Extensions 1→N→G→Q→1 with N=C₃₈ and Q=C₂xC₆

Direct product G=NxQ with N=C₃₈ and Q=C₂xC₆

		d	ρ	Label	ID
C₂²xC₁₁₄		456		C2^2xC114	456,54

Semidirect products G=N:Q with N=C₃₈ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈:(C₂xC₆) = C₂²xC₁₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	76		C38:(C2xC6)	456,44
C₃₈:₂(C₂xC₆) = C₂³xC₁₉:C₃	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₃₈	152		C38:2(C2xC6)	456,48
C₃₈:₃(C₂xC₆) = C₂xC₆xD₁₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	228		C38:3(C2xC6)	456,51

Non-split extensions G=N.Q with N=C₃₈ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.₁(C₂xC₆) = Dic₃₈:C₃	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	152	6-	C38.1(C2xC6)	456,7
C₃₈.₂(C₂xC₆) = C₄xC₁₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	76	6	C38.2(C2xC6)	456,8
C₃₈.₃(C₂xC₆) = D₇₆:C₃	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	76	6+	C38.3(C2xC6)	456,9
C₃₈.₄(C₂xC₆) = C₂xC₁₉:C₁₂	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	152		C38.4(C2xC6)	456,10
C₃₈.₅(C₂xC₆) = D₃₈:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Aut C₃₈	76	6	C38.5(C2xC6)	456,11
C₃₈.₆(C₂xC₆) = C₂xC₄xC₁₉:C₃	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₃₈	152		C38.6(C2xC6)	456,19
C₃₈.₇(C₂xC₆) = D₄xC₁₉:C₃	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₃₈	76	6	C38.7(C2xC6)	456,20
C₃₈.₈(C₂xC₆) = Q₈xC₁₉:C₃	φ: C₂xC₆/C₂² → C₃ ⊆ Aut C₃₈	152	6	C38.8(C2xC6)	456,21
C₃₈.₉(C₂xC₆) = C₃xDic₃₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	456	2	C38.9(C2xC6)	456,24
C₃₈.₁₀(C₂xC₆) = C₁₂xD₁₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	228	2	C38.10(C2xC6)	456,25
C₃₈.₁₁(C₂xC₆) = C₃xD₇₆	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	228	2	C38.11(C2xC6)	456,26
C₃₈.₁₂(C₂xC₆) = C₆xDic₁₉	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	456		C38.12(C2xC6)	456,27
C₃₈.₁₃(C₂xC₆) = C₃xC₁₉:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₈	228	2	C38.13(C2xC6)	456,28
C₃₈.₁₄(C₂xC₆) = D₄xC₅₇	central extension (φ=1)	228	2	C38.14(C2xC6)	456,40
C₃₈.₁₅(C₂xC₆) = Q₈xC₅₇	central extension (φ=1)	456	2	C38.15(C2xC6)	456,41

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