Extensions 1→N→G→Q→1 with N=C₄:D₁₂ and Q=C₂

Direct product G=NxQ with N=C₄:D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₄:D₁₂		96		C2xC4:D12	192,1034

Semidirect products G=N:Q with N=C₄:D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:D₁₂:₁C₂ = C₁₂:₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:1C2	192,254
C₄:D₁₂:₂C₂ = C₈:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:2C2	192,271
C₄:D₁₂:₃C₂ = C₄²:₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	48		C4:D12:3C2	192,1084
C₄:D₁₂:₄C₂ = C₄².₁₀₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:4C2	192,1094
C₄:D₁₂:₅C₂ = C₄²:₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	48		C4:D12:5C2	192,1270
C₄:D₁₂:₆C₂ = Q₈:₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	24	4+	C4:D12:6C2	192,381
C₄:D₁₂:₇C₂ = C₄:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:7C2	192,402
C₄:D₁₂:₈C₂ = C₁₂:₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:8C2	192,574
C₄:D₁₂:₉C₂ = C₄².₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:9C2	192,617
C₄:D₁₂:₁₀C₂ = C₁₂:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:10C2	192,632
C₄:D₁₂:₁₁C₂ = D₄xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	48		C4:D12:11C2	192,1108
C₄:D₁₂:₁₂C₂ = Dic₆:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:12C2	192,1112
C₄:D₁₂:₁₃C₂ = Q₈:₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:13C2	192,1136
C₄:D₁₂:₁₄C₂ = C₄²:₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	48		C4:D12:14C2	192,1233
C₄:D₁₂:₁₅C₂ = C₄².₁₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:15C2	192,1256
C₄:D₁₂:₁₆C₂ = S₃xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	48		C4:D12:16C2	192,1273
C₄:D₁₂:₁₇C₂ = C₄².₂₄₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12:17C2	192,1284
C₄:D₁₂:₁₈C₂ = C₄².₂₇₆D₆	φ: trivial image	96		C4:D12:18C2	192,1036

Non-split extensions G=N.Q with N=C₄:D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:D₁₂.₁C₂ = C₈:₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.1C2	192,252
C₄:D₁₂.₂C₂ = C₄.₅D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.2C2	192,253
C₄:D₁₂.₃C₂ = C₄².₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.3C2	192,272
C₄:D₁₂.₄C₂ = C₄.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.4C2	192,44
C₄:D₁₂.₅C₂ = Dic₆:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.5C2	192,407
C₄:D₁₂.₆C₂ = Q₈:₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.6C2	192,586
C₄:D₁₂.₇C₂ = C₄².₇₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.7C2	192,626
C₄:D₁₂.₈C₂ = C₁₂:₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.8C2	192,644
C₄:D₁₂.₉C₂ = C₁₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.9C2	192,647
C₄:D₁₂.₁₀C₂ = C₄².₁₃₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄:D₁₂	96		C4:D12.10C2	192,1144

׿

x

:

Z

F

o

wr

Q

<