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Extensions 1→N→G→Q→1 with N=Q8 and Q=C6×D5

Direct product G=N×Q with N=Q8 and Q=C6×D5
dρLabelID
C6×Q8×D5240C6xQ8xD5480,1142

Semidirect products G=N:Q with N=Q8 and Q=C6×D5
extensionφ:Q→Out NdρLabelID
Q8⋊(C6×D5) = C2×D5×SL2(𝔽3)φ: C6×D5/D10 → C3 ⊆ Out Q880Q8:(C6xD5)480,1039
Q8⋊2(C6×D5) = C3×D5×SD16φ: C6×D5/C3×D5 → C2 ⊆ Out Q81204Q8:2(C6xD5)480,706
Q8⋊3(C6×D5) = C3×D40⋊C2φ: C6×D5/C3×D5 → C2 ⊆ Out Q81204Q8:3(C6xD5)480,707
Q8⋊4(C6×D5) = C6×Q8⋊D5φ: C6×D5/C30 → C2 ⊆ Out Q8240Q8:4(C6xD5)480,734
Q8⋊5(C6×D5) = C3×D4⋊D10φ: C6×D5/C30 → C2 ⊆ Out Q81204Q8:5(C6xD5)480,742
Q8⋊6(C6×D5) = C6×Q8⋊2D5φ: trivial image240Q8:6(C6xD5)480,1143
Q8⋊7(C6×D5) = C3×D5×C4○D4φ: trivial image1204Q8:7(C6xD5)480,1145
Q8⋊8(C6×D5) = C3×D4⋊8D10φ: trivial image1204Q8:8(C6xD5)480,1146

Non-split extensions G=N.Q with N=Q8 and Q=C6×D5
extensionφ:Q→Out NdρLabelID
Q8.1(C6×D5) = C2×Dic5.A4φ: C6×D5/D10 → C3 ⊆ Out Q8160Q8.1(C6xD5)480,1038
Q8.2(C6×D5) = SL2(𝔽3).11D10φ: C6×D5/D10 → C3 ⊆ Out Q8804Q8.2(C6xD5)480,1040
Q8.3(C6×D5) = Dic10.A4φ: C6×D5/D10 → C3 ⊆ Out Q81204+Q8.3(C6xD5)480,1041
Q8.4(C6×D5) = D5×C4.A4φ: C6×D5/D10 → C3 ⊆ Out Q8804Q8.4(C6xD5)480,1042
Q8.5(C6×D5) = D20.A4φ: C6×D5/D10 → C3 ⊆ Out Q8804-Q8.5(C6xD5)480,1043
Q8.6(C6×D5) = C3×SD16⋊D5φ: C6×D5/C3×D5 → C2 ⊆ Out Q82404Q8.6(C6xD5)480,708
Q8.7(C6×D5) = C3×SD16⋊3D5φ: C6×D5/C3×D5 → C2 ⊆ Out Q82404Q8.7(C6xD5)480,709
Q8.8(C6×D5) = C3×D5×Q16φ: C6×D5/C3×D5 → C2 ⊆ Out Q82404Q8.8(C6xD5)480,710
Q8.9(C6×D5) = C3×Q16⋊D5φ: C6×D5/C3×D5 → C2 ⊆ Out Q82404Q8.9(C6xD5)480,711
Q8.10(C6×D5) = C3×Q8.D10φ: C6×D5/C3×D5 → C2 ⊆ Out Q82404Q8.10(C6xD5)480,712
Q8.11(C6×D5) = C3×C20.C23φ: C6×D5/C30 → C2 ⊆ Out Q82404Q8.11(C6xD5)480,735
Q8.12(C6×D5) = C6×C5⋊Q16φ: C6×D5/C30 → C2 ⊆ Out Q8480Q8.12(C6xD5)480,736
Q8.13(C6×D5) = C3×D4.8D10φ: C6×D5/C30 → C2 ⊆ Out Q82404Q8.13(C6xD5)480,743
Q8.14(C6×D5) = C3×D4.9D10φ: C6×D5/C30 → C2 ⊆ Out Q82404Q8.14(C6xD5)480,744
Q8.15(C6×D5) = C3×Q8.10D10φ: trivial image2404Q8.15(C6xD5)480,1144
Q8.16(C6×D5) = C3×D4.10D10φ: trivial image2404Q8.16(C6xD5)480,1147

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