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

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

Semidirect products G=N:Q with N=C6 and Q=Q8×D5
extensionφ:Q→Aut NdρLabelID
C61(Q8×D5) = C2×D15⋊Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6:1(Q8xD5)480,1082
C62(Q8×D5) = C2×D5×Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6:2(Q8xD5)480,1073
C63(Q8×D5) = C2×Q8×D15φ: Q8×D5/C5×Q8C2 ⊆ Aut C6240C6:3(Q8xD5)480,1172

Non-split extensions G=N.Q with N=C6 and Q=Q8×D5
extensionφ:Q→Aut NdρLabelID
C6.1(Q8×D5) = Dic155Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.1(Q8xD5)480,401
C6.2(Q8×D5) = Dic151Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.2(Q8xD5)480,403
C6.3(Q8×D5) = Dic156Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.3(Q8xD5)480,407
C6.4(Q8×D5) = Dic15.Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.4(Q8xD5)480,412
C6.5(Q8×D5) = Dic15.2Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.5(Q8xD5)480,415
C6.6(Q8×D5) = Dic157Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.6(Q8xD5)480,420
C6.7(Q8×D5) = D308Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.7(Q8xD5)480,453
C6.8(Q8×D5) = Dic15.4Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.8(Q8xD5)480,458
C6.9(Q8×D5) = D309Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.9(Q8xD5)480,459
C6.10(Q8×D5) = Dic158Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.10(Q8xD5)480,461
C6.11(Q8×D5) = D3010Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.11(Q8xD5)480,466
C6.12(Q8×D5) = D30.Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.12(Q8xD5)480,480
C6.13(Q8×D5) = D30⋊Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.13(Q8xD5)480,487
C6.14(Q8×D5) = D302Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.14(Q8xD5)480,495
C6.15(Q8×D5) = D303Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.15(Q8xD5)480,500
C6.16(Q8×D5) = D304Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.16(Q8xD5)480,505
C6.17(Q8×D5) = D30.2Q8φ: Q8×D5/Dic10C2 ⊆ Aut C6240C6.17(Q8xD5)480,513
C6.18(Q8×D5) = C20⋊Dic6φ: Q8×D5/Dic10C2 ⊆ Aut C6480C6.18(Q8xD5)480,546
C6.19(Q8×D5) = Dic55Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.19(Q8xD5)480,399
C6.20(Q8×D5) = Dic3⋊Dic10φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.20(Q8xD5)480,404
C6.21(Q8×D5) = Dic15⋊Q8φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.21(Q8xD5)480,405
C6.22(Q8×D5) = Dic5×Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.22(Q8xD5)480,408
C6.23(Q8×D5) = Dic3017C4φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.23(Q8xD5)480,409
C6.24(Q8×D5) = Dic5.1Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.24(Q8xD5)480,410
C6.25(Q8×D5) = Dic5.2Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.25(Q8xD5)480,411
C6.26(Q8×D5) = D10⋊Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.26(Q8xD5)480,425
C6.27(Q8×D5) = C60.67D4φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.27(Q8xD5)480,435
C6.28(Q8×D5) = C60.68D4φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.28(Q8xD5)480,436
C6.29(Q8×D5) = Dic5⋊Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.29(Q8xD5)480,452
C6.30(Q8×D5) = Dic5.7Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.30(Q8xD5)480,454
C6.31(Q8×D5) = D5×Dic3⋊C4φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.31(Q8xD5)480,468
C6.32(Q8×D5) = D5×C4⋊Dic3φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.32(Q8xD5)480,488
C6.33(Q8×D5) = D101Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.33(Q8xD5)480,497
C6.34(Q8×D5) = D102Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.34(Q8xD5)480,498
C6.35(Q8×D5) = Dic15.D4φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.35(Q8xD5)480,506
C6.36(Q8×D5) = D104Dic6φ: Q8×D5/C4×D5C2 ⊆ Aut C6240C6.36(Q8xD5)480,507
C6.37(Q8×D5) = C60⋊Q8φ: Q8×D5/C4×D5C2 ⊆ Aut C6480C6.37(Q8xD5)480,544
C6.38(Q8×D5) = Dic1510Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6480C6.38(Q8xD5)480,852
C6.39(Q8×D5) = C4⋊Dic30φ: Q8×D5/C5×Q8C2 ⊆ Aut C6480C6.39(Q8xD5)480,853
C6.40(Q8×D5) = Dic15.3Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6480C6.40(Q8xD5)480,854
C6.41(Q8×D5) = C4⋊C4×D15φ: Q8×D5/C5×Q8C2 ⊆ Aut C6240C6.41(Q8xD5)480,856
C6.42(Q8×D5) = D305Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6240C6.42(Q8xD5)480,861
C6.43(Q8×D5) = D306Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6240C6.43(Q8xD5)480,862
C6.44(Q8×D5) = Dic154Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6480C6.44(Q8xD5)480,909
C6.45(Q8×D5) = Q8×Dic15φ: Q8×D5/C5×Q8C2 ⊆ Aut C6480C6.45(Q8xD5)480,910
C6.46(Q8×D5) = D307Q8φ: Q8×D5/C5×Q8C2 ⊆ Aut C6240C6.46(Q8xD5)480,911
C6.47(Q8×D5) = C3×Dic53Q8central extension (φ=1)480C6.47(Q8xD5)480,680
C6.48(Q8×D5) = C3×C20⋊Q8central extension (φ=1)480C6.48(Q8xD5)480,681
C6.49(Q8×D5) = C3×Dic5.Q8central extension (φ=1)480C6.49(Q8xD5)480,682
C6.50(Q8×D5) = C3×D5×C4⋊C4central extension (φ=1)240C6.50(Q8xD5)480,684
C6.51(Q8×D5) = C3×D10⋊Q8central extension (φ=1)240C6.51(Q8xD5)480,689
C6.52(Q8×D5) = C3×D102Q8central extension (φ=1)240C6.52(Q8xD5)480,690
C6.53(Q8×D5) = C3×Dic5⋊Q8central extension (φ=1)480C6.53(Q8xD5)480,737
C6.54(Q8×D5) = C3×Q8×Dic5central extension (φ=1)480C6.54(Q8xD5)480,738
C6.55(Q8×D5) = C3×D103Q8central extension (φ=1)240C6.55(Q8xD5)480,739

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