Extensions 1→N→G→Q→1 with N=C3xQ8 and Q=C2

Direct product G=NxQ with N=C3xQ8 and Q=C2
dρLabelID
C6xQ848C6xQ848,46

Semidirect products G=N:Q with N=C3xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xQ8):1C2 = Q8:2S3φ: C2/C1C2 ⊆ Out C3xQ8244+(C3xQ8):1C248,17
(C3xQ8):2C2 = S3xQ8φ: C2/C1C2 ⊆ Out C3xQ8244-(C3xQ8):2C248,40
(C3xQ8):3C2 = Q8:3S3φ: C2/C1C2 ⊆ Out C3xQ8244+(C3xQ8):3C248,41
(C3xQ8):4C2 = C3xSD16φ: C2/C1C2 ⊆ Out C3xQ8242(C3xQ8):4C248,26
(C3xQ8):5C2 = C3xC4oD4φ: trivial image242(C3xQ8):5C248,47

Non-split extensions G=N.Q with N=C3xQ8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xQ8).1C2 = C3:Q16φ: C2/C1C2 ⊆ Out C3xQ8484-(C3xQ8).1C248,18
(C3xQ8).2C2 = C3xQ16φ: C2/C1C2 ⊆ Out C3xQ8482(C3xQ8).2C248,27

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