Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Dic₇

Direct product G=N×Q with N=C₂² and Q=C₂×Dic₇

		d	ρ	Label	ID
C₂³×Dic₇		224		C2^3xDic7	224,187

Semidirect products G=N:Q with N=C₂² and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×Dic₇) = D₄×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₂²	112		C2^2:1(C2xDic7)	224,129
C₂²⋊₂(C₂×Dic₇) = C₂×C₂³.D₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2:2(C2xDic7)	224,147

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Dic₇) = Q₈.Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.1(C2xDic7)	224,143
C₂².₂(C₂×Dic₇) = C₂₈.D₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.2(C2xDic7)	224,39
C₂².₃(C₂×Dic₇) = C₂³⋊Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.3(C2xDic7)	224,40
C₂².₄(C₂×Dic₇) = C₂₈.₁₀D₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.4(C2xDic7)	224,42
C₂².₅(C₂×Dic₇) = C₂³.₂₁D₁₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.5(C2xDic7)	224,121
C₂².₆(C₂×Dic₇) = C₄×C₇⋊C₈	central extension (φ=1)	224		C2^2.6(C2xDic7)	224,8
C₂².₇(C₂×Dic₇) = C₄².D₇	central extension (φ=1)	224		C2^2.7(C2xDic7)	224,9
C₂².₈(C₂×Dic₇) = C₂₈⋊C₈	central extension (φ=1)	224		C2^2.8(C2xDic7)	224,10
C₂².₉(C₂×Dic₇) = C₂₈.₅₅D₄	central extension (φ=1)	112		C2^2.9(C2xDic7)	224,36
C₂².₁₀(C₂×Dic₇) = C₁₄.C₄²	central extension (φ=1)	224		C2^2.10(C2xDic7)	224,37
C₂².₁₁(C₂×Dic₇) = C₂²×C₇⋊C₈	central extension (φ=1)	224		C2^2.11(C2xDic7)	224,115
C₂².₁₂(C₂×Dic₇) = C₂×C₄.Dic₇	central extension (φ=1)	112		C2^2.12(C2xDic7)	224,116
C₂².₁₃(C₂×Dic₇) = C₂×C₄×Dic₇	central extension (φ=1)	224		C2^2.13(C2xDic7)	224,117
C₂².₁₄(C₂×Dic₇) = C₂×C₄⋊Dic₇	central extension (φ=1)	224		C2^2.14(C2xDic7)	224,120

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