Extensions 1→N→G→Q→1 with N=D10 and Q=Dic6

Direct product G=N×Q with N=D10 and Q=Dic6
dρLabelID
C2×D5×Dic6240C2xD5xDic6480,1073

Semidirect products G=N:Q with N=D10 and Q=Dic6
extensionφ:Q→Out NdρLabelID
D101Dic6 = D101Dic6φ: Dic6/Dic3C2 ⊆ Out D10240D10:1Dic6480,497
D102Dic6 = D102Dic6φ: Dic6/Dic3C2 ⊆ Out D10240D10:2Dic6480,498
D103Dic6 = Dic15.D4φ: Dic6/Dic3C2 ⊆ Out D10240D10:3Dic6480,506
D104Dic6 = D104Dic6φ: Dic6/Dic3C2 ⊆ Out D10240D10:4Dic6480,507
D105Dic6 = D10⋊Dic6φ: Dic6/C12C2 ⊆ Out D10240D10:5Dic6480,425
D106Dic6 = C60.67D4φ: Dic6/C12C2 ⊆ Out D10240D10:6Dic6480,435
D107Dic6 = C60.68D4φ: Dic6/C12C2 ⊆ Out D10240D10:7Dic6480,436

Non-split extensions G=N.Q with N=D10 and Q=Dic6
extensionφ:Q→Out NdρLabelID
D10.1Dic6 = D10.Dic6φ: Dic6/Dic3C2 ⊆ Out D102408D10.1Dic6480,237
D10.2Dic6 = D10.2Dic6φ: Dic6/Dic3C2 ⊆ Out D102408D10.2Dic6480,238
D10.3Dic6 = D10.20D12φ: Dic6/Dic3C2 ⊆ Out D10120D10.3Dic6480,243
D10.4Dic6 = C2×Dic3⋊F5φ: Dic6/Dic3C2 ⊆ Out D10120D10.4Dic6480,1001
D10.5Dic6 = C40.Dic3φ: Dic6/C12C2 ⊆ Out D102404D10.5Dic6480,300
D10.6Dic6 = C24.1F5φ: Dic6/C12C2 ⊆ Out D102404D10.6Dic6480,301
D10.7Dic6 = D10.10D12φ: Dic6/C12C2 ⊆ Out D10120D10.7Dic6480,311
D10.8Dic6 = C2×C60⋊C4φ: Dic6/C12C2 ⊆ Out D10120D10.8Dic6480,1064
D10.9Dic6 = D5×Dic3⋊C4φ: trivial image240D10.9Dic6480,468
D10.10Dic6 = D5×C4⋊Dic3φ: trivial image240D10.10Dic6480,488

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