Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C10

Direct product G=N×Q with N=Q8⋊C4 and Q=C10
dρLabelID
C10×Q8⋊C4320C10xQ8:C4320,916

Semidirect products G=N:Q with N=Q8⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8⋊C41C10 = C5×C88D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:1C10320,966
Q8⋊C42C10 = C5×C8.18D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:2C10320,968
Q8⋊C43C10 = C5×C42.78C22φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:3C10320,989
Q8⋊C44C10 = C5×D4⋊D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:4C10320,950
Q8⋊C45C10 = C5×C22⋊Q16φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:5C10320,952
Q8⋊C46C10 = C5×D4.2D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:6C10320,964
Q8⋊C47C10 = C5×C23.48D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:7C10320,985
Q8⋊C48C10 = C5×C23.20D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:8C10320,986
Q8⋊C49C10 = C5×Q8⋊D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:9C10320,949
Q8⋊C410C10 = C5×D4.7D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:10C10320,953
Q8⋊C411C10 = C5×D4.D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:11C10320,962
Q8⋊C412C10 = C5×Q8.D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:12C10320,965
Q8⋊C413C10 = C5×C23.47D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:13C10320,984
Q8⋊C414C10 = C5×C23.36D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:14C10320,918
Q8⋊C415C10 = C5×C23.38D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:15C10320,920
Q8⋊C416C10 = C5×SD16⋊C4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:16C10320,941
Q8⋊C417C10 = C5×C8⋊D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:17C10320,969
Q8⋊C418C10 = C5×C8.D4φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:18C10320,971
Q8⋊C419C10 = C5×C42.28C22φ: C10/C5C2 ⊆ Out Q8⋊C4160Q8:C4:19C10320,990
Q8⋊C420C10 = C5×C23.24D4φ: trivial image160Q8:C4:20C10320,917
Q8⋊C421C10 = SD16×C20φ: trivial image160Q8:C4:21C10320,939

Non-split extensions G=N.Q with N=Q8⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8⋊C4.1C10 = C5×C4.SD16φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.1C10320,988
Q8⋊C4.2C10 = C5×C42Q16φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.2C10320,963
Q8⋊C4.3C10 = C5×C4.Q16φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.3C10320,978
Q8⋊C4.4C10 = C5×Q8⋊Q8φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.4C10320,976
Q8⋊C4.5C10 = C5×Q8.Q8φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.5C10320,980
Q8⋊C4.6C10 = C5×Q16⋊C4φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.6C10320,942
Q8⋊C4.7C10 = C5×C42.30C22φ: C10/C5C2 ⊆ Out Q8⋊C4320Q8:C4.7C10320,992
Q8⋊C4.8C10 = Q16×C20φ: trivial image320Q8:C4.8C10320,940

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