Extensions 1→N→G→Q→1 with N=C₅₂ and Q=C₂xC₄

Direct product G=NxQ with N=C₅₂ and Q=C₂xC₄

		d	ρ	Label	ID
C₂xC₄xC₅₂		416		C2xC4xC52	416,175

Semidirect products G=N:Q with N=C₅₂ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂:(C₂xC₄) = D₄xC₁₃:C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	52	8+	C52:(C2xC4)	416,206
C₅₂:₂(C₂xC₄) = C₂xC₅₂:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104		C52:2(C2xC4)	416,203
C₅₂:₃(C₂xC₄) = C₂xC₄xC₁₃:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104		C52:3(C2xC4)	416,202
C₅₂:₄(C₂xC₄) = C₄:C₄xD₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52:4(C2xC4)	416,112
C₅₂:₅(C₂xC₄) = D₅₂:₈C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52:5(C2xC4)	416,114
C₅₂:₆(C₂xC₄) = D₄xDic₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52:6(C2xC4)	416,155
C₅₂:₇(C₂xC₄) = C₄xD₅₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52:7(C2xC4)	416,94
C₅₂:₈(C₂xC₄) = C₄²xD₁₃	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52:8(C2xC4)	416,92
C₅₂:₉(C₂xC₄) = D₄xC₅₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52:9(C2xC4)	416,179
C₅₂:₁₀(C₂xC₄) = C₂xC₅₂:₃C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52:10(C2xC4)	416,146
C₅₂:₁₁(C₂xC₄) = C₂xC₄xDic₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52:11(C2xC4)	416,143
C₅₂:₁₂(C₂xC₄) = C₄:C₄xC₂₆	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52:12(C2xC4)	416,177

Non-split extensions G=N.Q with N=C₅₂ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂.₁(C₂xC₄) = D₅₂:₁C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	104	8+	C52.1(C2xC4)	416,82
C₅₂.₂(C₂xC₄) = Dic₂₆:C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	104	8-	C52.2(C2xC4)	416,83
C₅₂.₃(C₂xC₄) = D₁₃.Q₁₆	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	104	8-	C52.3(C2xC4)	416,84
C₅₂.₄(C₂xC₄) = D₅₂:C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	104	8+	C52.4(C2xC4)	416,85
C₅₂.₅(C₂xC₄) = Dic₂₆.C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	208	8-	C52.5(C2xC4)	416,205
C₅₂.₆(C₂xC₄) = D₅₂.C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	208	8+	C52.6(C2xC4)	416,207
C₅₂.₇(C₂xC₄) = Q₈xC₁₃:C₄	φ: C₂xC₄/C₁ → C₂xC₄ ⊆ Aut C₅₂	104	8-	C52.7(C2xC4)	416,208
C₅₂.₈(C₂xC₄) = D₂₆.₈D₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.8(C2xC4)	416,68
C₅₂.₉(C₂xC₄) = D₁₃.D₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.9(C2xC4)	416,69
C₅₂.₁₀(C₂xC₄) = C₁₀₄.C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208	4	C52.10(C2xC4)	416,70
C₅₂.₁₁(C₂xC₄) = C₁₀₄.₁C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208	4	C52.11(C2xC4)	416,71
C₅₂.₁₂(C₂xC₄) = C₂xC₅₂.C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208		C52.12(C2xC4)	416,200
C₅₂.₁₃(C₂xC₄) = D₁₃:C₁₆	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208	4	C52.13(C2xC4)	416,64
C₅₂.₁₄(C₂xC₄) = D₂₆.C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208	4	C52.14(C2xC4)	416,65
C₅₂.₁₅(C₂xC₄) = C₈xC₁₃:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.15(C2xC4)	416,66
C₅₂.₁₆(C₂xC₄) = C₁₀₄:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.16(C2xC4)	416,67
C₅₂.₁₇(C₂xC₄) = C₂xC₁₃:C₁₆	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	416		C52.17(C2xC4)	416,72
C₅₂.₁₈(C₂xC₄) = C₅₂.C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208	4	C52.18(C2xC4)	416,73
C₅₂.₁₉(C₂xC₄) = C₂xD₁₃:C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	208		C52.19(C2xC4)	416,199
C₅₂.₂₀(C₂xC₄) = D₁₃:M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.20(C2xC4)	416,201
C₅₂.₂₁(C₂xC₄) = D₂₆.C₂³	φ: C₂xC₄/C₂ → C₄ ⊆ Aut C₅₂	104	4	C52.21(C2xC4)	416,204
C₅₂.₂₂(C₂xC₄) = C₂₆.D₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.22(C2xC4)	416,14
C₅₂.₂₃(C₂xC₄) = C₅₂.Q₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.23(C2xC4)	416,15
C₅₂.₂₄(C₂xC₄) = D₅₂:₆C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52.24(C2xC4)	416,16
C₅₂.₂₅(C₂xC₄) = C₂₆.Q₁₆	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.25(C2xC4)	416,17
C₅₂.₂₆(C₂xC₄) = C₅₂.₅₃D₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208	4	C52.26(C2xC4)	416,29
C₅₂.₂₇(C₂xC₄) = D₅₂:₇C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	104	4	C52.27(C2xC4)	416,32
C₅₂.₂₈(C₂xC₄) = D₄:Dic₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52.28(C2xC4)	416,39
C₅₂.₂₉(C₂xC₄) = Q₈:Dic₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.29(C2xC4)	416,42
C₅₂.₃₀(C₂xC₄) = C₅₂.₅₆D₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	104	4	C52.30(C2xC4)	416,44
C₅₂.₃₁(C₂xC₄) = Dic₁₃:₃Q₈	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.31(C2xC4)	416,108
C₅₂.₃₂(C₂xC₄) = C₄:C₄:₇D₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208		C52.32(C2xC4)	416,113
C₅₂.₃₃(C₂xC₄) = M₄(2)xD₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	104	4	C52.33(C2xC4)	416,127
C₅₂.₃₄(C₂xC₄) = D₅₂.₂C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208	4	C52.34(C2xC4)	416,128
C₅₂.₃₅(C₂xC₄) = Q₈xDic₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	416		C52.35(C2xC4)	416,166
C₅₂.₃₆(C₂xC₄) = D₄.Dic₁₃	φ: C₂xC₄/C₂ → C₂² ⊆ Aut C₅₂	208	4	C52.36(C2xC4)	416,169
C₅₂.₃₇(C₂xC₄) = D₅₂:₄C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	104	2	C52.37(C2xC4)	416,12
C₅₂.₃₈(C₂xC₄) = C₅₂.₄₄D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.38(C2xC4)	416,23
C₅₂.₃₉(C₂xC₄) = D₅₂:₅C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52.39(C2xC4)	416,28
C₅₂.₄₀(C₂xC₄) = C₄xDic₂₆	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.40(C2xC4)	416,89
C₅₂.₄₁(C₂xC₄) = D₅₂.₃C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208	2	C52.41(C2xC4)	416,122
C₅₂.₄₂(C₂xC₄) = C₁₆xD₁₃	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208	2	C52.42(C2xC4)	416,4
C₅₂.₄₃(C₂xC₄) = C₂₀₈:C₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208	2	C52.43(C2xC4)	416,5
C₅₂.₄₄(C₂xC₄) = C₄xC₁₃:₂C₈	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.44(C2xC4)	416,9
C₅₂.₄₅(C₂xC₄) = C₂₆.₇C₄²	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.45(C2xC4)	416,10
C₅₂.₄₆(C₂xC₄) = C₄²:D₁₃	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52.46(C2xC4)	416,93
C₅₂.₄₇(C₂xC₄) = C₂xC₈xD₁₃	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52.47(C2xC4)	416,120
C₅₂.₄₈(C₂xC₄) = C₂xC₈:D₁₃	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52.48(C2xC4)	416,121
C₅₂.₄₉(C₂xC₄) = C₁₃xD₄:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208		C52.49(C2xC4)	416,52
C₅₂.₅₀(C₂xC₄) = C₁₃xQ₈:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.50(C2xC4)	416,53
C₅₂.₅₁(C₂xC₄) = C₁₃xC₄wrC₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	104	2	C52.51(C2xC4)	416,54
C₅₂.₅₂(C₂xC₄) = Q₈xC₅₂	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	416		C52.52(C2xC4)	416,180
C₅₂.₅₃(C₂xC₄) = C₁₃xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₅₂	208	2	C52.53(C2xC4)	416,192
C₅₂.₅₄(C₂xC₄) = C₁₀₄:₆C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.54(C2xC4)	416,24
C₅₂.₅₅(C₂xC₄) = C₁₀₄:₅C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.55(C2xC4)	416,25
C₅₂.₅₆(C₂xC₄) = C₁₀₄.₆C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208	2	C52.56(C2xC4)	416,26
C₅₂.₅₇(C₂xC₄) = C₂xC₅₂.₄C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208		C52.57(C2xC4)	416,142
C₅₂.₅₈(C₂xC₄) = C₂³.₂₁D₂₆	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208		C52.58(C2xC4)	416,147
C₅₂.₅₉(C₂xC₄) = C₂xC₁₃:₂C₁₆	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.59(C2xC4)	416,18
C₅₂.₆₀(C₂xC₄) = C₅₂.₄C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208	2	C52.60(C2xC4)	416,19
C₅₂.₆₁(C₂xC₄) = C₈xDic₁₃	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.61(C2xC4)	416,20
C₅₂.₆₂(C₂xC₄) = C₁₀₄:₈C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.62(C2xC4)	416,22
C₅₂.₆₃(C₂xC₄) = C₂²xC₁₃:₂C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.63(C2xC4)	416,141
C₅₂.₆₄(C₂xC₄) = C₁₃xC₄.Q₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.64(C2xC4)	416,56
C₅₂.₆₅(C₂xC₄) = C₁₃xC₂.D₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	416		C52.65(C2xC4)	416,57
C₅₂.₆₆(C₂xC₄) = C₁₃xC₈.C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208	2	C52.66(C2xC4)	416,58
C₅₂.₆₇(C₂xC₄) = C₁₃xC₄²:C₂	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208		C52.67(C2xC4)	416,178
C₅₂.₆₈(C₂xC₄) = M₄(2)xC₂₆	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₅₂	208		C52.68(C2xC4)	416,191
C₅₂.₆₉(C₂xC₄) = C₁₃xC₈:C₄	central extension (φ=1)	416		C52.69(C2xC4)	416,47
C₅₂.₇₀(C₂xC₄) = C₁₃xM₅(2)	central extension (φ=1)	208	2	C52.70(C2xC4)	416,60

Extensions 1→N→G→Q→1 with N=C52 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=C₅₂ and Q=C₂xC₄