Extensions 1→N→G→Q→1 with N=C3:C8 and Q=C2

Direct product G=NxQ with N=C3:C8 and Q=C2
dρLabelID
C2xC3:C848C2xC3:C848,9

Semidirect products G=N:Q with N=C3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C3:C8:1C2 = D4:S3φ: C2/C1C2 ⊆ Out C3:C8244+C3:C8:1C248,15
C3:C8:2C2 = D4.S3φ: C2/C1C2 ⊆ Out C3:C8244-C3:C8:2C248,16
C3:C8:3C2 = Q8:2S3φ: C2/C1C2 ⊆ Out C3:C8244+C3:C8:3C248,17
C3:C8:4C2 = C8:S3φ: C2/C1C2 ⊆ Out C3:C8242C3:C8:4C248,5
C3:C8:5C2 = C4.Dic3φ: C2/C1C2 ⊆ Out C3:C8242C3:C8:5C248,10
C3:C8:6C2 = S3xC8φ: trivial image242C3:C8:6C248,4

Non-split extensions G=N.Q with N=C3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C3:C8.C2 = C3:Q16φ: C2/C1C2 ⊆ Out C3:C8484-C3:C8.C248,18

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