Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₃×C₆

Direct product G=N×Q with N=C₄○D₄ and Q=C₃×C₆

		d	ρ	Label	ID
C₄○D₄×C₃×C₆		144		C4oD4xC3xC6	288,1021

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊(C₃×C₆) = C₃×D₄.A₄	φ: C₃×C₆/C₃ → C₆ ⊆ Out C₄○D₄	48	4	C4oD4:(C3xC6)	288,985
C₄○D₄⋊₂(C₃×C₆) = C₆×C₄.A₄	φ: C₃×C₆/C₆ → C₃ ⊆ Out C₄○D₄	96		C4oD4:2(C3xC6)	288,983
C₄○D₄⋊₃(C₃×C₆) = C₃²×C₄○D₈	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4:3(C3xC6)	288,832
C₄○D₄⋊₄(C₃×C₆) = C₃²×C₈⋊C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4:4(C3xC6)	288,833
C₄○D₄⋊₅(C₃×C₆) = C₃²×2₊¹⁺⁴	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4:5(C3xC6)	288,1022
C₄○D₄⋊₆(C₃×C₆) = C₃²×2_-¹⁺⁴	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4:6(C3xC6)	288,1023

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.(C₃×C₆) = C₃×Q₈.A₄	φ: C₃×C₆/C₃ → C₆ ⊆ Out C₄○D₄	72	4	C4oD4.(C3xC6)	288,984
C₄○D₄.₂(C₃×C₆) = C₃×C₈.A₄	φ: C₃×C₆/C₆ → C₃ ⊆ Out C₄○D₄	96	2	C4oD4.2(C3xC6)	288,638
C₄○D₄.₃(C₃×C₆) = C₃²×C₄≀C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4.3(C3xC6)	288,322
C₄○D₄.₄(C₃×C₆) = C₃²×C₈.C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4.4(C3xC6)	288,834
C₄○D₄.₅(C₃×C₆) = C₃²×C₈○D₄	φ: trivial image	144		C4oD4.5(C3xC6)	288,828

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁