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Extensions 1→N→G→Q→1 with N=Q8 and Q=S3×D5

Direct product G=N×Q with N=Q8 and Q=S3×D5
dρLabelID
S3×Q8×D51208-S3xQ8xD5480,1107

Semidirect products G=N:Q with N=Q8 and Q=S3×D5
extensionφ:Q→Out NdρLabelID
Q8⋊(S3×D5) = D5×GL2(𝔽3)φ: S3×D5/D5 → S3 ⊆ Out Q8404Q8:(S3xD5)480,974
Q8⋊2(S3×D5) = S3×Q8⋊D5φ: S3×D5/C5×S3 → C2 ⊆ Out Q81208+Q8:2(S3xD5)480,579
Q8⋊3(S3×D5) = D12⋊D10φ: S3×D5/C5×S3 → C2 ⊆ Out Q81208+Q8:3(S3xD5)480,580
Q8⋊4(S3×D5) = D5×Q8⋊2S3φ: S3×D5/C3×D5 → C2 ⊆ Out Q81208+Q8:4(S3xD5)480,577
Q8⋊5(S3×D5) = D20⋊D6φ: S3×D5/C3×D5 → C2 ⊆ Out Q81208+Q8:5(S3xD5)480,578
Q8⋊6(S3×D5) = D15⋊SD16φ: S3×D5/D15 → C2 ⊆ Out Q81208-Q8:6(S3xD5)480,581
Q8⋊7(S3×D5) = D60⋊C22φ: S3×D5/D15 → C2 ⊆ Out Q81208+Q8:7(S3xD5)480,582
Q8⋊8(S3×D5) = D5×Q8⋊3S3φ: trivial image1208+Q8:8(S3xD5)480,1108
Q8⋊9(S3×D5) = S3×Q8⋊2D5φ: trivial image1208+Q8:9(S3xD5)480,1109
Q8⋊10(S3×D5) = D20⋊16D6φ: trivial image1208-Q8:10(S3xD5)480,1110
Q8⋊11(S3×D5) = D20⋊17D6φ: trivial image1208+Q8:11(S3xD5)480,1111

Non-split extensions G=N.Q with N=Q8 and Q=S3×D5
extensionφ:Q→Out NdρLabelID
Q8.1(S3×D5) = CSU2(𝔽3)⋊D5φ: S3×D5/D5 → S3 ⊆ Out Q81604Q8.1(S3xD5)480,967
Q8.2(S3×D5) = Dic5.6S4φ: S3×D5/D5 → S3 ⊆ Out Q8804Q8.2(S3xD5)480,968
Q8.3(S3×D5) = Dic5.7S4φ: S3×D5/D5 → S3 ⊆ Out Q8804+Q8.3(S3xD5)480,969
Q8.4(S3×D5) = GL2(𝔽3)⋊D5φ: S3×D5/D5 → S3 ⊆ Out Q8804+Q8.4(S3xD5)480,970
Q8.5(S3×D5) = D5×CSU2(𝔽3)φ: S3×D5/D5 → S3 ⊆ Out Q8804-Q8.5(S3xD5)480,971
Q8.6(S3×D5) = D10.1S4φ: S3×D5/D5 → S3 ⊆ Out Q8804-Q8.6(S3xD5)480,972
Q8.7(S3×D5) = D10.2S4φ: S3×D5/D5 → S3 ⊆ Out Q8804Q8.7(S3xD5)480,973
Q8.8(S3×D5) = S3×C5⋊Q16φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408-Q8.8(S3xD5)480,585
Q8.9(S3×D5) = Dic10.26D6φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408-Q8.9(S3xD5)480,586
Q8.10(S3×D5) = D20.27D6φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408-Q8.10(S3xD5)480,593
Q8.11(S3×D5) = D20.28D6φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408-Q8.11(S3xD5)480,594
Q8.12(S3×D5) = Dic10.27D6φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408+Q8.12(S3xD5)480,595
Q8.13(S3×D5) = C60.44C23φ: S3×D5/C5×S3 → C2 ⊆ Out Q82408+Q8.13(S3xD5)480,596
Q8.14(S3×D5) = D5×C3⋊Q16φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408-Q8.14(S3xD5)480,583
Q8.15(S3×D5) = D20.13D6φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408-Q8.15(S3xD5)480,584
Q8.16(S3×D5) = D12.27D10φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408-Q8.16(S3xD5)480,589
Q8.17(S3×D5) = D20.14D6φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408-Q8.17(S3xD5)480,590
Q8.18(S3×D5) = C60.39C23φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408+Q8.18(S3xD5)480,591
Q8.19(S3×D5) = D20.D6φ: S3×D5/C3×D5 → C2 ⊆ Out Q82408+Q8.19(S3xD5)480,592
Q8.20(S3×D5) = D15⋊Q16φ: S3×D5/D15 → C2 ⊆ Out Q82408-Q8.20(S3xD5)480,587
Q8.21(S3×D5) = C60.C23φ: S3×D5/D15 → C2 ⊆ Out Q82408+Q8.21(S3xD5)480,588
Q8.22(S3×D5) = D20.16D6φ: S3×D5/D15 → C2 ⊆ Out Q82408+Q8.22(S3xD5)480,597
Q8.23(S3×D5) = D20.17D6φ: S3×D5/D15 → C2 ⊆ Out Q82408-Q8.23(S3xD5)480,598
Q8.24(S3×D5) = D12.D10φ: S3×D5/D15 → C2 ⊆ Out Q82408+Q8.24(S3xD5)480,599
Q8.25(S3×D5) = D30.44D4φ: S3×D5/D15 → C2 ⊆ Out Q82408-Q8.25(S3xD5)480,600
Q8.26(S3×D5) = D20.29D6φ: trivial image2408-Q8.26(S3xD5)480,1104
Q8.27(S3×D5) = C30.33C24φ: trivial image2408+Q8.27(S3xD5)480,1105
Q8.28(S3×D5) = D12.29D10φ: trivial image2408-Q8.28(S3xD5)480,1106

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