Extensions 1→N→G→Q→1 with N=C7×C3⋊S3 and Q=C2

Direct product G=N×Q with N=C7×C3⋊S3 and Q=C2
dρLabelID
C14×C3⋊S3126C14xC3:S3252,44

Semidirect products G=N:Q with N=C7×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C3⋊S3)⋊1C2 = D7×C3⋊S3φ: C2/C1C2 ⊆ Out C7×C3⋊S363(C7xC3:S3):1C2252,34
(C7×C3⋊S3)⋊2C2 = D21⋊S3φ: C2/C1C2 ⊆ Out C7×C3⋊S3424(C7xC3:S3):2C2252,37
(C7×C3⋊S3)⋊3C2 = S32×C7φ: C2/C1C2 ⊆ Out C7×C3⋊S3424(C7xC3:S3):3C2252,35

Non-split extensions G=N.Q with N=C7×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C3⋊S3).1C2 = C7×C32⋊C4φ: C2/C1C2 ⊆ Out C7×C3⋊S3424(C7xC3:S3).1C2252,31
(C7×C3⋊S3).2C2 = C32⋊Dic7φ: C2/C1C2 ⊆ Out C7×C3⋊S3424(C7xC3:S3).2C2252,32

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