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Extensions 1→N→G→Q→1 with N=Dic10 and Q=C2×C6

Direct product G=N×Q with N=Dic10 and Q=C2×C6
dρLabelID
C2×C6×Dic10480C2xC6xDic10480,1135

Semidirect products G=N:Q with N=Dic10 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic10⋊1(C2×C6) = C3×D8⋊D5φ: C2×C6/C3 → C22 ⊆ Out Dic101204Dic10:1(C2xC6)480,704
Dic10⋊2(C2×C6) = C3×D5×SD16φ: C2×C6/C3 → C22 ⊆ Out Dic101204Dic10:2(C2xC6)480,706
Dic10⋊3(C2×C6) = C6×C40⋊C2φ: C2×C6/C6 → C2 ⊆ Out Dic10240Dic10:3(C2xC6)480,695
Dic10⋊4(C2×C6) = C3×C8⋊D10φ: C2×C6/C6 → C2 ⊆ Out Dic101204Dic10:4(C2xC6)480,701
Dic10⋊5(C2×C6) = C3×D4.D10φ: C2×C6/C6 → C2 ⊆ Out Dic101204Dic10:5(C2xC6)480,725
Dic10⋊6(C2×C6) = C6×D4.D5φ: C2×C6/C6 → C2 ⊆ Out Dic10240Dic10:6(C2xC6)480,726
Dic10⋊7(C2×C6) = C6×D4⋊2D5φ: C2×C6/C6 → C2 ⊆ Out Dic10240Dic10:7(C2xC6)480,1140
Dic10⋊8(C2×C6) = C3×D4⋊6D10φ: C2×C6/C6 → C2 ⊆ Out Dic101204Dic10:8(C2xC6)480,1141
Dic10⋊9(C2×C6) = C6×Q8×D5φ: C2×C6/C6 → C2 ⊆ Out Dic10240Dic10:9(C2xC6)480,1142
Dic10⋊10(C2×C6) = C3×D5×C4○D4φ: C2×C6/C6 → C2 ⊆ Out Dic101204Dic10:10(C2xC6)480,1145
Dic10⋊11(C2×C6) = C6×C4○D20φ: trivial image240Dic10:11(C2xC6)480,1138
Dic10⋊12(C2×C6) = C3×D4⋊8D10φ: trivial image1204Dic10:12(C2xC6)480,1146

Non-split extensions G=N.Q with N=Dic10 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic10.1(C2×C6) = C3×D8⋊3D5φ: C2×C6/C3 → C22 ⊆ Out Dic102404Dic10.1(C2xC6)480,705
Dic10.2(C2×C6) = C3×SD16⋊D5φ: C2×C6/C3 → C22 ⊆ Out Dic102404Dic10.2(C2xC6)480,708
Dic10.3(C2×C6) = C3×SD16⋊3D5φ: C2×C6/C3 → C22 ⊆ Out Dic102404Dic10.3(C2xC6)480,709
Dic10.4(C2×C6) = C3×D5×Q16φ: C2×C6/C3 → C22 ⊆ Out Dic102404Dic10.4(C2xC6)480,710
Dic10.5(C2×C6) = C3×Q16⋊D5φ: C2×C6/C3 → C22 ⊆ Out Dic102404Dic10.5(C2xC6)480,711
Dic10.6(C2×C6) = C3×D40⋊7C2φ: C2×C6/C6 → C2 ⊆ Out Dic102402Dic10.6(C2xC6)480,697
Dic10.7(C2×C6) = C6×Dic20φ: C2×C6/C6 → C2 ⊆ Out Dic10480Dic10.7(C2xC6)480,698
Dic10.8(C2×C6) = C3×C8.D10φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.8(C2xC6)480,702
Dic10.9(C2×C6) = C3×C20.C23φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.9(C2xC6)480,735
Dic10.10(C2×C6) = C6×C5⋊Q16φ: C2×C6/C6 → C2 ⊆ Out Dic10480Dic10.10(C2xC6)480,736
Dic10.11(C2×C6) = C3×D4.8D10φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.11(C2xC6)480,743
Dic10.12(C2×C6) = C3×D4.9D10φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.12(C2xC6)480,744
Dic10.13(C2×C6) = C3×Q8.10D10φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.13(C2xC6)480,1144
Dic10.14(C2×C6) = C3×D4.10D10φ: C2×C6/C6 → C2 ⊆ Out Dic102404Dic10.14(C2xC6)480,1147

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