Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₃₈

Direct product G=N×Q with N=C₂² and Q=C₂×C₃₈

		d	ρ	Label	ID
C₂³×C₃₈		304		C2^3xC38	304,42

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₃₈) = D₄×C₃₈	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₂²	152		C2^2:(C2xC38)	304,38

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₃₈) = C₄○D₄×C₁₉	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₂²	152	2	C2^2.(C2xC38)	304,40
C₂².₂(C₂×C₃₈) = C₂²⋊C₄×C₁₉	central extension (φ=1)	152		C2^2.2(C2xC38)	304,20
C₂².₃(C₂×C₃₈) = C₄⋊C₄×C₁₉	central extension (φ=1)	304		C2^2.3(C2xC38)	304,21
C₂².₄(C₂×C₃₈) = Q₈×C₃₈	central extension (φ=1)	304		C2^2.4(C2xC38)	304,39

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C38