Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=C₈

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=C₈

		d	ρ	Label	ID
C₂×C₈×C₇⋊C₃		112		C2xC8xC7:C3	336,51

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊C₈ = C₂×C₇⋊C₂₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×C₇⋊C₃	112		(C2xC7:C3):C8	336,12

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).C₈ = C₇⋊C₄₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×C₇⋊C₃	112	6	(C2xC7:C3).C8	336,1
(C₂×C₇⋊C₃).₂C₈ = C₁₆×C₇⋊C₃	φ: trivial image	112	3	(C2xC7:C3).2C8	336,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C8