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

Direct product G=N×Q with N=S3×C2×C10 and Q=C2
dρLabelID
S3×C22×C10120S3xC2^2xC10240,206

Semidirect products G=N:Q with N=S3×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C10)⋊1C2 = C2×C15⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10):1C2240,145
(S3×C2×C10)⋊2C2 = C2×C5⋊D12φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10):2C2240,147
(S3×C2×C10)⋊3C2 = S3×C5⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C10604(S3xC2xC10):3C2240,150
(S3×C2×C10)⋊4C2 = C22×S3×D5φ: C2/C1C2 ⊆ Out S3×C2×C1060(S3xC2xC10):4C2240,202
(S3×C2×C10)⋊5C2 = C10×D12φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10):5C2240,167
(S3×C2×C10)⋊6C2 = C5×S3×D4φ: C2/C1C2 ⊆ Out S3×C2×C10604(S3xC2xC10):6C2240,169
(S3×C2×C10)⋊7C2 = C10×C3⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10):7C2240,174

Non-split extensions G=N.Q with N=S3×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C10).1C2 = D6⋊Dic5φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10).1C2240,27
(S3×C2×C10).2C2 = C2×S3×Dic5φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10).2C2240,142
(S3×C2×C10).3C2 = C5×D6⋊C4φ: C2/C1C2 ⊆ Out S3×C2×C10120(S3xC2xC10).3C2240,59
(S3×C2×C10).4C2 = S3×C2×C20φ: trivial image120(S3xC2xC10).4C2240,166

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