋊₃C₂ = C₃×D₆₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:3C2	408,17
C₂₀₄⋊₄C₂ = C₁₂×D₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:4C2	408,16
C₂₀₄⋊₅C₂ = C₁₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:5C2	408,22
C₂₀₄⋊₆C₂ = S₃×C₆₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:6C2	408,21
C₂₀₄⋊₇C₂ = D₄×C₅₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	204	2	C204:7C2	408,31

Non-split extensions G=N.Q with N=C₂₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀₄.₁C₂ = Dic₁₀₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2-	C204.1C2	408,25
C₂₀₄.₂C₂ = C₅₁⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.2C2	408,3
C₂₀₄.₃C₂ = C₃×Dic₃₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.3C2	408,15
C₂₀₄.₄C₂ = C₃×C₁₇⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.4C2	408,2
C₂₀₄.₅C₂ = C₁₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.5C2	408,20
C₂₀₄.₆C₂ = C₁₇×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.6C2	408,1
C₂₀₄.₇C₂ = Q₈×C₅₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀₄	408	2	C204.7C2	408,32

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁