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

Direct product G=N×Q with N=C₂² and Q=C₇⋊C₈

		d	ρ	Label	ID
C₂²×C₇⋊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) = C₂×C₇⋊C₁₆	central extension (φ=1)	224		C2^2.2(C7:C8)	224,17

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