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

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

		d	ρ	Label	ID
C₂×C₁₅₆		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 = C₄×D₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:2C2	312,38
C₁₅₆⋊₃C₂ = C₃×D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:3C2	312,29
C₁₅₆⋊₄C₂ = C₁₂×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:4C2	312,28
C₁₅₆⋊₅C₂ = C₁₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:5C2	312,34
C₁₅₆⋊₆C₂ = S₃×C₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	156	2	C156:6C2	312,33
C₁₅₆⋊₇C₂ = D₄×C₃₉	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 = C₃×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.3C2	312,27
C₁₅₆.₄C₂ = C₃×C₁₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.4C2	312,4
C₁₅₆.₅C₂ = C₁₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.5C2	312,32
C₁₅₆.₆C₂ = C₁₃×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.6C2	312,3
C₁₅₆.₇C₂ = Q₈×C₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₆	312	2	C156.7C2	312,44

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