Extensions 1→N→G→Q→1 with N=C₆ and Q=C₇⋊C₈

Direct product G=N×Q with N=C₆ and Q=C₇⋊C₈

		d	ρ	Label	ID
C₆×C₇⋊C₈		336		C6xC7:C8	336,63

Semidirect products G=N:Q with N=C₆ and Q=C₇⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₇⋊C₈) = C₂×C₂₁⋊C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₆	336		C6:(C7:C8)	336,95

Non-split extensions G=N.Q with N=C₆ and Q=C₇⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₇⋊C₈) = C₂₁⋊C₁₆	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₆	336	2	C6.(C7:C8)	336,5
C₆.₂(C₇⋊C₈) = C₃×C₇⋊C₁₆	central extension (φ=1)	336	2	C6.2(C7:C8)	336,4

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Extensions 1→N→G→Q→1 with N=C6 and Q=C7⋊C8