Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×D₈

Direct product G=N×Q with N=C₇ and Q=C₃×D₈

		d	ρ	Label	ID
D₈×C₂₁		168	2	D8xC21	336,111

Semidirect products G=N:Q with N=C₇ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×D₈) = D₅₆⋊C₃	φ: C₃×D₈/C₈ → C₆ ⊆ Aut C₇	56	6+	C7:1(C3xD8)	336,10
C₇⋊₂(C₃×D₈) = D₄⋊F₇	φ: C₃×D₈/D₄ → C₆ ⊆ Aut C₇	56	12+	C7:2(C3xD8)	336,18
C₇⋊₃(C₃×D₈) = D₈×C₇⋊C₃	φ: C₃×D₈/D₈ → C₃ ⊆ Aut C₇	56	6	C7:3(C3xD8)	336,53
C₇⋊₄(C₃×D₈) = C₃×D₅₆	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:4(C3xD8)	336,61
C₇⋊₅(C₃×D₈) = C₃×D₄⋊D₇	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₇	168	4	C7:5(C3xD8)	336,69

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁