Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇:C₈

Direct product G=NxQ with N=C₂² and Q=C₇:C₈

		d	ρ	Label	ID
C₂²xC₇:C₈		224		C2^2xC7:C8	224,115

Semidirect products G=N:Q with N=C₂² and Q=C₇:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₇:C₈) = C₂₈.₅₅D₄	φ: C₇:C₈/C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:(C7:C8)	224,36

Non-split extensions G=N.Q with N=C₂² and Q=C₇:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₇:C₈) = C₂₈.C₈	φ: C₇:C₈/C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.(C7:C8)	224,18
C₂².₂(C₇:C₈) = C₂xC₇:C₁₆	central extension (φ=1)	224		C2^2.2(C7:C8)	224,17

Extensions 1→N→G→Q→1 with N=C22 and Q=C7:C8