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

Direct product G=N×Q with N=C2.C42 and Q=C10
dρLabelID
C10×C2.C42320C10xC2.C4^2320,876

Semidirect products G=N:Q with N=C2.C42 and Q=C10
extensionφ:Q→Out NdρLabelID
C2.C421C10 = C5×C23.7Q8φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:1C10320,881
C2.C422C10 = C5×C23.34D4φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:2C10320,882
C2.C423C10 = C5×C24.C22φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:3C10320,889
C2.C424C10 = C5×C23.Q8φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:4C10320,897
C2.C425C10 = C5×C23.11D4φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:5C10320,898
C2.C426C10 = C5×C22.SD16φ: C10/C5C2 ⊆ Out C2.C4280C2.C4^2:6C10320,132
C2.C427C10 = C5×C23.8Q8φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:7C10320,886
C2.C428C10 = C5×C23.23D4φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:8C10320,887
C2.C429C10 = C5×C232D4φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:9C10320,893
C2.C4210C10 = C5×C23⋊Q8φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:10C10320,894
C2.C4211C10 = C5×C23.10D4φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:11C10320,895
C2.C4212C10 = C5×C23.4Q8φ: C10/C5C2 ⊆ Out C2.C42160C2.C4^2:12C10320,900
C2.C4213C10 = C22⋊C4×C20φ: trivial image160C2.C4^2:13C10320,878

Non-split extensions G=N.Q with N=C2.C42 and Q=C10
extensionφ:Q→Out NdρLabelID
C2.C42.1C10 = C5×C428C4φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.1C10320,883
C2.C42.2C10 = C5×C425C4φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.2C10320,884
C2.C42.3C10 = C5×C23.63C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.3C10320,888
C2.C42.4C10 = C5×C23.84C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.4C10320,902
C2.C42.5C10 = C5×C23.31D4φ: C10/C5C2 ⊆ Out C2.C4280C2.C4^2.5C10320,133
C2.C42.6C10 = C5×C23.65C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.6C10320,890
C2.C42.7C10 = C5×C23.67C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.7C10320,892
C2.C42.8C10 = C5×C23.78C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.8C10320,896
C2.C42.9C10 = C5×C23.81C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.9C10320,899
C2.C42.10C10 = C5×C23.83C23φ: C10/C5C2 ⊆ Out C2.C42320C2.C4^2.10C10320,901
C2.C42.11C10 = C5×C424C4φ: trivial image320C2.C4^2.11C10320,877
C2.C42.12C10 = C4⋊C4×C20φ: trivial image320C2.C4^2.12C10320,879

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