Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₂xC₄

Direct product G=NxQ with N=Dic₁₃ and Q=C₂xC₄

		d	ρ	Label	ID
C₂xC₄xDic₁₃		416		C2xC4xDic13	416,143

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃:(C₂xC₄) = D₄xC₁₃:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out Dic₁₃	52	8+	Dic13:(C2xC4)	416,206
Dic₁₃:₂(C₂xC₄) = Dic₁₃:₄D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	208		Dic13:2(C2xC4)	416,102
Dic₁₃:₃(C₂xC₄) = C₄xC₁₃:D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	208		Dic13:3(C2xC4)	416,149
Dic₁₃:₄(C₂xC₄) = C₄:C₄xD₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13:4(C2xC4)	416,112
Dic₁₃:₅(C₂xC₄) = C₂xC₂₆.D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	416		Dic13:5(C2xC4)	416,144
Dic₁₃:₆(C₂xC₄) = C₂xC₄xC₁₃:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	104		Dic13:6(C2xC4)	416,202
Dic₁₃:₇(C₂xC₄) = C₂xC₅₂:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	104		Dic13:7(C2xC4)	416,203
Dic₁₃:₈(C₂xC₄) = C₄²xD₁₃	φ: trivial image	208		Dic13:8(C2xC4)	416,92

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁(C₂xC₄) = Dic₂₆.C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out Dic₁₃	208	8-	Dic13.1(C2xC4)	416,205
Dic₁₃.₂(C₂xC₄) = Q₈xC₁₃:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out Dic₁₃	104	8-	Dic13.2(C2xC4)	416,208
Dic₁₃.₃(C₂xC₄) = C₄xDic₂₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.3(C2xC4)	416,89
Dic₁₃.₄(C₂xC₄) = Dic₁₃:₃Q₈	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.4(C2xC4)	416,108
Dic₁₃.₅(C₂xC₄) = D₅₂.₃C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	208	2	Dic13.5(C2xC4)	416,122
Dic₁₃.₆(C₂xC₄) = D₅₂.₂C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	208	4	Dic13.6(C2xC4)	416,128
Dic₁₃.₇(C₂xC₄) = C₈xC₁₃:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	104	4	Dic13.7(C2xC4)	416,66
Dic₁₃.₈(C₂xC₄) = C₁₀₄:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	104	4	Dic13.8(C2xC4)	416,67
Dic₁₃.₉(C₂xC₄) = C₄xC₁₃:C₈	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.9(C2xC4)	416,75
Dic₁₃.₁₀(C₂xC₄) = C₂₆.C₄²	φ: C₂xC₄/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.10(C2xC4)	416,77
Dic₁₃.₁₁(C₂xC₄) = C₄²:D₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.11(C2xC4)	416,93
Dic₁₃.₁₂(C₂xC₄) = C₂xC₈:D₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.12(C2xC4)	416,121
Dic₁₃.₁₃(C₂xC₄) = M₄(2)xD₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	104	4	Dic13.13(C2xC4)	416,127
Dic₁₃.₁₄(C₂xC₄) = C₂xD₁₃:C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.14(C2xC4)	416,199
Dic₁₃.₁₅(C₂xC₄) = C₂xC₅₂.C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.15(C2xC4)	416,200
Dic₁₃.₁₆(C₂xC₄) = D₁₃:M₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	104	4	Dic13.16(C2xC4)	416,201
Dic₁₃.₁₇(C₂xC₄) = D₂₆.C₂³	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	104	4	Dic13.17(C2xC4)	416,204
Dic₁₃.₁₈(C₂xC₄) = C₂²xC₁₃:C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	416		Dic13.18(C2xC4)	416,209
Dic₁₃.₁₉(C₂xC₄) = C₂xC₁₃:M₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Out Dic₁₃	208		Dic13.19(C2xC4)	416,210
Dic₁₃.₂₀(C₂xC₄) = C₂³.₁₁D₂₆	φ: trivial image	208		Dic13.20(C2xC4)	416,98
Dic₁₃.₂₁(C₂xC₄) = C₄:C₄:₇D₁₃	φ: trivial image	208		Dic13.21(C2xC4)	416,113
Dic₁₃.₂₂(C₂xC₄) = C₂xC₈xD₁₃	φ: trivial image	208		Dic13.22(C2xC4)	416,120

Extensions 1→N→G→Q→1 with N=Dic13 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₂xC₄