Extensions 1→N→G→Q→1 with N=C₂² and Q=C₉:C₈

Direct product G=NxQ with N=C₂² and Q=C₉:C₈

		d	ρ	Label	ID
C₂²xC₉:C₈		288		C2^2xC9:C8	288,130

Semidirect products G=N:Q with N=C₂² and Q=C₉:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₉:C₈) = C₁₂.S₄	φ: C₉:C₈/C₁₂ → S₃ ⊆ Aut C₂²	72	6	C2^2:(C9:C8)	288,68
C₂²:₂(C₉:C₈) = C₃₆.₅₅D₄	φ: C₉:C₈/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(C9:C8)	288,37

Non-split extensions G=N.Q with N=C₂² and Q=C₉:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₉:C₈) = C₃₆.C₈	φ: C₉:C₈/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.(C9:C8)	288,19
C₂².₂(C₉:C₈) = C₂xC₉:C₁₆	central extension (φ=1)	288		C2^2.2(C9:C8)	288,18

Extensions 1→N→G→Q→1 with N=C22 and Q=C9:C8