Extensions 1→N→G→Q→1 with N=C₇ and Q=C₆×D₄

Direct product G=N×Q with N=C₇ and Q=C₆×D₄

		d	ρ	Label	ID
D₄×C₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=C₇ and Q=C₆×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₆×D₄) = C₂×C₄⋊F₇	φ: C₆×D₄/C₂×C₄ → C₆ ⊆ Aut C₇	56		C7:1(C6xD4)	336,123
C₇⋊₂(C₆×D₄) = D₄×F₇	φ: C₆×D₄/D₄ → C₆ ⊆ Aut C₇	28	12+	C7:2(C6xD4)	336,125
C₇⋊₃(C₆×D₄) = C₂×Dic₇⋊C₆	φ: C₆×D₄/C₂³ → C₆ ⊆ Aut C₇	56		C7:3(C6xD4)	336,130
C₇⋊₄(C₆×D₄) = C₂×D₄×C₇⋊C₃	φ: C₆×D₄/C₂×D₄ → C₃ ⊆ Aut C₇	56		C7:4(C6xD4)	336,165
C₇⋊₅(C₆×D₄) = C₆×D₂₈	φ: C₆×D₄/C₂×C₁₂ → C₂ ⊆ Aut C₇	168		C7:5(C6xD4)	336,176
C₇⋊₆(C₆×D₄) = C₃×D₄×D₇	φ: C₆×D₄/C₃×D₄ → C₂ ⊆ Aut C₇	84	4	C7:6(C6xD4)	336,178
C₇⋊₇(C₆×D₄) = C₆×C₇⋊D₄	φ: C₆×D₄/C₂²×C₆ → C₂ ⊆ Aut C₇	168		C7:7(C6xD4)	336,183

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁