Extensions 1→N→G→Q→1 with N=C₇ and Q=C₇⋊C₃

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

		d	ρ	Label	ID
C₇×C₇⋊C₃		21	3	C7xC7:C3	147,3

Semidirect products G=N:Q with N=C₇ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₇⋊C₃) = C₇²⋊C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₇	49		C7:1(C7:C3)	147,4
C₇⋊₂(C₇⋊C₃) = C₇²⋊₃C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₇	21	3	C7:2(C7:C3)	147,5

Non-split extensions G=N.Q with N=C₇ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₇⋊C₃) = C₄₉⋊C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₇	49	3	C7.(C7:C3)	147,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C7 and Q=C7⋊C3