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

Direct product G=N×Q with N=C4⋊C4 and Q=C5×S3
dρLabelID
C5×S3×C4⋊C4240C5xS3xC4:C4480,770

Semidirect products G=N:Q with N=C4⋊C4 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1(C5×S3) = C5×C6.D8φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:1(C5xS3)480,128
C4⋊C4⋊2(C5×S3) = C5×D6.D4φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:2(C5xS3)480,773
C4⋊C4⋊3(C5×S3) = C5×C12⋊D4φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:3(C5xS3)480,774
C4⋊C4⋊4(C5×S3) = C5×D6⋊Q8φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:4(C5xS3)480,775
C4⋊C4⋊5(C5×S3) = C5×C4.D12φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:5(C5xS3)480,776
C4⋊C4⋊6(C5×S3) = C5×C4⋊C4⋊S3φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4240C4:C4:6(C5xS3)480,777
C4⋊C4⋊7(C5×S3) = C5×C4⋊C4⋊7S3φ: trivial image240C4:C4:7(C5xS3)480,771
C4⋊C4⋊8(C5×S3) = C5×Dic3⋊5D4φ: trivial image240C4:C4:8(C5xS3)480,772

Non-split extensions G=N.Q with N=C4⋊C4 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
C4⋊C4.1(C5×S3) = C5×C6.Q16φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.1(C5xS3)480,126
C4⋊C4.2(C5×S3) = C5×C12.Q8φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.2(C5xS3)480,127
C4⋊C4.3(C5×S3) = C5×C6.SD16φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.3(C5xS3)480,129
C4⋊C4.4(C5×S3) = C5×C12⋊Q8φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.4(C5xS3)480,767
C4⋊C4.5(C5×S3) = C5×Dic3.Q8φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.5(C5xS3)480,768
C4⋊C4.6(C5×S3) = C5×C4.Dic6φ: C5×S3/C15 → C2 ⊆ Out C4⋊C4480C4:C4.6(C5xS3)480,769
C4⋊C4.7(C5×S3) = C5×Dic6⋊C4φ: trivial image480C4:C4.7(C5xS3)480,766

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