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Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=C5×S3

Direct product G=N×Q with N=C2×Q8 and Q=C5×S3
dρLabelID
S3×Q8×C10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C2×Q8 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1(C5×S3) = C10×GL2(𝔽3)φ: C5×S3/C5 → S3 ⊆ Out C2×Q880(C2xQ8):1(C5xS3)480,1017
(C2×Q8)⋊2(C5×S3) = C5×Q8.D6φ: C5×S3/C5 → S3 ⊆ Out C2×Q8804(C2xQ8):2(C5xS3)480,1018
(C2×Q8)⋊3(C5×S3) = C10×Q8⋊2S3φ: C5×S3/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):3(C5xS3)480,820
(C2×Q8)⋊4(C5×S3) = C5×Q8.11D6φ: C5×S3/C15 → C2 ⊆ Out C2×Q82404(C2xQ8):4(C5xS3)480,821
(C2×Q8)⋊5(C5×S3) = C5×D6⋊3Q8φ: C5×S3/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):5(C5xS3)480,825
(C2×Q8)⋊6(C5×S3) = C5×C12.23D4φ: C5×S3/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):6(C5xS3)480,826
(C2×Q8)⋊7(C5×S3) = C5×Q8.15D6φ: C5×S3/C15 → C2 ⊆ Out C2×Q82404(C2xQ8):7(C5xS3)480,1159
(C2×Q8)⋊8(C5×S3) = C10×Q8⋊3S3φ: trivial image240(C2xQ8):8(C5xS3)480,1158

Non-split extensions G=N.Q with N=C2×Q8 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
(C2×Q8).1(C5×S3) = C5×Q8⋊Dic3φ: C5×S3/C5 → S3 ⊆ Out C2×Q8160(C2xQ8).1(C5xS3)480,256
(C2×Q8).2(C5×S3) = C10×CSU2(𝔽3)φ: C5×S3/C5 → S3 ⊆ Out C2×Q8160(C2xQ8).2(C5xS3)480,1016
(C2×Q8).3(C5×S3) = C5×Q8⋊2Dic3φ: C5×S3/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).3(C5xS3)480,154
(C2×Q8).4(C5×S3) = C5×C12.10D4φ: C5×S3/C15 → C2 ⊆ Out C2×Q82404(C2xQ8).4(C5xS3)480,155
(C2×Q8).5(C5×S3) = C10×C3⋊Q16φ: C5×S3/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).5(C5xS3)480,822
(C2×Q8).6(C5×S3) = C5×Dic3⋊Q8φ: C5×S3/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).6(C5xS3)480,823
(C2×Q8).7(C5×S3) = C5×Q8×Dic3φ: trivial image480(C2xQ8).7(C5xS3)480,824

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