Extensions 1→N→G→Q→1 with N=C2×S3×F5 and Q=C2

Direct product G=N×Q with N=C2×S3×F5 and Q=C2
dρLabelID
C22×S3×F560C2^2xS3xF5480,1197

Semidirect products G=N:Q with N=C2×S3×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3×F5)⋊1C2 = F5×D12φ: C2/C1C2 ⊆ Out C2×S3×F5608+(C2xS3xF5):1C2480,995
(C2×S3×F5)⋊2C2 = D603C4φ: C2/C1C2 ⊆ Out C2×S3×F5608+(C2xS3xF5):2C2480,997
(C2×S3×F5)⋊3C2 = F5×C3⋊D4φ: C2/C1C2 ⊆ Out C2×S3×F5608(C2xS3xF5):3C2480,1010
(C2×S3×F5)⋊4C2 = S3×C22⋊F5φ: C2/C1C2 ⊆ Out C2×S3×F5608+(C2xS3xF5):4C2480,1011
(C2×S3×F5)⋊5C2 = C3⋊D4⋊F5φ: C2/C1C2 ⊆ Out C2×S3×F5608(C2xS3xF5):5C2480,1012

Non-split extensions G=N.Q with N=C2×S3×F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3×F5).C2 = S3×C4⋊F5φ: C2/C1C2 ⊆ Out C2×S3×F5608(C2xS3xF5).C2480,996
(C2×S3×F5).2C2 = C4×S3×F5φ: trivial image608(C2xS3xF5).2C2480,994

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