Extensions 1→N→G→Q→1 with N=C₃₄ and Q=C₂²

Direct product G=N×Q with N=C₃₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃₄		136		C2^2xC34	136,15

Semidirect products G=N:Q with N=C₃₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊C₂² = C₂²×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	68		C34:C2^2	136,14

Non-split extensions G=N.Q with N=C₃₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.₁C₂² = Dic₃₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	136	2-	C34.1C2^2	136,4
C₃₄.₂C₂² = C₄×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	68	2	C34.2C2^2	136,5
C₃₄.₃C₂² = D₆₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	68	2+	C34.3C2^2	136,6
C₃₄.₄C₂² = C₂×Dic₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	136		C34.4C2^2	136,7
C₃₄.₅C₂² = C₁₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₄	68	2	C34.5C2^2	136,8
C₃₄.₆C₂² = D₄×C₁₇	central extension (φ=1)	68	2	C34.6C2^2	136,10
C₃₄.₇C₂² = Q₈×C₁₇	central extension (φ=1)	136	2	C34.7C2^2	136,11

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