# Extensions 1→N→G→Q→1 with N=C8×D5 and Q=C4

Direct product G=N×Q with N=C8×D5 and Q=C4
dρLabelID
D5×C4×C8160D5xC4xC8320,311

Semidirect products G=N:Q with N=C8×D5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C8×D5)⋊1C4 = D5×C2.D8φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):1C4320,506
(C8×D5)⋊2C4 = C8.27(C4×D5)φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):2C4320,507
(C8×D5)⋊3C4 = D5×C4.Q8φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):3C4320,486
(C8×D5)⋊4C4 = (C8×D5)⋊C4φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):4C4320,487
(C8×D5)⋊5C4 = D10.5C42φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):5C4320,316
(C8×D5)⋊6C4 = C2×D5.D8φ: C4/C2C2 ⊆ Out C8×D580(C8xD5):6C4320,1058
(C8×D5)⋊7C4 = (C2×C8)⋊6F5φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5):7C4320,1059
(C8×D5)⋊8C4 = C2×C40⋊C4φ: C4/C2C2 ⊆ Out C8×D580(C8xD5):8C4320,1057
(C8×D5)⋊9C4 = D5×C8⋊C4φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):9C4320,331
(C8×D5)⋊10C4 = D10.7C42φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5):10C4320,335
(C8×D5)⋊11C4 = C2×C8×F5φ: C4/C2C2 ⊆ Out C8×D580(C8xD5):11C4320,1054
(C8×D5)⋊12C4 = C2×C8⋊F5φ: C4/C2C2 ⊆ Out C8×D580(C8xD5):12C4320,1055
(C8×D5)⋊13C4 = C20.12C42φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5):13C4320,1056

Non-split extensions G=N.Q with N=C8×D5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C8×D5).1C4 = D5×C8.C4φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5).1C4320,519
(C8×D5).2C4 = C32⋊D5φ: C4/C2C2 ⊆ Out C8×D51602(C8xD5).2C4320,5
(C8×D5).3C4 = C2×C80⋊C2φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5).3C4320,527
(C8×D5).4C4 = C2×D10.Q8φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5).4C4320,1061
(C8×D5).5C4 = C2×C40.C4φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5).5C4320,1060
(C8×D5).6C4 = (C8×D5).C4φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5).6C4320,1062
(C8×D5).7C4 = D5⋊C32φ: C4/C2C2 ⊆ Out C8×D51604(C8xD5).7C4320,179
(C8×D5).8C4 = C80.C4φ: C4/C2C2 ⊆ Out C8×D51604(C8xD5).8C4320,180
(C8×D5).9C4 = D5×M5(2)φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5).9C4320,533
(C8×D5).10C4 = C2×D5⋊C16φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5).10C4320,1051
(C8×D5).11C4 = C2×C8.F5φ: C4/C2C2 ⊆ Out C8×D5160(C8xD5).11C4320,1052
(C8×D5).12C4 = D5⋊M5(2)φ: C4/C2C2 ⊆ Out C8×D5804(C8xD5).12C4320,1053
(C8×D5).13C4 = D5×C32φ: trivial image1602(C8xD5).13C4320,4
(C8×D5).14C4 = D5×C2×C16φ: trivial image160(C8xD5).14C4320,526

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