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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D10

Direct product G=N×Q with N=C2×C6 and Q=D10
dρLabelID
D5×C22×C6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=C2×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1D10 = S3×C5⋊D4φ: D10/C5 → C22 ⊆ Aut C2×C6604(C2xC6):1D10240,150
(C2×C6)⋊2D10 = D10⋊D6φ: D10/C5 → C22 ⊆ Aut C2×C6604+(C2xC6):2D10240,151
(C2×C6)⋊3D10 = D4×D15φ: D10/C5 → C22 ⊆ Aut C2×C6604+(C2xC6):3D10240,179
(C2×C6)⋊4D10 = C3×D4×D5φ: D10/D5 → C2 ⊆ Aut C2×C6604(C2xC6):4D10240,159
(C2×C6)⋊5D10 = D5×C3⋊D4φ: D10/D5 → C2 ⊆ Aut C2×C6604(C2xC6):5D10240,149
(C2×C6)⋊6D10 = C22×S3×D5φ: D10/D5 → C2 ⊆ Aut C2×C660(C2xC6):6D10240,202
(C2×C6)⋊7D10 = C6×C5⋊D4φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6):7D10240,164
(C2×C6)⋊8D10 = C2×C15⋊7D4φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6):8D10240,184
(C2×C6)⋊9D10 = C23×D15φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6):9D10240,207

Non-split extensions G=N.Q with N=C2×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2×C6).1D10 = Dic5.D6φ: D10/C5 → C22 ⊆ Aut C2×C61204(C2xC6).1D10240,140
(C2×C6).2D10 = C30.C23φ: D10/C5 → C22 ⊆ Aut C2×C61204-(C2xC6).2D10240,141
(C2×C6).3D10 = D4⋊2D15φ: D10/C5 → C22 ⊆ Aut C2×C61204-(C2xC6).3D10240,180
(C2×C6).4D10 = C3×D4⋊2D5φ: D10/D5 → C2 ⊆ Aut C2×C61204(C2xC6).4D10240,160
(C2×C6).5D10 = Dic3×Dic5φ: D10/D5 → C2 ⊆ Aut C2×C6240(C2xC6).5D10240,25
(C2×C6).6D10 = D10⋊Dic3φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).6D10240,26
(C2×C6).7D10 = D6⋊Dic5φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).7D10240,27
(C2×C6).8D10 = D30⋊4C4φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).8D10240,28
(C2×C6).9D10 = C30.Q8φ: D10/D5 → C2 ⊆ Aut C2×C6240(C2xC6).9D10240,29
(C2×C6).10D10 = Dic15⋊5C4φ: D10/D5 → C2 ⊆ Aut C2×C6240(C2xC6).10D10240,30
(C2×C6).11D10 = C6.Dic10φ: D10/D5 → C2 ⊆ Aut C2×C6240(C2xC6).11D10240,31
(C2×C6).12D10 = C2×D5×Dic3φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).12D10240,139
(C2×C6).13D10 = C2×S3×Dic5φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).13D10240,142
(C2×C6).14D10 = Dic3.D10φ: D10/D5 → C2 ⊆ Aut C2×C61204(C2xC6).14D10240,143
(C2×C6).15D10 = C2×D30.C2φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).15D10240,144
(C2×C6).16D10 = C2×C15⋊D4φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).16D10240,145
(C2×C6).17D10 = C2×C3⋊D20φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).17D10240,146
(C2×C6).18D10 = C2×C5⋊D12φ: D10/D5 → C2 ⊆ Aut C2×C6120(C2xC6).18D10240,147
(C2×C6).19D10 = C2×C15⋊Q8φ: D10/D5 → C2 ⊆ Aut C2×C6240(C2xC6).19D10240,148
(C2×C6).20D10 = C3×C4○D20φ: D10/C10 → C2 ⊆ Aut C2×C61202(C2xC6).20D10240,158
(C2×C6).21D10 = C4×Dic15φ: D10/C10 → C2 ⊆ Aut C2×C6240(C2xC6).21D10240,72
(C2×C6).22D10 = C30.4Q8φ: D10/C10 → C2 ⊆ Aut C2×C6240(C2xC6).22D10240,73
(C2×C6).23D10 = C60⋊5C4φ: D10/C10 → C2 ⊆ Aut C2×C6240(C2xC6).23D10240,74
(C2×C6).24D10 = D30⋊3C4φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6).24D10240,75
(C2×C6).25D10 = C30.38D4φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6).25D10240,80
(C2×C6).26D10 = C2×Dic30φ: D10/C10 → C2 ⊆ Aut C2×C6240(C2xC6).26D10240,175
(C2×C6).27D10 = C2×C4×D15φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6).27D10240,176
(C2×C6).28D10 = C2×D60φ: D10/C10 → C2 ⊆ Aut C2×C6120(C2xC6).28D10240,177
(C2×C6).29D10 = D60⋊11C2φ: D10/C10 → C2 ⊆ Aut C2×C61202(C2xC6).29D10240,178
(C2×C6).30D10 = C22×Dic15φ: D10/C10 → C2 ⊆ Aut C2×C6240(C2xC6).30D10240,183
(C2×C6).31D10 = C12×Dic5central extension (φ=1)240(C2xC6).31D10240,40
(C2×C6).32D10 = C3×C10.D4central extension (φ=1)240(C2xC6).32D10240,41
(C2×C6).33D10 = C3×C4⋊Dic5central extension (φ=1)240(C2xC6).33D10240,42
(C2×C6).34D10 = C3×D10⋊C4central extension (φ=1)120(C2xC6).34D10240,43
(C2×C6).35D10 = C3×C23.D5central extension (φ=1)120(C2xC6).35D10240,48
(C2×C6).36D10 = C6×Dic10central extension (φ=1)240(C2xC6).36D10240,155
(C2×C6).37D10 = D5×C2×C12central extension (φ=1)120(C2xC6).37D10240,156
(C2×C6).38D10 = C6×D20central extension (φ=1)120(C2xC6).38D10240,157
(C2×C6).39D10 = C2×C6×Dic5central extension (φ=1)240(C2xC6).39D10240,163

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