Extensions 1→N→G→Q→1 with N=C13:2C16 and Q=C2

Direct product G=NxQ with N=C13:2C16 and Q=C2
dρLabelID
C2xC13:2C16416C2xC13:2C16416,18

Semidirect products G=N:Q with N=C13:2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C13:2C16:1C2 = C13:D16φ: C2/C1C2 ⊆ Out C13:2C162084+C13:2C16:1C2416,33
C13:2C16:2C2 = D8.D13φ: C2/C1C2 ⊆ Out C13:2C162084-C13:2C16:2C2416,34
C13:2C16:3C2 = C8.6D26φ: C2/C1C2 ⊆ Out C13:2C162084+C13:2C16:3C2416,35
C13:2C16:4C2 = C208:C2φ: C2/C1C2 ⊆ Out C13:2C162082C13:2C16:4C2416,5
C13:2C16:5C2 = C52.4C8φ: C2/C1C2 ⊆ Out C13:2C162082C13:2C16:5C2416,19
C13:2C16:6C2 = C16xD13φ: trivial image2082C13:2C16:6C2416,4

Non-split extensions G=N.Q with N=C13:2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
C13:2C16.1C2 = C13:Q32φ: C2/C1C2 ⊆ Out C13:2C164164-C13:2C16.1C2416,36
C13:2C16.2C2 = C13:C32φ: C2/C1C2 ⊆ Out C13:2C164164C13:2C16.2C2416,3

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