# Extensions 1→N→G→Q→1 with N=C3×Dic15 and Q=C2

Direct product G=N×Q with N=C3×Dic15 and Q=C2
dρLabelID
C6×Dic15120C6xDic15360,103

Semidirect products G=N:Q with N=C3×Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Dic15)⋊1C2 = C3×C157D4φ: C2/C1C2 ⊆ Out C3×Dic15602(C3xDic15):1C2360,104
(C3×Dic15)⋊2C2 = C3×D5×Dic3φ: C2/C1C2 ⊆ Out C3×Dic15604(C3xDic15):2C2360,58
(C3×Dic15)⋊3C2 = C3×S3×Dic5φ: C2/C1C2 ⊆ Out C3×Dic151204(C3xDic15):3C2360,59
(C3×Dic15)⋊4C2 = C3×C15⋊D4φ: C2/C1C2 ⊆ Out C3×Dic15604(C3xDic15):4C2360,61
(C3×Dic15)⋊5C2 = S3×Dic15φ: C2/C1C2 ⊆ Out C3×Dic151204-(C3xDic15):5C2360,78
(C3×Dic15)⋊6C2 = C6.D30φ: C2/C1C2 ⊆ Out C3×Dic15604+(C3xDic15):6C2360,79
(C3×Dic15)⋊7C2 = D62D15φ: C2/C1C2 ⊆ Out C3×Dic15604+(C3xDic15):7C2360,82
(C3×Dic15)⋊8C2 = D30.S3φ: C2/C1C2 ⊆ Out C3×Dic151204(C3xDic15):8C2360,84
(C3×Dic15)⋊9C2 = Dic15⋊S3φ: C2/C1C2 ⊆ Out C3×Dic15604(C3xDic15):9C2360,85
(C3×Dic15)⋊10C2 = D30⋊S3φ: C2/C1C2 ⊆ Out C3×Dic15604(C3xDic15):10C2360,86
(C3×Dic15)⋊11C2 = C12×D15φ: trivial image1202(C3xDic15):11C2360,101

Non-split extensions G=N.Q with N=C3×Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Dic15).1C2 = C3×Dic30φ: C2/C1C2 ⊆ Out C3×Dic151202(C3xDic15).1C2360,100
(C3×Dic15).2C2 = C3×C15⋊Q8φ: C2/C1C2 ⊆ Out C3×Dic151204(C3xDic15).2C2360,64
(C3×Dic15).3C2 = C3⋊Dic30φ: C2/C1C2 ⊆ Out C3×Dic151204-(C3xDic15).3C2360,83
(C3×Dic15).4C2 = C323Dic10φ: C2/C1C2 ⊆ Out C3×Dic151204(C3xDic15).4C2360,88

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