Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=C8

Direct product G=N×Q with N=C2×Dic5 and Q=C8
dρLabelID
C2×C8×Dic5320C2xC8xDic5320,725

Semidirect products G=N:Q with N=C2×Dic5 and Q=C8
extensionφ:Q→Out NdρLabelID
(C2×Dic5)⋊1C8 = (C2×Dic5)⋊C8φ: C8/C2C4 ⊆ Out C2×Dic5160(C2xDic5):1C8320,27
(C2×Dic5)⋊2C8 = (C22×C4).F5φ: C8/C2C4 ⊆ Out C2×Dic5160(C2xDic5):2C8320,252
(C2×Dic5)⋊3C8 = (C2×C40)⋊15C4φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5):3C8320,108
(C2×Dic5)⋊4C8 = Dic5.14M4(2)φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5):4C8320,345
(C2×Dic5)⋊5C8 = C2×C20.8Q8φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5):5C8320,726
(C2×Dic5)⋊6C8 = C10.(C4⋊C8)φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5):6C8320,256
(C2×Dic5)⋊7C8 = C2×C4×C5⋊C8φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5):7C8320,1084
(C2×Dic5)⋊8C8 = C2×Dic5⋊C8φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5):8C8320,1090
(C2×Dic5)⋊9C8 = C20.34M4(2)φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5):9C8320,1092

Non-split extensions G=N.Q with N=C2×Dic5 and Q=C8
extensionφ:Q→Out NdρLabelID
(C2×Dic5).1C8 = C8.25D20φ: C8/C2C4 ⊆ Out C2×Dic5804(C2xDic5).1C8320,72
(C2×Dic5).2C8 = C20.10M4(2)φ: C8/C2C4 ⊆ Out C2×Dic5804(C2xDic5).2C8320,229
(C2×Dic5).3C8 = C40.88D4φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5).3C8320,59
(C2×Dic5).4C8 = C8017C4φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5).4C8320,60
(C2×Dic5).5C8 = D101C16φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5).5C8320,65
(C2×Dic5).6C8 = C2×C80⋊C2φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5).6C8320,527
(C2×Dic5).7C8 = D5×M5(2)φ: C8/C4C2 ⊆ Out C2×Dic5804(C2xDic5).7C8320,533
(C2×Dic5).8C8 = Dic5⋊C16φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5).8C8320,223
(C2×Dic5).9C8 = C40.C8φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5).9C8320,224
(C2×Dic5).10C8 = D10⋊C16φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5).10C8320,225
(C2×Dic5).11C8 = C10.M5(2)φ: C8/C4C2 ⊆ Out C2×Dic5320(C2xDic5).11C8320,226
(C2×Dic5).12C8 = C2×D5⋊C16φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5).12C8320,1051
(C2×Dic5).13C8 = C2×C8.F5φ: C8/C4C2 ⊆ Out C2×Dic5160(C2xDic5).13C8320,1052
(C2×Dic5).14C8 = D5⋊M5(2)φ: C8/C4C2 ⊆ Out C2×Dic5804(C2xDic5).14C8320,1053
(C2×Dic5).15C8 = C16×Dic5φ: trivial image320(C2xDic5).15C8320,58
(C2×Dic5).16C8 = D5×C2×C16φ: trivial image160(C2xDic5).16C8320,526

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