Extensions 1→N→G→Q→1 with N=C₄oD₁₂ and Q=C₄

Direct product G=NxQ with N=C₄oD₁₂ and Q=C₄

		d	ρ	Label	ID
C₄xC₄oD₁₂		96		C4xC4oD12	192,1033

Semidirect products G=N:Q with N=C₄oD₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂:₁C₄ = C₂xC₄²:₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	48		C4oD12:1C4	192,486
C₄oD₁₂:₂C₄ = C₂³.₂₈D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:2C4	192,672
C₄oD₁₂:₃C₄ = C₄oD₁₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:3C4	192,525
C₄oD₁₂:₄C₄ = C₄.(C₂xD₁₂)	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:4C4	192,561
C₄oD₁₂:₅C₄ = C₄²:₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	48	4	C4oD12:5C4	192,564
C₄oD₁₂:₆C₄ = C₂³.₅₄D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:6C4	192,692
C₄oD₁₂:₇C₄ = C₂xD₁₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	48		C4oD12:7C4	192,697
C₄oD₁₂:₈C₄ = M₄(2):₂₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	48	4	C4oD12:8C4	192,698
C₄oD₁₂:₉C₄ = C₆.₈2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:9C4	192,1063
C₄oD₁₂:₁₀C₄ = C₄².₁₈₈D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:10C4	192,1081
C₄oD₁₂:₁₁C₄ = C₄².₉₁D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12:11C4	192,1082

Non-split extensions G=N.Q with N=C₄oD₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₁₂.₁C₄ = D₁₂.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96	2	C4oD12.1C4	192,67
C₄oD₁₂.₂C₄ = Dic₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96	4	C4oD12.2C4	192,74
C₄oD₁₂.₃C₄ = C₁₆.₁₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96	4	C4oD12.3C4	192,466
C₄oD₁₂.₄C₄ = C₂xD₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	96		C4oD12.4C4	192,1303
C₄oD₁₂.₅C₄ = M₄(2):₂₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₁₂	48	4	C4oD12.5C4	192,1304
C₄oD₁₂.₆C₄ = D₁₂.₄C₈	φ: trivial image	96	2	C4oD12.6C4	192,460
C₄oD₁₂.₇C₄ = C₂xC₈oD₁₂	φ: trivial image	96		C4oD12.7C4	192,1297

׿

x

:

Z

F

o

wr

Q

<