Extensions 1→N→G→Q→1 with N=C4×Dic5 and Q=C2

Direct product G=N×Q with N=C4×Dic5 and Q=C2
dρLabelID
C2×C4×Dic5160C2xC4xDic5160,143

Semidirect products G=N:Q with N=C4×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic5)⋊1C2 = D207C4φ: C2/C1C2 ⊆ Out C4×Dic5404(C4xDic5):1C2160,32
(C4×Dic5)⋊2C2 = D42Dic5φ: C2/C1C2 ⊆ Out C4×Dic5404(C4xDic5):2C2160,44
(C4×Dic5)⋊3C2 = D208C4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):3C2160,114
(C4×Dic5)⋊4C2 = D4×Dic5φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):4C2160,155
(C4×Dic5)⋊5C2 = C20.17D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):5C2160,157
(C4×Dic5)⋊6C2 = C20⋊D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):6C2160,161
(C4×Dic5)⋊7C2 = C20.23D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):7C2160,168
(C4×Dic5)⋊8C2 = C42⋊D5φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):8C2160,93
(C4×Dic5)⋊9C2 = C23.11D10φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):9C2160,98
(C4×Dic5)⋊10C2 = C23.D10φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):10C2160,100
(C4×Dic5)⋊11C2 = Dic54D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):11C2160,102
(C4×Dic5)⋊12C2 = Dic5.5D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):12C2160,106
(C4×Dic5)⋊13C2 = C4⋊C47D5φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):13C2160,113
(C4×Dic5)⋊14C2 = C4⋊C4⋊D5φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):14C2160,119
(C4×Dic5)⋊15C2 = C23.21D10φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):15C2160,147
(C4×Dic5)⋊16C2 = C4×C5⋊D4φ: C2/C1C2 ⊆ Out C4×Dic580(C4xDic5):16C2160,149
(C4×Dic5)⋊17C2 = D5×C42φ: trivial image80(C4xDic5):17C2160,92

Non-split extensions G=N.Q with N=C4×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic5).1C2 = C20⋊Q8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).1C2160,109
(C4×Dic5).2C2 = C4.Dic10φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).2C2160,111
(C4×Dic5).3C2 = Dic5⋊Q8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).3C2160,165
(C4×Dic5).4C2 = Q8×Dic5φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).4C2160,166
(C4×Dic5).5C2 = C20.8Q8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).5C2160,21
(C4×Dic5).6C2 = C408C4φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).6C2160,22
(C4×Dic5).7C2 = C10.C42φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).7C2160,77
(C4×Dic5).8C2 = Dic5⋊C8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).8C2160,79
(C4×Dic5).9C2 = C4×Dic10φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).9C2160,89
(C4×Dic5).10C2 = Dic53Q8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).10C2160,108
(C4×Dic5).11C2 = Dic5.Q8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).11C2160,110
(C4×Dic5).12C2 = C20⋊C8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).12C2160,76
(C4×Dic5).13C2 = C4×C5⋊C8φ: C2/C1C2 ⊆ Out C4×Dic5160(C4xDic5).13C2160,75
(C4×Dic5).14C2 = C8×Dic5φ: trivial image160(C4xDic5).14C2160,20

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