Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃xD₄

Direct product G=NxQ with N=C₁₃ and Q=C₃xD₄

		d	ρ	Label	ID
D₄xC₃₉		156	2	D4xC39	312,43

Semidirect products G=N:Q with N=C₁₃ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃:₁(C₃xD₄) = D₅₂:C₃	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₃	52	6+	C13:1(C3xD4)	312,10
C₁₃:₂(C₃xD₄) = D₂₆:C₆	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₃	52	6	C13:2(C3xD4)	312,12
C₁₃:₃(C₃xD₄) = D₄xC₁₃:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₃	52	6	C13:3(C3xD4)	312,23
C₁₃:₄(C₃xD₄) = C₃xD₅₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₃	156	2	C13:4(C3xD4)	312,29
C₁₃:₅(C₃xD₄) = C₃xC₁₃:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₃	156	2	C13:5(C3xD4)	312,31

׿

x

:

Z

F

o

wr

Q

<