Extensions 1→N→G→Q→1 with N=Dic₁₇ and Q=C₂²

Direct product G=N×Q with N=Dic₁₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₁₇		272		C2^2xDic17	272,44

Semidirect products G=N:Q with N=Dic₁₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇⋊₁C₂² = D₄×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	68	4+	Dic17:1C2^2	272,40
Dic₁₇⋊₂C₂² = C₂×C₁₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136		Dic17:2C2^2	272,45
Dic₁₇⋊₃C₂² = C₂×C₄×D₁₇	φ: trivial image	136		Dic17:3C2^2	272,37

Non-split extensions G=N.Q with N=Dic₁₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇.₁C₂² = C₂×Dic₃₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	272		Dic17.1C2^2	272,36
Dic₁₇.₂C₂² = D₆₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136	2	Dic17.2C2^2	272,39
Dic₁₇.₃C₂² = Q₈×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136	4-	Dic17.3C2^2	272,42
Dic₁₇.₄C₂² = C₆₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136	4	Dic17.4C2^2	272,29
Dic₁₇.₅C₂² = D₃₄.₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136	4	Dic17.5C2^2	272,30
Dic₁₇.₆C₂² = C₂×C₁₇⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	272		Dic17.6C2^2	272,33
Dic₁₇.₇C₂² = C₁₇⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₇	136	4-	Dic17.7C2^2	272,34
Dic₁₇.₈C₂² = D₄⋊₂D₁₇	φ: trivial image	136	4-	Dic17.8C2^2	272,41
Dic₁₇.₉C₂² = D₆₈⋊C₂	φ: trivial image	136	4+	Dic17.9C2^2	272,43

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁