# Extensions 1→N→G→Q→1 with N=C6×D4 and Q=C10

Direct product G=N×Q with N=C6×D4 and Q=C10
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C6×D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C6×D4)⋊1C10 = C10×D4⋊S3φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):1C10480,810
(C6×D4)⋊2C10 = C5×D126C22φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4):2C10480,811
(C6×D4)⋊3C10 = C5×D63D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):3C10480,817
(C6×D4)⋊4C10 = C5×C123D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):4C10480,819
(C6×D4)⋊5C10 = S3×D4×C10φ: C10/C5C2 ⊆ Out C6×D4120(C6xD4):5C10480,1154
(C6×D4)⋊6C10 = C10×D42S3φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):6C10480,1155
(C6×D4)⋊7C10 = C5×D46D6φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4):7C10480,1156
(C6×D4)⋊8C10 = C5×C232D6φ: C10/C5C2 ⊆ Out C6×D4120(C6xD4):8C10480,816
(C6×D4)⋊9C10 = C5×C23.14D6φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):9C10480,818
(C6×D4)⋊10C10 = C15×C22≀C2φ: C10/C5C2 ⊆ Out C6×D4120(C6xD4):10C10480,925
(C6×D4)⋊11C10 = C15×C4⋊D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):11C10480,926
(C6×D4)⋊12C10 = C15×C41D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):12C10480,932
(C6×D4)⋊13C10 = D8×C30φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4):13C10480,937
(C6×D4)⋊14C10 = C15×C8⋊C22φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4):14C10480,941
(C6×D4)⋊15C10 = C15×2+ 1+4φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4):15C10480,1184
(C6×D4)⋊16C10 = C4○D4×C30φ: trivial image240(C6xD4):16C10480,1183

Non-split extensions G=N.Q with N=C6×D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C6×D4).1C10 = C5×D4⋊Dic3φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).1C10480,151
(C6×D4).2C10 = C5×C12.D4φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4).2C10480,152
(C6×D4).3C10 = C10×D4.S3φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).3C10480,812
(C6×D4).4C10 = C5×D4×Dic3φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).4C10480,813
(C6×D4).5C10 = C5×C23.12D6φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).5C10480,815
(C6×D4).6C10 = C5×C23.7D6φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4).6C10480,153
(C6×D4).7C10 = C15×C23⋊C4φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4).7C10480,202
(C6×D4).8C10 = C15×C4.D4φ: C10/C5C2 ⊆ Out C6×D41204(C6xD4).8C10480,203
(C6×D4).9C10 = C15×D4⋊C4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).9C10480,205
(C6×D4).10C10 = C5×C23.23D6φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).10C10480,814
(C6×D4).11C10 = C15×C22.D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).11C10480,928
(C6×D4).12C10 = C15×C4.4D4φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).12C10480,929
(C6×D4).13C10 = SD16×C30φ: C10/C5C2 ⊆ Out C6×D4240(C6xD4).13C10480,938
(C6×D4).14C10 = D4×C60φ: trivial image240(C6xD4).14C10480,923

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