# Extensions 1→N→G→Q→1 with N=C10.C42 and Q=C2

Direct product G=N×Q with N=C10.C42 and Q=C2
dρLabelID
C2×C10.C42320C2xC10.C4^2320,1087

Semidirect products G=N:Q with N=C10.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.C421C2 = (C2×D4).F5φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:1C2320,259
C10.C422C2 = (C2×Q8).F5φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:2C2320,265
C10.C423C2 = D102M4(2)φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:3C2320,1042
C10.C424C2 = C5⋊C87D4φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:4C2320,1111
C10.C425C2 = C42.15F5φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:5C2320,1021
C10.C426C2 = C42.7F5φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:6C2320,1022
C10.C427C2 = Dic5.13M4(2)φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:7C2320,1095
C10.C428C2 = C20.30M4(2)φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:8C2320,1097
C10.C429C2 = C5⋊C8⋊D4φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:9C2320,1031
C10.C4210C2 = D10⋊M4(2)φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:10C2320,1032
C10.C4211C2 = Dic5.C42φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:11C2320,1029
C10.C4212C2 = C23.(C2×F5)φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:12C2320,1035
C10.C4213C2 = D10.C42φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:13C2320,1039
C10.C4214C2 = C4⋊C4.7F5φ: C2/C1C2 ⊆ Out C10.C42160C10.C4^2:14C2320,1044
C10.C4215C2 = C42.5F5φ: trivial image160C10.C4^2:15C2320,1014
C10.C4216C2 = C4×C4.F5φ: trivial image160C10.C4^2:16C2320,1015
C10.C4217C2 = C4×C22.F5φ: trivial image160C10.C4^2:17C2320,1088

Non-split extensions G=N.Q with N=C10.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.C42.1C2 = C10.C4≀C2φ: C2/C1C2 ⊆ Out C10.C42320C10.C4^2.1C2320,208
C10.C42.2C2 = C20.6M4(2)φ: C2/C1C2 ⊆ Out C10.C42320C10.C4^2.2C2320,1126
C10.C42.3C2 = Dic5.M4(2)φ: C2/C1C2 ⊆ Out C10.C42320C10.C4^2.3C2320,1045
C10.C42.4C2 = C20.M4(2)φ: C2/C1C2 ⊆ Out C10.C42320C10.C4^2.4C2320,1047

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