Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=C10

Direct product G=N×Q with N=D4⋊C4 and Q=C10
dρLabelID
C10×D4⋊C4160C10xD4:C4320,915

Semidirect products G=N:Q with N=D4⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
D4⋊C41C10 = C5×C88D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:1C10320,966
D4⋊C42C10 = C5×C87D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:2C10320,967
D4⋊C43C10 = C5×C4.4D8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:3C10320,987
D4⋊C44C10 = C5×C22⋊D8φ: C10/C5C2 ⊆ Out D4⋊C480D4:C4:4C10320,948
D4⋊C45C10 = C5×D4.7D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:5C10320,953
D4⋊C46C10 = C5×C4⋊D8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:6C10320,960
D4⋊C47C10 = C5×C22.D8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:7C10320,981
D4⋊C48C10 = C5×D4⋊D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:8C10320,950
D4⋊C49C10 = C5×C22⋊SD16φ: C10/C5C2 ⊆ Out D4⋊C480D4:C4:9C10320,951
D4⋊C410C10 = C5×C4⋊SD16φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:10C10320,961
D4⋊C411C10 = C5×D4.2D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:11C10320,964
D4⋊C412C10 = C5×C23.46D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:12C10320,982
D4⋊C413C10 = C5×C23.19D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:13C10320,983
D4⋊C414C10 = C5×C23.36D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:14C10320,918
D4⋊C415C10 = C5×C23.37D4φ: C10/C5C2 ⊆ Out D4⋊C480D4:C4:15C10320,919
D4⋊C416C10 = C5×D8⋊C4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:16C10320,943
D4⋊C417C10 = C5×C8⋊D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:17C10320,969
D4⋊C418C10 = C5×C82D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:18C10320,970
D4⋊C419C10 = C5×C42.29C22φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4:19C10320,991
D4⋊C420C10 = C5×C23.24D4φ: trivial image160D4:C4:20C10320,917
D4⋊C421C10 = D8×C20φ: trivial image160D4:C4:21C10320,938

Non-split extensions G=N.Q with N=D4⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
D4⋊C4.1C10 = C5×C42.78C22φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.1C10320,989
D4⋊C4.2C10 = C5×Q8.D4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.2C10320,965
D4⋊C4.3C10 = C5×D4⋊Q8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.3C10320,975
D4⋊C4.4C10 = C5×D4.Q8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.4C10320,979
D4⋊C4.5C10 = C5×D42Q8φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.5C10320,977
D4⋊C4.6C10 = C5×SD16⋊C4φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.6C10320,941
D4⋊C4.7C10 = C5×C42.28C22φ: C10/C5C2 ⊆ Out D4⋊C4160D4:C4.7C10320,990
D4⋊C4.8C10 = SD16×C20φ: trivial image160D4:C4.8C10320,939

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