Extensions 1→N→G→Q→1 with N=C₁₂² and Q=C₂

Direct product G=NxQ with N=C₁₂² and Q=C₂

		d	ρ	Label	ID
C₂xC₁₂²		288		C2xC12^2	288,811

Semidirect products G=N:Q with N=C₁₂² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂²:₁C₂ = C₃xC₄²:₃S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:1C2	288,647
C₁₂²:₂C₂ = C₁₂²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:2C2	288,733
C₁₂²:₃C₂ = C₃²xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:3C2	288,814
C₁₂²:₄C₂ = C₃²xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:4C2	288,823
C₁₂²:₅C₂ = C₁₂:₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:5C2	288,731
C₁₂²:₆C₂ = C₁₂²:₆C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:6C2	288,732
C₁₂²:₇C₂ = C₁₂²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	72		C12^2:7C2	288,280
C₁₂²:₈C₂ = C₄xC₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:8C2	288,730
C₁₂²:₉C₂ = C₃xC₄²:₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	24	2	C12^2:9C2	288,239
C₁₂²:₁₀C₂ = C₁₂xD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:10C2	288,644
C₁₂²:₁₁C₂ = C₃xC₄:D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:11C2	288,645
C₁₂²:₁₂C₂ = C₃xC₄²:₇S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:12C2	288,646
C₁₂²:₁₃C₂ = S₃xC₄xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:13C2	288,642
C₁₂²:₁₄C₂ = C₃xC₄²:₂S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96		C12^2:14C2	288,643
C₁₂²:₁₅C₂ = C₄²xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:15C2	288,728
C₁₂²:₁₆C₂ = C₁₂²:₁₆C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:16C2	288,729
C₁₂²:₁₇C₂ = C₃²xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	72		C12^2:17C2	288,322
C₁₂²:₁₈C₂ = D₄xC₃xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:18C2	288,815
C₁₂²:₁₉C₂ = C₃²xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:19C2	288,821
C₁₂²:₂₀C₂ = C₃²xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	144		C12^2:20C2	288,824

Non-split extensions G=N.Q with N=C₁₂² and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
C₁₂².₁C₂ = C₃²xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.1C2	288,315
C₁₂².₂C₂ = C₁₂:₆Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.2C2	288,726
C₁₂².₃C₂ = C₁₂.₂₅Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.3C2	288,727
C₁₂².₄C₂ = C₁₂.₅₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.4C2	288,279
C₁₂².₅C₂ = C₄xC₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.5C2	288,725
C₁₂².₆C₂ = C₃xC₁₂:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.6C2	288,238
C₁₂².₇C₂ = C₁₂xDic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.7C2	288,639
C₁₂².₈C₂ = C₃xC₁₂:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.8C2	288,640
C₁₂².₉C₂ = C₃xC₁₂.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.9C2	288,641
C₁₂².₁₀C₂ = C₁₂xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.10C2	288,236
C₁₂².₁₁C₂ = C₃xC₄².S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	96	C12^2.11C2	288,237
C₁₂².₁₂C₂ = C₄xC₃²:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.12C2	288,277
C₁₂².₁₃C₂ = C₁₂².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.13C2	288,278
C₁₂².₁₄C₂ = C₃²xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.14C2	288,323
C₁₂².₁₅C₂ = Q₈xC₃xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.15C2	288,816
C₁₂².₁₆C₂ = C₃²xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.16C2	288,822
C₁₂².₁₇C₂ = C₃²xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂²	288	C12^2.17C2	288,825

Extensions 1→N→G→Q→1 with N=C122 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₂² and Q=C₂