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Extensions 1→N→G→Q→1 with N=Q8 and Q=C4×S3

Direct product G=N×Q with N=Q8 and Q=C4×S3
dρLabelID
C4×S3×Q896C4xS3xQ8192,1130

Semidirect products G=N:Q with N=Q8 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
Q8⋊(C4×S3) = C4×GL2(𝔽3)φ: C4×S3/C4 → S3 ⊆ Out Q832Q8:(C4xS3)192,951
Q8⋊2(C4×S3) = Dic3⋊7SD16φ: C4×S3/Dic3 → C2 ⊆ Out Q896Q8:2(C4xS3)192,347
Q8⋊3(C4×S3) = Q8⋊3(C4×S3)φ: C4×S3/Dic3 → C2 ⊆ Out Q896Q8:3(C4xS3)192,376
Q8⋊4(C4×S3) = C4×Q8⋊2S3φ: C4×S3/C12 → C2 ⊆ Out Q896Q8:4(C4xS3)192,584
Q8⋊5(C4×S3) = C42.56D6φ: C4×S3/C12 → C2 ⊆ Out Q896Q8:5(C4xS3)192,585
Q8⋊6(C4×S3) = S3×Q8⋊C4φ: C4×S3/D6 → C2 ⊆ Out Q896Q8:6(C4xS3)192,360
Q8⋊7(C4×S3) = Q8⋊7(C4×S3)φ: C4×S3/D6 → C2 ⊆ Out Q896Q8:7(C4xS3)192,362
Q8⋊8(C4×S3) = S3×C4≀C2φ: C4×S3/D6 → C2 ⊆ Out Q8244Q8:8(C4xS3)192,379
Q8⋊9(C4×S3) = C4×Q8⋊3S3φ: trivial image96Q8:9(C4xS3)192,1132
Q8⋊10(C4×S3) = C42.126D6φ: trivial image96Q8:10(C4xS3)192,1133

Non-split extensions G=N.Q with N=Q8 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
Q8.1(C4×S3) = C4×CSU2(𝔽3)φ: C4×S3/C4 → S3 ⊆ Out Q864Q8.1(C4xS3)192,946
Q8.2(C4×S3) = CSU2(𝔽3)⋊C4φ: C4×S3/C4 → S3 ⊆ Out Q864Q8.2(C4xS3)192,947
Q8.3(C4×S3) = GL2(𝔽3)⋊C4φ: C4×S3/C4 → S3 ⊆ Out Q832Q8.3(C4xS3)192,953
Q8.4(C4×S3) = CU2(𝔽3)φ: C4×S3/C4 → S3 ⊆ Out Q8322Q8.4(C4xS3)192,963
Q8.5(C4×S3) = C8.5S4φ: C4×S3/C4 → S3 ⊆ Out Q8324Q8.5(C4xS3)192,964
Q8.6(C4×S3) = C3⋊Q16⋊C4φ: C4×S3/Dic3 → C2 ⊆ Out Q8192Q8.6(C4xS3)192,348
Q8.7(C4×S3) = Dic3⋊4Q16φ: C4×S3/Dic3 → C2 ⊆ Out Q8192Q8.7(C4xS3)192,349
Q8.8(C4×S3) = M4(2).22D6φ: C4×S3/Dic3 → C2 ⊆ Out Q8484Q8.8(C4xS3)192,382
Q8.9(C4×S3) = C42.196D6φ: C4×S3/Dic3 → C2 ⊆ Out Q8484Q8.9(C4xS3)192,383
Q8.10(C4×S3) = C4×C3⋊Q16φ: C4×S3/C12 → C2 ⊆ Out Q8192Q8.10(C4xS3)192,588
Q8.11(C4×S3) = C42.59D6φ: C4×S3/C12 → C2 ⊆ Out Q8192Q8.11(C4xS3)192,589
Q8.12(C4×S3) = C24.100D4φ: C4×S3/C12 → C2 ⊆ Out Q8484Q8.12(C4xS3)192,703
Q8.13(C4×S3) = C24.54D4φ: C4×S3/C12 → C2 ⊆ Out Q8484Q8.13(C4xS3)192,704
Q8.14(C4×S3) = (S3×Q8)⋊C4φ: C4×S3/D6 → C2 ⊆ Out Q896Q8.14(C4xS3)192,361
Q8.15(C4×S3) = C4⋊C4.150D6φ: C4×S3/D6 → C2 ⊆ Out Q896Q8.15(C4xS3)192,363
Q8.16(C4×S3) = C42⋊3D6φ: C4×S3/D6 → C2 ⊆ Out Q8484Q8.16(C4xS3)192,380
Q8.17(C4×S3) = C42.125D6φ: trivial image96Q8.17(C4xS3)192,1131
Q8.18(C4×S3) = S3×C8○D4φ: trivial image484Q8.18(C4xS3)192,1308
Q8.19(C4×S3) = M4(2)⋊28D6φ: trivial image484Q8.19(C4xS3)192,1309

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