Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=C₄

Direct product G=N×Q with N=C₃⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₃⋊C₈		96		C4xC3:C8	96,9

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁C₄ = C₆.Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	96		C3:C8:1C4	96,14
C₃⋊C₈⋊₂C₄ = C₁₂.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	96		C3:C8:2C4	96,15
C₃⋊C₈⋊₃C₄ = C₄².S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	96		C3:C8:3C4	96,10
C₃⋊C₈⋊₄C₄ = C₂₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	96		C3:C8:4C4	96,22
C₃⋊C₈⋊₅C₄ = C₈×Dic₃	φ: trivial image	96		C3:C8:5C4	96,20

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.₁C₄ = C₁₂.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	48	4	C3:C8.1C4	96,29
C₃⋊C₈.₂C₄ = D₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊C₈	48	2	C3:C8.2C4	96,5
C₃⋊C₈.₃C₄ = S₃×C₁₆	φ: trivial image	48	2	C3:C8.3C4	96,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁