Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC17

Direct product G=NxQ with N=C4 and Q=S3xC17
dρLabelID
S3xC682042S3xC68408,21

Semidirect products G=N:Q with N=C4 and Q=S3xC17
extensionφ:Q→Aut NdρLabelID
C4:(S3xC17) = C17xD12φ: S3xC17/C51C2 ⊆ Aut C42042C4:(S3xC17)408,22

Non-split extensions G=N.Q with N=C4 and Q=S3xC17
extensionφ:Q→Aut NdρLabelID
C4.(S3xC17) = C17xDic6φ: S3xC17/C51C2 ⊆ Aut C44082C4.(S3xC17)408,20
C4.2(S3xC17) = C17xC3:C8central extension (φ=1)4082C4.2(S3xC17)408,1

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