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

Direct product G=N×Q with N=C₇ and Q=M₄(2)

		d	ρ	Label	ID
C₇×M₄(2)		56	2	C7xM4(2)	112,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁M₄(2) = C₈⋊D₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₇	56	2	C7:1M4(2)	112,4
C₇⋊₂M₄(2) = C₄.Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₇	56	2	C7:2M4(2)	112,9

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁