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Cn
Dn
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=D4.S3 and Q=C4

Direct product G=NxQ with N=D4.S3 and Q=C4
dρLabelID
C4xD4.S396C4xD4.S3192,576

Semidirect products G=N:Q with N=D4.S3 and Q=C4
extensionφ:Q→Out NdρLabelID
D4.S3:1C4 = D4.S3:C4φ: C4/C2 → C2 ⊆ Out D4.S396D4.S3:1C4192,316
D4.S3:2C4 = Dic3:6SD16φ: C4/C2 → C2 ⊆ Out D4.S396D4.S3:2C4192,317
D4.S3:3C4 = M4(2).22D6φ: C4/C2 → C2 ⊆ Out D4.S3484D4.S3:3C4192,382
D4.S3:4C4 = C42.196D6φ: C4/C2 → C2 ⊆ Out D4.S3484D4.S3:4C4192,383
D4.S3:5C4 = C42.51D6φ: C4/C2 → C2 ⊆ Out D4.S396D4.S3:5C4192,577
D4.S3:6C4 = C24.54D4φ: C4/C2 → C2 ⊆ Out D4.S3484D4.S3:6C4192,704
D4.S3:7C4 = C24.100D4φ: trivial image484D4.S3:7C4192,703


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