Extensions 1→N→G→Q→1 with N=C₁₃₆ and Q=C₂

Direct product G=N×Q with N=C₁₃₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₃₆		272		C2xC136	272,23

Semidirect products G=N:Q with N=C₁₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₆⋊₁C₂ = D₁₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2+	C136:1C2	272,7
C₁₃₆⋊₂C₂ = C₁₃₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:2C2	272,6
C₁₃₆⋊₃C₂ = C₈×D₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:3C2	272,4
C₁₃₆⋊₄C₂ = C₈⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:4C2	272,5
C₁₃₆⋊₅C₂ = D₈×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:5C2	272,25
C₁₃₆⋊₆C₂ = SD₁₆×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:6C2	272,26
C₁₃₆⋊₇C₂ = M₄(2)×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	136	2	C136:7C2	272,24

Non-split extensions G=N.Q with N=C₁₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃₆.₁C₂ = Dic₆₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	272	2-	C136.1C2	272,8
C₁₃₆.₂C₂ = C₁₇⋊₄C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	272	2	C136.2C2	272,1
C₁₃₆.₃C₂ = Q₁₆×C₁₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₃₆	272	2	C136.3C2	272,27

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