# Extensions 1→N→G→Q→1 with N=C3×C6 and Q=D10

Direct product G=N×Q with N=C3×C6 and Q=D10
dρLabelID
D5×C62180D5xC6^2360,157

Semidirect products G=N:Q with N=C3×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1D10 = C2×S3×D15φ: D10/C5C22 ⊆ Aut C3×C6604+(C3xC6):1D10360,154
(C3×C6)⋊2D10 = C2×D15⋊S3φ: D10/C5C22 ⊆ Aut C3×C6604(C3xC6):2D10360,155
(C3×C6)⋊3D10 = S3×C6×D5φ: D10/D5C2 ⊆ Aut C3×C6604(C3xC6):3D10360,151
(C3×C6)⋊4D10 = C2×D5×C3⋊S3φ: D10/D5C2 ⊆ Aut C3×C690(C3xC6):4D10360,152
(C3×C6)⋊5D10 = C2×C6×D15φ: D10/C10C2 ⊆ Aut C3×C6120(C3xC6):5D10360,159
(C3×C6)⋊6D10 = C22×C3⋊D15φ: D10/C10C2 ⊆ Aut C3×C6180(C3xC6):6D10360,161

Non-split extensions G=N.Q with N=C3×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C3×C6).1D10 = Dic3×D15φ: D10/C5C22 ⊆ Aut C3×C61204-(C3xC6).1D10360,77
(C3×C6).2D10 = S3×Dic15φ: D10/C5C22 ⊆ Aut C3×C61204-(C3xC6).2D10360,78
(C3×C6).3D10 = C6.D30φ: D10/C5C22 ⊆ Aut C3×C6604+(C3xC6).3D10360,79
(C3×C6).4D10 = D6⋊D15φ: D10/C5C22 ⊆ Aut C3×C61204-(C3xC6).4D10360,80
(C3×C6).5D10 = C3⋊D60φ: D10/C5C22 ⊆ Aut C3×C6604+(C3xC6).5D10360,81
(C3×C6).6D10 = D62D15φ: D10/C5C22 ⊆ Aut C3×C6604+(C3xC6).6D10360,82
(C3×C6).7D10 = C3⋊Dic30φ: D10/C5C22 ⊆ Aut C3×C61204-(C3xC6).7D10360,83
(C3×C6).8D10 = D30.S3φ: D10/C5C22 ⊆ Aut C3×C61204(C3xC6).8D10360,84
(C3×C6).9D10 = Dic15⋊S3φ: D10/C5C22 ⊆ Aut C3×C6604(C3xC6).9D10360,85
(C3×C6).10D10 = D30⋊S3φ: D10/C5C22 ⊆ Aut C3×C6604(C3xC6).10D10360,86
(C3×C6).11D10 = C323D20φ: D10/C5C22 ⊆ Aut C3×C61204(C3xC6).11D10360,87
(C3×C6).12D10 = C323Dic10φ: D10/C5C22 ⊆ Aut C3×C61204(C3xC6).12D10360,88
(C3×C6).13D10 = C3×D5×Dic3φ: D10/D5C2 ⊆ Aut C3×C6604(C3xC6).13D10360,58
(C3×C6).14D10 = C3×S3×Dic5φ: D10/D5C2 ⊆ Aut C3×C61204(C3xC6).14D10360,59
(C3×C6).15D10 = C3×D30.C2φ: D10/D5C2 ⊆ Aut C3×C61204(C3xC6).15D10360,60
(C3×C6).16D10 = C3×C15⋊D4φ: D10/D5C2 ⊆ Aut C3×C6604(C3xC6).16D10360,61
(C3×C6).17D10 = C3×C3⋊D20φ: D10/D5C2 ⊆ Aut C3×C6604(C3xC6).17D10360,62
(C3×C6).18D10 = C3×C5⋊D12φ: D10/D5C2 ⊆ Aut C3×C61204(C3xC6).18D10360,63
(C3×C6).19D10 = C3×C15⋊Q8φ: D10/D5C2 ⊆ Aut C3×C61204(C3xC6).19D10360,64
(C3×C6).20D10 = D5×C3⋊Dic3φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).20D10360,65
(C3×C6).21D10 = C3⋊S3×Dic5φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).21D10360,66
(C3×C6).22D10 = C30.D6φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).22D10360,67
(C3×C6).23D10 = C30.12D6φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).23D10360,68
(C3×C6).24D10 = C327D20φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).24D10360,69
(C3×C6).25D10 = C15⋊D12φ: D10/D5C2 ⊆ Aut C3×C6180(C3xC6).25D10360,70
(C3×C6).26D10 = C15⋊Dic6φ: D10/D5C2 ⊆ Aut C3×C6360(C3xC6).26D10360,71
(C3×C6).27D10 = C3×Dic30φ: D10/C10C2 ⊆ Aut C3×C61202(C3xC6).27D10360,100
(C3×C6).28D10 = C12×D15φ: D10/C10C2 ⊆ Aut C3×C61202(C3xC6).28D10360,101
(C3×C6).29D10 = C3×D60φ: D10/C10C2 ⊆ Aut C3×C61202(C3xC6).29D10360,102
(C3×C6).30D10 = C6×Dic15φ: D10/C10C2 ⊆ Aut C3×C6120(C3xC6).30D10360,103
(C3×C6).31D10 = C3×C157D4φ: D10/C10C2 ⊆ Aut C3×C6602(C3xC6).31D10360,104
(C3×C6).32D10 = C12.D15φ: D10/C10C2 ⊆ Aut C3×C6360(C3xC6).32D10360,110
(C3×C6).33D10 = C4×C3⋊D15φ: D10/C10C2 ⊆ Aut C3×C6180(C3xC6).33D10360,111
(C3×C6).34D10 = C60⋊S3φ: D10/C10C2 ⊆ Aut C3×C6180(C3xC6).34D10360,112
(C3×C6).35D10 = C2×C3⋊Dic15φ: D10/C10C2 ⊆ Aut C3×C6360(C3xC6).35D10360,113
(C3×C6).36D10 = C62⋊D5φ: D10/C10C2 ⊆ Aut C3×C6180(C3xC6).36D10360,114
(C3×C6).37D10 = C32×Dic10central extension (φ=1)360(C3xC6).37D10360,90
(C3×C6).38D10 = D5×C3×C12central extension (φ=1)180(C3xC6).38D10360,91
(C3×C6).39D10 = C32×D20central extension (φ=1)180(C3xC6).39D10360,92
(C3×C6).40D10 = C3×C6×Dic5central extension (φ=1)360(C3xC6).40D10360,93
(C3×C6).41D10 = C32×C5⋊D4central extension (φ=1)180(C3xC6).41D10360,94

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