Extensions 1→N→G→Q→1 with N=C₇:D₄ and Q=C₂xC₄

Direct product G=NxQ with N=C₇:D₄ and Q=C₂xC₄

		d	ρ	Label	ID
C₂xC₄xC₇:D₄		224		C2xC4xC7:D4	448,1241

Semidirect products G=N:Q with N=C₇:D₄ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:D₄:₁(C₂xC₄) = C₄xD₄:₂D₇	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	224		C7:D4:1(C2xC4)	448,989
C₇:D₄:₂(C₂xC₄) = C₄xD₄xD₇	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	112		C7:D4:2(C2xC4)	448,997
C₇:D₄:₃(C₂xC₄) = C₄²:₁₁D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	112		C7:D4:3(C2xC4)	448,998
C₇:D₄:₄(C₂xC₄) = C₄².₁₀₈D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	224		C7:D4:4(C2xC4)	448,999
C₇:D₄:₅(C₂xC₄) = C₂xDic₇:₄D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4:5(C2xC4)	448,938
C₇:D₄:₆(C₂xC₄) = C₄².₁₈₈D₁₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4:6(C2xC4)	448,975
C₇:D₄:₇(C₂xC₄) = C₄².₉₁D₁₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4:7(C2xC4)	448,976
C₇:D₄:₈(C₂xC₄) = C₄xC₄oD₂₈	φ: trivial image	224		C7:D4:8(C2xC4)	448,927
C₇:D₄:₉(C₂xC₄) = C₂⁴.₂₄D₁₄	φ: trivial image	112		C7:D4:9(C2xC4)	448,939
C₇:D₄:₁₀(C₂xC₄) = C₁₄.₈2₊¹⁺⁴	φ: trivial image	224		C7:D4:10(C2xC4)	448,957

Non-split extensions G=N.Q with N=C₇:D₄ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:D₄.₁(C₂xC₄) = D₇xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	112	4	C7:D4.1(C2xC4)	448,1202
C₇:D₄.₂(C₂xC₄) = C₅₆.₄₉C₂³	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇:D₄	112	4	C7:D4.2(C2xC4)	448,1203
C₇:D₄.₃(C₂xC₄) = C₂xD₂₈.C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇:D₄	224		C7:D4.3(C2xC4)	448,1197
C₇:D₄.₄(C₂xC₄) = C₂₈.₇₀C₂⁴	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇:D₄	112	4	C7:D4.4(C2xC4)	448,1198
C₇:D₄.₅(C₂xC₄) = C₂xD₂₈.₂C₄	φ: trivial image	224		C7:D4.5(C2xC4)	448,1191

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