# Extensions 1→N→G→Q→1 with N=C20.D4 and Q=C2

Direct product G=N×Q with N=C20.D4 and Q=C2
dρLabelID
C2×C20.D480C2xC20.D4320,843

Semidirect products G=N:Q with N=C20.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.D41C2 = C53C2≀C4φ: C2/C1C2 ⊆ Out C20.D4408+C20.D4:1C2320,29
C20.D42C2 = C242Dic5φ: C2/C1C2 ⊆ Out C20.D4404C20.D4:2C2320,94
C20.D43C2 = D5×C4.D4φ: C2/C1C2 ⊆ Out C20.D4408+C20.D4:3C2320,371
C20.D44C2 = M4(2).19D10φ: C2/C1C2 ⊆ Out C20.D4808-C20.D4:4C2320,372
C20.D45C2 = C425D10φ: C2/C1C2 ⊆ Out C20.D4804C20.D4:5C2320,688
C20.D46C2 = D205D4φ: C2/C1C2 ⊆ Out C20.D4404C20.D4:6C2320,704
C20.D47C2 = C40.23D4φ: C2/C1C2 ⊆ Out C20.D4804C20.D4:7C2320,787
C20.D48C2 = C40.44D4φ: C2/C1C2 ⊆ Out C20.D4804C20.D4:8C2320,804
C20.D49C2 = M4(2).D10φ: C2/C1C2 ⊆ Out C20.D4808+C20.D4:9C2320,826
C20.D410C2 = M4(2).13D10φ: C2/C1C2 ⊆ Out C20.D4808-C20.D4:10C2320,827
C20.D411C2 = 2+ 1+4⋊D5φ: C2/C1C2 ⊆ Out C20.D4408+C20.D4:11C2320,868
C20.D412C2 = 2+ 1+4.D5φ: C2/C1C2 ⊆ Out C20.D4808-C20.D4:12C2320,869
C20.D413C2 = (D4×C10).29C4φ: trivial image804C20.D4:13C2320,864

Non-split extensions G=N.Q with N=C20.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.D4.1C2 = (C2×C20).D4φ: C2/C1C2 ⊆ Out C20.D4808-C20.D4.1C2320,30
C20.D4.2C2 = (C22×C20)⋊C4φ: C2/C1C2 ⊆ Out C20.D4804C20.D4.2C2320,97

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