Extensions 1→N→G→Q→1 with N=C₃³⋊₇D₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₇D₄		72		C2xC3^3:7D4	432,681

Semidirect products G=N:Q with N=C₃³⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₇D₄⋊₁C₂ = S₃×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	24	8+	C3^3:7D4:1C2	432,598
C₃³⋊₇D₄⋊₂C₂ = (S₃×C₆).D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	24	8+	C3^3:7D4:2C2	432,606
C₃³⋊₇D₄⋊₃C₂ = C₃⋊S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	72		C3^3:7D4:3C2	432,672
C₃³⋊₇D₄⋊₄C₂ = C₆².₉₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	72		C3^3:7D4:4C2	432,675
C₃³⋊₇D₄⋊₅C₂ = D₆⋊₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	24	8+	C3^3:7D4:5C2	432,599
C₃³⋊₇D₄⋊₆C₂ = D₆.₃S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	24	8+	C3^3:7D4:6C2	432,609
C₃³⋊₇D₄⋊₇C₂ = D₁₂⋊(C₃⋊S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	72		C3^3:7D4:7C2	432,662
C₃³⋊₇D₄⋊₈C₂ = C₁₂.₅₈S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	72		C3^3:7D4:8C2	432,669
C₃³⋊₇D₄⋊₉C₂ = S₃×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	72		C3^3:7D4:9C2	432,684
C₃³⋊₇D₄⋊₁₀C₂ = C₆²⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇D₄	36		C3^3:7D4:10C2	432,686
C₃³⋊₇D₄⋊₁₁C₂ = C₁₂.₇₃S₃²	φ: trivial image	72		C3^3:7D4:11C2	432,667

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁