Extensions 1→N→G→Q→1 with N=C₂₃ and Q=C₂×D₄

Direct product G=N×Q with N=C₂₃ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₄₆		184		D4xC46	368,38

Semidirect products G=N:Q with N=C₂₃ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₃⋊₁(C₂×D₄) = C₂×D₉₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₂₃	184		C23:1(C2xD4)	368,29
C₂₃⋊₂(C₂×D₄) = D₄×D₂₃	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₂₃	92	4+	C23:2(C2xD4)	368,31
C₂₃⋊₃(C₂×D₄) = C₂×C₂₃⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₂₃	184		C23:3(C2xD4)	368,36

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁