Extensions 1→N→G→Q→1 with N=C13xM4(2) and Q=C2

Direct product G=NxQ with N=C13xM4(2) and Q=C2
dρLabelID
M4(2)xC26208M4(2)xC26416,191

Semidirect products G=N:Q with N=C13xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C13xM4(2)):1C2 = C8:D26φ: C2/C1C2 ⊆ Out C13xM4(2)1044+(C13xM4(2)):1C2416,129
(C13xM4(2)):2C2 = C8.D26φ: C2/C1C2 ⊆ Out C13xM4(2)2084-(C13xM4(2)):2C2416,130
(C13xM4(2)):3C2 = M4(2)xD13φ: C2/C1C2 ⊆ Out C13xM4(2)1044(C13xM4(2)):3C2416,127
(C13xM4(2)):4C2 = D52.2C4φ: C2/C1C2 ⊆ Out C13xM4(2)2084(C13xM4(2)):4C2416,128
(C13xM4(2)):5C2 = C13xC8:C22φ: C2/C1C2 ⊆ Out C13xM4(2)1044(C13xM4(2)):5C2416,197
(C13xM4(2)):6C2 = C13xC8.C22φ: C2/C1C2 ⊆ Out C13xM4(2)2084(C13xM4(2)):6C2416,198
(C13xM4(2)):7C2 = C52.46D4φ: C2/C1C2 ⊆ Out C13xM4(2)1044+(C13xM4(2)):7C2416,30
(C13xM4(2)):8C2 = D52:7C4φ: C2/C1C2 ⊆ Out C13xM4(2)1044(C13xM4(2)):8C2416,32
(C13xM4(2)):9C2 = C13xC4.D4φ: C2/C1C2 ⊆ Out C13xM4(2)1044(C13xM4(2)):9C2416,50
(C13xM4(2)):10C2 = C13xC4wrC2φ: C2/C1C2 ⊆ Out C13xM4(2)1042(C13xM4(2)):10C2416,54
(C13xM4(2)):11C2 = C13xC8oD4φ: trivial image2082(C13xM4(2)):11C2416,192

Non-split extensions G=N.Q with N=C13xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C13xM4(2)).1C2 = C52.53D4φ: C2/C1C2 ⊆ Out C13xM4(2)2084(C13xM4(2)).1C2416,29
(C13xM4(2)).2C2 = C4.12D52φ: C2/C1C2 ⊆ Out C13xM4(2)2084-(C13xM4(2)).2C2416,31
(C13xM4(2)).3C2 = C13xC4.10D4φ: C2/C1C2 ⊆ Out C13xM4(2)2084(C13xM4(2)).3C2416,51
(C13xM4(2)).4C2 = C13xC8.C4φ: C2/C1C2 ⊆ Out C13xM4(2)2082(C13xM4(2)).4C2416,58

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