Extensions 1→N→G→Q→1 with N=D₆ and Q=M₄(2)

Direct product G=NxQ with N=D₆ and Q=M₄(2)

		d	ρ	Label	ID
C₂xS₃xM₄(2)		48		C2xS3xM4(2)	192,1302

Semidirect products G=N:Q with N=D₆ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁M₄(2) = C₈:₉D₁₂	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:1M4(2)	192,265
D₆:₂M₄(2) = D₆:₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:2M4(2)	192,287
D₆:₃M₄(2) = D₆:₃M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:3M4(2)	192,395
D₆:₄M₄(2) = C₂₄:D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:4M4(2)	192,686
D₆:₅M₄(2) = D₆:M₄(2)	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Out D₆	48		D6:5M4(2)	192,285
D₆:₆M₄(2) = D₆:₆M₄(2)	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Out D₆	48		D6:6M4(2)	192,685

Non-split extensions G=N.Q with N=D₆ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁M₄(2) = C₄².₁₈₂D₆	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.1M4(2)	192,264
D₆.₂M₄(2) = C₄².₂₀₂D₆	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Out D₆	96		D6.2M4(2)	192,394
D₆.₃M₄(2) = S₃xC₈:C₄	φ: trivial image	96		D6.3M4(2)	192,263
D₆.₄M₄(2) = S₃xC₂²:C₈	φ: trivial image	48		D6.4M4(2)	192,283
D₆.₅M₄(2) = S₃xC₄:C₈	φ: trivial image	96		D6.5M4(2)	192,391

׿

x

:

Z

F

o

wr

Q

<