Extensions 1→N→G→Q→1 with N=D₃₄ and Q=C₂²

Direct product G=N×Q with N=D₃₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₁₇		136		C2^3xD17	272,53

Semidirect products G=N:Q with N=D₃₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄⋊₁C₂² = C₂×D₆₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	136		D34:1C2^2	272,38
D₃₄⋊₂C₂² = D₄×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	68	4+	D34:2C2^2	272,40
D₃₄⋊₃C₂² = C₂×C₁₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	136		D34:3C2^2	272,45

Non-split extensions G=N.Q with N=D₃₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄.₁C₂² = D₆₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	136	2	D34.1C2^2	272,39
D₃₄.₂C₂² = D₄⋊₂D₁₇	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	136	4-	D34.2C2^2	272,41
D₃₄.₃C₂² = D₆₈⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	136	4+	D34.3C2^2	272,43
D₃₄.₄C₂² = C₄×C₁₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	68	4	D34.4C2^2	272,31
D₃₄.₅C₂² = C₆₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	68	4	D34.5C2^2	272,32
D₃₄.₆C₂² = D₁₇.D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	68	4+	D34.6C2^2	272,35
D₃₄.₇C₂² = C₂²×C₁₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₄	68		D34.7C2^2	272,52
D₃₄.₈C₂² = C₂×C₄×D₁₇	φ: trivial image	136		D34.8C2^2	272,37
D₃₄.₉C₂² = Q₈×D₁₇	φ: trivial image	136	4-	D34.9C2^2	272,42

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁