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Extensions 1→N→G→Q→1 with N=C2×C5⋊2C8 and Q=C2

Direct product G=N×Q with N=C2×C5⋊2C8 and Q=C2
dρLabelID
C22×C5⋊2C8160C2^2xC5:2C8160,141

Semidirect products G=N:Q with N=C2×C5⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C8)⋊1C2 = D20⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):1C2160,16
(C2×C5⋊2C8)⋊2C2 = D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):2C2160,39
(C2×C5⋊2C8)⋊3C2 = D20.2C4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8804(C2xC5:2C8):3C2160,128
(C2×C5⋊2C8)⋊4C2 = C2×D4⋊D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):4C2160,152
(C2×C5⋊2C8)⋊5C2 = C2×D4.D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):5C2160,154
(C2×C5⋊2C8)⋊6C2 = C2×Q8⋊D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):6C2160,162
(C2×C5⋊2C8)⋊7C2 = D4.Dic5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8804(C2xC5:2C8):7C2160,169
(C2×C5⋊2C8)⋊8C2 = D4.8D10φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8804(C2xC5:2C8):8C2160,171
(C2×C5⋊2C8)⋊9C2 = D10⋊1C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):9C2160,27
(C2×C5⋊2C8)⋊10C2 = C20.55D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):10C2160,37
(C2×C5⋊2C8)⋊11C2 = C2×C8⋊D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):11C2160,121
(C2×C5⋊2C8)⋊12C2 = C2×C4.Dic5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C880(C2xC5:2C8):12C2160,142
(C2×C5⋊2C8)⋊13C2 = D5×C2×C8φ: trivial image80(C2xC5:2C8):13C2160,120

Non-split extensions G=N.Q with N=C2×C5⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊2C8).1C2 = C10.D8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).1C2160,14
(C2×C5⋊2C8).2C2 = C20.Q8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).2C2160,15
(C2×C5⋊2C8).3C2 = C10.Q16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).3C2160,17
(C2×C5⋊2C8).4C2 = C20.53D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8804(C2xC5:2C8).4C2160,29
(C2×C5⋊2C8).5C2 = Q8⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).5C2160,42
(C2×C5⋊2C8).6C2 = C2×C5⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).6C2160,164
(C2×C5⋊2C8).7C2 = C42.D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).7C2160,10
(C2×C5⋊2C8).8C2 = C20⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).8C2160,11
(C2×C5⋊2C8).9C2 = C20.8Q8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).9C2160,21
(C2×C5⋊2C8).10C2 = C40⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).10C2160,22
(C2×C5⋊2C8).11C2 = C20.C8φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8804(C2xC5:2C8).11C2160,73
(C2×C5⋊2C8).12C2 = C2×C5⋊C16φ: C2/C1 → C2 ⊆ Out C2×C5⋊2C8160(C2xC5:2C8).12C2160,72
(C2×C5⋊2C8).13C2 = C4×C5⋊2C8φ: trivial image160(C2xC5:2C8).13C2160,9
(C2×C5⋊2C8).14C2 = C8×Dic5φ: trivial image160(C2xC5:2C8).14C2160,20

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