# Extensions 1→N→G→Q→1 with N=C2×C4.F5 and Q=C2

Direct product G=N×Q with N=C2×C4.F5 and Q=C2
dρLabelID
C22×C4.F5160C2^2xC4.F5320,1588

Semidirect products G=N:Q with N=C2×C4.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.F5)⋊1C2 = C2×D4⋊F5φ: C2/C1C2 ⊆ Out C2×C4.F580(C2xC4.F5):1C2320,1106
(C2×C4.F5)⋊2C2 = (C2×D4).8F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):2C2320,1114
(C2×C4.F5)⋊3C2 = C2×Q82F5φ: C2/C1C2 ⊆ Out C2×C4.F580(C2xC4.F5):3C2320,1121
(C2×C4.F5)⋊4C2 = (C2×Q8).5F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):4C2320,1125
(C2×C4.F5)⋊5C2 = D4⋊F5⋊C2φ: C2/C1C2 ⊆ Out C2×C4.F5808(C2xC4.F5):5C2320,1133
(C2×C4.F5)⋊6C2 = C2×D4.F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):6C2320,1593
(C2×C4.F5)⋊7C2 = C2×Q8.F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):7C2320,1597
(C2×C4.F5)⋊8C2 = Dic5.22C24φ: C2/C1C2 ⊆ Out C2×C4.F5808(C2xC4.F5):8C2320,1602
(C2×C4.F5)⋊9C2 = C5⋊C8⋊D4φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):9C2320,1031
(C2×C4.F5)⋊10C2 = Dic5⋊M4(2)φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):10C2320,1033
(C2×C4.F5)⋊11C2 = D102M4(2)φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):11C2320,1042
(C2×C4.F5)⋊12C2 = C20⋊M4(2)φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5):12C2320,1043
(C2×C4.F5)⋊13C2 = D1010M4(2)φ: C2/C1C2 ⊆ Out C2×C4.F580(C2xC4.F5):13C2320,1094
(C2×C4.F5)⋊14C2 = C2×D5⋊M4(2)φ: trivial image80(C2xC4.F5):14C2320,1589

Non-split extensions G=N.Q with N=C2×C4.F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.F5).1C2 = C20.C42φ: C2/C1C2 ⊆ Out C2×C4.F580(C2xC4.F5).1C2320,213
(C2×C4.F5).2C2 = M4(2)⋊4F5φ: C2/C1C2 ⊆ Out C2×C4.F5808(C2xC4.F5).2C2320,240
(C2×C4.F5).3C2 = D10.C42φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).3C2320,1039
(C2×C4.F5).4C2 = C4⋊C4.9F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).4C2320,1046
(C2×C4.F5).5C2 = M4(2).1F5φ: C2/C1C2 ⊆ Out C2×C4.F5808(C2xC4.F5).5C2320,1067
(C2×C4.F5).6C2 = C20.10C42φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).6C2320,234
(C2×C4.F5).7C2 = C203M4(2)φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).7C2320,1019
(C2×C4.F5).8C2 = C42.14F5φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).8C2320,1020
(C2×C4.F5).9C2 = C2×C40.C4φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).9C2320,1060
(C2×C4.F5).10C2 = C2×D10.Q8φ: C2/C1C2 ⊆ Out C2×C4.F5160(C2xC4.F5).10C2320,1061
(C2×C4.F5).11C2 = C4×C4.F5φ: trivial image160(C2xC4.F5).11C2320,1015

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