Extensions 1→N→G→Q→1 with N=C₄₂ and Q=C₈

Direct product G=N×Q with N=C₄₂ and Q=C₈

		d	ρ	Label	ID
C₂×C₁₆₈		336		C2xC168	336,109

Semidirect products G=N:Q with N=C₄₂ and Q=C₈

extension	φ:Q→Aut N	d	Label	ID
C₄₂⋊₁C₈ = C₂×C₂₁⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	C42:1C8	336,95
C₄₂⋊₂C₈ = C₆×C₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	C42:2C8	336,63
C₄₂⋊₃C₈ = C₁₄×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	C42:3C8	336,79

Non-split extensions G=N.Q with N=C₄₂ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁C₈ = C₂₁⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	2	C42.1C8	336,5
C₄₂.₂C₈ = C₃×C₇⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	2	C42.2C8	336,4
C₄₂.₃C₈ = C₇×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄₂	336	2	C42.3C8	336,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C42 and Q=C8