Extensions 1→N→G→Q→1 with N=C5×C3⋊S3 and Q=C2

Direct product G=N×Q with N=C5×C3⋊S3 and Q=C2
dρLabelID
C10×C3⋊S390C10xC3:S3180,35

Semidirect products G=N:Q with N=C5×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C3⋊S3)⋊1C2 = D5×C3⋊S3φ: C2/C1C2 ⊆ Out C5×C3⋊S345(C5xC3:S3):1C2180,27
(C5×C3⋊S3)⋊2C2 = D15⋊S3φ: C2/C1C2 ⊆ Out C5×C3⋊S3304(C5xC3:S3):2C2180,30
(C5×C3⋊S3)⋊3C2 = C5×S32φ: C2/C1C2 ⊆ Out C5×C3⋊S3304(C5xC3:S3):3C2180,28

Non-split extensions G=N.Q with N=C5×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C3⋊S3).1C2 = C5×C32⋊C4φ: C2/C1C2 ⊆ Out C5×C3⋊S3304(C5xC3:S3).1C2180,23
(C5×C3⋊S3).2C2 = C32⋊Dic5φ: C2/C1C2 ⊆ Out C5×C3⋊S3304(C5xC3:S3).2C2180,24

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