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Extensions 1→N→G→Q→1 with N=C13×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C13×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C26416C4:C4xC26416,177

Semidirect products G=N:Q with N=C13×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C13×C4⋊C4)⋊1C2 = D52⋊6C4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):1C2416,16
(C13×C4⋊C4)⋊2C2 = C4⋊C4×D13φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):2C2416,112
(C13×C4⋊C4)⋊3C2 = C4⋊C4⋊7D13φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):3C2416,113
(C13×C4⋊C4)⋊4C2 = D52⋊8C4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):4C2416,114
(C13×C4⋊C4)⋊5C2 = D26.13D4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):5C2416,115
(C13×C4⋊C4)⋊6C2 = C4⋊2D52φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):6C2416,116
(C13×C4⋊C4)⋊7C2 = D26⋊Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):7C2416,117
(C13×C4⋊C4)⋊8C2 = D26⋊2Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):8C2416,118
(C13×C4⋊C4)⋊9C2 = C4⋊C4⋊D13φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):9C2416,119
(C13×C4⋊C4)⋊10C2 = C13×D4⋊C4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):10C2416,52
(C13×C4⋊C4)⋊11C2 = C13×C4⋊D4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):11C2416,182
(C13×C4⋊C4)⋊12C2 = C13×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):12C2416,183
(C13×C4⋊C4)⋊13C2 = C13×C22.D4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):13C2416,184
(C13×C4⋊C4)⋊14C2 = C13×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4208(C13xC4:C4):14C2416,187
(C13×C4⋊C4)⋊15C2 = C13×C42⋊C2φ: trivial image208(C13xC4:C4):15C2416,178
(C13×C4⋊C4)⋊16C2 = D4×C52φ: trivial image208(C13xC4:C4):16C2416,179

Non-split extensions G=N.Q with N=C13×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C13×C4⋊C4).1C2 = C26.D8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).1C2416,14
(C13×C4⋊C4).2C2 = C52.Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).2C2416,15
(C13×C4⋊C4).3C2 = C26.Q16φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).3C2416,17
(C13×C4⋊C4).4C2 = Dic13⋊3Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).4C2416,108
(C13×C4⋊C4).5C2 = C52⋊Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).5C2416,109
(C13×C4⋊C4).6C2 = Dic13.Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).6C2416,110
(C13×C4⋊C4).7C2 = C4.Dic26φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).7C2416,111
(C13×C4⋊C4).8C2 = C13×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).8C2416,53
(C13×C4⋊C4).9C2 = C13×C4.Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).9C2416,56
(C13×C4⋊C4).10C2 = C13×C2.D8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).10C2416,57
(C13×C4⋊C4).11C2 = C13×C42.C2φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).11C2416,186
(C13×C4⋊C4).12C2 = C13×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C13×C4⋊C4416(C13xC4:C4).12C2416,189
(C13×C4⋊C4).13C2 = Q8×C52φ: trivial image416(C13xC4:C4).13C2416,180

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