Extensions 1→N→G→Q→1 with N=C₃₈ and Q=C₂³

Direct product G=N×Q with N=C₃₈ and Q=C₂³

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

Semidirect products G=N:Q with N=C₃₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊C₂³ = C₂³×D₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152		C38:C2^3	304,41

Non-split extensions G=N.Q with N=C₃₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.₁C₂³ = C₂×Dic₃₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	304		C38.1C2^3	304,27
C₃₈.₂C₂³ = C₂×C₄×D₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152		C38.2C2^3	304,28
C₃₈.₃C₂³ = C₂×D₇₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152		C38.3C2^3	304,29
C₃₈.₄C₂³ = D₇₆⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152	2	C38.4C2^3	304,30
C₃₈.₅C₂³ = D₄×D₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	76	4+	C38.5C2^3	304,31
C₃₈.₆C₂³ = D₄⋊₂D₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152	4-	C38.6C2^3	304,32
C₃₈.₇C₂³ = Q₈×D₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152	4-	C38.7C2^3	304,33
C₃₈.₈C₂³ = D₇₆⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152	4+	C38.8C2^3	304,34
C₃₈.₉C₂³ = C₂²×Dic₁₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	304		C38.9C2^3	304,35
C₃₈.₁₀C₂³ = C₂×C₁₉⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₈	152		C38.10C2^3	304,36
C₃₈.₁₁C₂³ = D₄×C₃₈	central extension (φ=1)	152		C38.11C2^3	304,38
C₃₈.₁₂C₂³ = Q₈×C₃₈	central extension (φ=1)	304		C38.12C2^3	304,39
C₃₈.₁₃C₂³ = C₄○D₄×C₁₉	central extension (φ=1)	152	2	C38.13C2^3	304,40

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