Extensions 1→N→G→Q→1 with N=C6xD11 and Q=C2

Direct product G=NxQ with N=C6xD11 and Q=C2
dρLabelID
C2xC6xD11132C2xC6xD11264,36

Semidirect products G=N:Q with N=C6xD11 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xD11):1C2 = C33:D4φ: C2/C1C2 ⊆ Out C6xD111324-(C6xD11):1C2264,8
(C6xD11):2C2 = C3:D44φ: C2/C1C2 ⊆ Out C6xD111324+(C6xD11):2C2264,9
(C6xD11):3C2 = C2xS3xD11φ: C2/C1C2 ⊆ Out C6xD11664+(C6xD11):3C2264,34
(C6xD11):4C2 = C3xD44φ: C2/C1C2 ⊆ Out C6xD111322(C6xD11):4C2264,15
(C6xD11):5C2 = C3xC11:D4φ: C2/C1C2 ⊆ Out C6xD111322(C6xD11):5C2264,17

Non-split extensions G=N.Q with N=C6xD11 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xD11).C2 = Dic3xD11φ: C2/C1C2 ⊆ Out C6xD111324-(C6xD11).C2264,5
(C6xD11).2C2 = C12xD11φ: trivial image1322(C6xD11).2C2264,14

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