Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄:M₄(2)

Direct product G=NxQ with N=C₇ and Q=C₄:M₄(2)

		d	ρ	Label	ID
C₇xC₄:M₄(2)		224		C7xC4:M4(2)	448,831

Semidirect products G=N:Q with N=C₇ and Q=C₄:M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₄:M₄(2)) = C₂₈:M₄(2)	φ: C₄:M₄(2)/C₄:C₈ → C₂ ⊆ Aut C₇	224		C7:1(C4:M4(2))	448,371
C₇:₂(C₄:M₄(2)) = C₂₈:₇M₄(2)	φ: C₄:M₄(2)/C₂xC₄² → C₂ ⊆ Aut C₇	224		C7:2(C4:M4(2))	448,458
C₇:₃(C₄:M₄(2)) = Dic₇:₄M₄(2)	φ: C₄:M₄(2)/C₂xM₄(2) → C₂ ⊆ Aut C₇	224		C7:3(C4:M4(2))	448,652

׿

x

:

Z

F

o

wr

Q

<