Extensions 1→N→G→Q→1 with N=C₂² and Q=D₃₈

Direct product G=N×Q with N=C₂² and Q=D₃₈

		d	ρ	Label	ID
C₂³×D₁₉		152		C2^3xD19	304,41

Semidirect products G=N:Q with N=C₂² and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₃₈ = D₄×D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₂²	76	4+	C2^2:1D38	304,31
C₂²⋊₂D₃₈ = C₂×C₁₉⋊D₄	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₂²	152		C2^2:2D38	304,36

Non-split extensions G=N.Q with N=C₂² and Q=D₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₃₈ = D₄⋊₂D₁₉	φ: D₃₈/D₁₉ → C₂ ⊆ Aut C₂²	152	4-	C2^2.1D38	304,32
C₂².₂D₃₈ = D₇₆⋊₅C₂	φ: D₃₈/C₃₈ → C₂ ⊆ Aut C₂²	152	2	C2^2.2D38	304,30
C₂².₃D₃₈ = C₄×Dic₁₉	central extension (φ=1)	304		C2^2.3D38	304,10
C₂².₄D₃₈ = Dic₁₉⋊C₄	central extension (φ=1)	304		C2^2.4D38	304,11
C₂².₅D₃₈ = C₇₆⋊C₄	central extension (φ=1)	304		C2^2.5D38	304,12
C₂².₆D₃₈ = D₃₈⋊C₄	central extension (φ=1)	152		C2^2.6D38	304,13
C₂².₇D₃₈ = C₂³.D₁₉	central extension (φ=1)	152		C2^2.7D38	304,18
C₂².₈D₃₈ = C₂×Dic₃₈	central extension (φ=1)	304		C2^2.8D38	304,27
C₂².₉D₃₈ = C₂×C₄×D₁₉	central extension (φ=1)	152		C2^2.9D38	304,28
C₂².₁₀D₃₈ = C₂×D₇₆	central extension (φ=1)	152		C2^2.10D38	304,29
C₂².₁₁D₃₈ = C₂²×Dic₁₉	central extension (φ=1)	304		C2^2.11D38	304,35

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