Extensions 1→N→G→Q→1 with N=C₃₈ and Q=Q₈

Direct product G=N×Q with N=C₃₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃₈		304		Q8xC38	304,39

Semidirect products G=N:Q with N=C₃₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊Q₈ = C₂×Dic₃₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₈	304		C38:Q8	304,27

Non-split extensions G=N.Q with N=C₃₈ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃₈.₁Q₈ = Dic₁₉⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₈	304	C38.1Q8	304,11
C₃₈.₂Q₈ = C₇₆⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₈	304	C38.2Q8	304,12
C₃₈.₃Q₈ = C₄⋊C₄×C₁₉	central extension (φ=1)	304	C38.3Q8	304,21

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Extensions 1→N→G→Q→1 with N=C38 and Q=Q8