# Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C5×S3

Direct product G=N×Q with N=C22⋊C4 and Q=C5×S3
dρLabelID
C5×S3×C22⋊C4120C5xS3xC2^2:C4480,759

Semidirect products G=N:Q with N=C22⋊C4 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
C22⋊C41(C5×S3) = C5×C23.6D6φ: C5×S3/C15C2 ⊆ Out C22⋊C41204C2^2:C4:1(C5xS3)480,125
C22⋊C42(C5×S3) = C5×D6⋊D4φ: C5×S3/C15C2 ⊆ Out C22⋊C4120C2^2:C4:2(C5xS3)480,761
C22⋊C43(C5×S3) = C5×C23.9D6φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4:3(C5xS3)480,762
C22⋊C44(C5×S3) = C5×Dic3⋊D4φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4:4(C5xS3)480,763
C22⋊C45(C5×S3) = C5×C23.11D6φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4:5(C5xS3)480,764
C22⋊C46(C5×S3) = C5×C23.21D6φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4:6(C5xS3)480,765
C22⋊C47(C5×S3) = C5×Dic34D4φ: trivial image240C2^2:C4:7(C5xS3)480,760

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
C22⋊C4.1(C5×S3) = C5×Dic3.D4φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4.1(C5xS3)480,757
C22⋊C4.2(C5×S3) = C5×C23.8D6φ: C5×S3/C15C2 ⊆ Out C22⋊C4240C2^2:C4.2(C5xS3)480,758
C22⋊C4.3(C5×S3) = C5×C23.16D6φ: trivial image240C2^2:C4.3(C5xS3)480,756

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