Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₇:C₃

Direct product G=NxQ with N=C₂² and Q=C₂xC₇:C₃

		d	ρ	Label	ID
C₂³xC₇:C₃		56		C2^3xC7:C3	168,51

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₇:C₃) = C₂xC₇:A₄	φ: C₂xC₇:C₃/C₁₄ → C₃ ⊆ Aut C₂²	42	3	C2^2:(C2xC7:C3)	168,53
C₂²:₂(C₂xC₇:C₃) = D₄xC₇:C₃	φ: C₂xC₇:C₃/C₇:C₃ → C₂ ⊆ Aut C₂²	28	6	C2^2:2(C2xC7:C3)	168,20

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂xC₇:C₃) = C₂xC₄xC₇:C₃	central extension (φ=1)	56		C2^2.(C2xC7:C3)	168,19

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC7:C3