Extensions 1→N→G→Q→1 with N=C₁₅₆ and Q=C₂

Direct product G=NxQ with N=C₁₅₆ and Q=C₂

		d	ρ	Label	ID
C₂xC₁₅₆		312		C2xC156	312,42

Semidirect products G=N:Q with N=C₁₅₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₆:₁C₂ = D₁₅₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2+	C156:1C2	312,39
C₁₅₆:₂C₂ = C₄xD₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:2C2	312,38
C₁₅₆:₃C₂ = C₃xD₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:3C2	312,29
C₁₅₆:₄C₂ = C₁₂xD₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:4C2	312,28
C₁₅₆:₅C₂ = C₁₃xD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:5C2	312,34
C₁₅₆:₆C₂ = S₃xC₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:6C2	312,33
C₁₅₆:₇C₂ = D₄xC₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:7C2	312,43

Non-split extensions G=N.Q with N=C₁₅₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₆.₁C₂ = Dic₇₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2-	C156.1C2	312,37
C₁₅₆.₂C₂ = C₃₉:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.2C2	312,5
C₁₅₆.₃C₂ = C₃xDic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.3C2	312,27
C₁₅₆.₄C₂ = C₃xC₁₃:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.4C2	312,4
C₁₅₆.₅C₂ = C₁₃xDic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.5C2	312,32
C₁₅₆.₆C₂ = C₁₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.6C2	312,3
C₁₅₆.₇C₂ = Q₈xC₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.7C2	312,44

׿

x

:

Z

F

o

wr

Q

<