Extensions 1→N→G→Q→1 with N=C₃₄ and Q=C₂³

Direct product G=NxQ with N=C₃₄ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₃₄		272		C2^3xC34	272,54

Semidirect products G=N:Q with N=C₃₄ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄:C₂³ = C₂³xD₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136		C34:C2^3	272,53

Non-split extensions G=N.Q with N=C₃₄ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.₁C₂³ = C₂xDic₃₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	272		C34.1C2^3	272,36
C₃₄.₂C₂³ = C₂xC₄xD₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136		C34.2C2^3	272,37
C₃₄.₃C₂³ = C₂xD₆₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136		C34.3C2^3	272,38
C₃₄.₄C₂³ = D₆₈:₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136	2	C34.4C2^3	272,39
C₃₄.₅C₂³ = D₄xD₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	68	4+	C34.5C2^3	272,40
C₃₄.₆C₂³ = D₄:₂D₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136	4-	C34.6C2^3	272,41
C₃₄.₇C₂³ = Q₈xD₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136	4-	C34.7C2^3	272,42
C₃₄.₈C₂³ = D₆₈:C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136	4+	C34.8C2^3	272,43
C₃₄.₉C₂³ = C₂²xDic₁₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	272		C34.9C2^3	272,44
C₃₄.₁₀C₂³ = C₂xC₁₇:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₄	136		C34.10C2^3	272,45
C₃₄.₁₁C₂³ = D₄xC₃₄	central extension (φ=1)	136		C34.11C2^3	272,47
C₃₄.₁₂C₂³ = Q₈xC₃₄	central extension (φ=1)	272		C34.12C2^3	272,48
C₃₄.₁₃C₂³ = C₄oD₄xC₁₇	central extension (φ=1)	136	2	C34.13C2^3	272,49

׿

x

:

Z

F

o

wr

Q

<