Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C2×C10

Direct product G=N×Q with N=C3⋊S3 and Q=C2×C10
dρLabelID
C3⋊S3×C2×C10180C3:S3xC2xC10360,160

Semidirect products G=N:Q with N=C3⋊S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊(C2×C10) = S32×C10φ: C2×C10/C10C2 ⊆ Out C3⋊S3604C3:S3:(C2xC10)360,153

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C2×C10) = C5×S3≀C2φ: C2×C10/C5C22 ⊆ Out C3⋊S3304C3:S3.1(C2xC10)360,132
C3⋊S3.2(C2×C10) = C5×PSU3(𝔽2)φ: C2×C10/C5C22 ⊆ Out C3⋊S3458C3:S3.2(C2xC10)360,135
C3⋊S3.3(C2×C10) = C10×C32⋊C4φ: C2×C10/C10C2 ⊆ Out C3⋊S3604C3:S3.3(C2xC10)360,148

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