Extensions 1→N→G→Q→1 with N=C3 and Q=C7×C3⋊S3

Direct product G=N×Q with N=C3 and Q=C7×C3⋊S3
dρLabelID
C3⋊S3×C21126C3:S3xC21378,56

Semidirect products G=N:Q with N=C3 and Q=C7×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C3⋊(C7×C3⋊S3) = C7×C33⋊C2φ: C7×C3⋊S3/C3×C21C2 ⊆ Aut C3189C3:(C7xC3:S3)378,58

Non-split extensions G=N.Q with N=C3 and Q=C7×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C3.(C7×C3⋊S3) = C7×C9⋊S3φ: C7×C3⋊S3/C3×C21C2 ⊆ Aut C3189C3.(C7xC3:S3)378,40
C3.2(C7×C3⋊S3) = C7×He3⋊C2central stem extension (φ=1)633C3.2(C7xC3:S3)378,41

׿
×
𝔽