Extensions 1→N→G→Q→1 with N=Dic3 and Q=D10

Direct product G=N×Q with N=Dic3 and Q=D10
dρLabelID
C2×D5×Dic3120C2xD5xDic3240,139

Semidirect products G=N:Q with N=Dic3 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic31D10 = D5×C3⋊D4φ: D10/D5C2 ⊆ Out Dic3604Dic3:1D10240,149
Dic32D10 = D10⋊D6φ: D10/D5C2 ⊆ Out Dic3604+Dic3:2D10240,151
Dic33D10 = S3×D20φ: D10/C10C2 ⊆ Out Dic3604+Dic3:3D10240,137
Dic34D10 = C2×C3⋊D20φ: D10/C10C2 ⊆ Out Dic3120Dic3:4D10240,146
Dic35D10 = C4×S3×D5φ: trivial image604Dic3:5D10240,135
Dic36D10 = C2×D30.C2φ: trivial image120Dic3:6D10240,144

Non-split extensions G=N.Q with N=Dic3 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic3.1D10 = D5×Dic6φ: D10/D5C2 ⊆ Out Dic31204-Dic3.1D10240,125
Dic3.2D10 = D20⋊S3φ: D10/D5C2 ⊆ Out Dic31204Dic3.2D10240,127
Dic3.3D10 = D15⋊Q8φ: D10/D5C2 ⊆ Out Dic31204Dic3.3D10240,131
Dic3.4D10 = C12.28D10φ: D10/D5C2 ⊆ Out Dic31204+Dic3.4D10240,134
Dic3.5D10 = C30.C23φ: D10/D5C2 ⊆ Out Dic31204-Dic3.5D10240,141
Dic3.6D10 = Dic3.D10φ: D10/D5C2 ⊆ Out Dic31204Dic3.6D10240,143
Dic3.7D10 = S3×Dic10φ: D10/C10C2 ⊆ Out Dic31204-Dic3.7D10240,128
Dic3.8D10 = D6.D10φ: D10/C10C2 ⊆ Out Dic31204Dic3.8D10240,132
Dic3.9D10 = C2×C15⋊Q8φ: D10/C10C2 ⊆ Out Dic3240Dic3.9D10240,148
Dic3.10D10 = D205S3φ: trivial image1204-Dic3.10D10240,126
Dic3.11D10 = D60⋊C2φ: trivial image1204+Dic3.11D10240,130
Dic3.12D10 = Dic5.D6φ: trivial image1204Dic3.12D10240,140

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