Extensions 1→N→G→Q→1 with N=C8⋊C4 and Q=C10

Direct product G=N×Q with N=C8⋊C4 and Q=C10
dρLabelID
C10×C8⋊C4320C10xC8:C4320,904

Semidirect products G=N:Q with N=C8⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C8⋊C41C10 = C5×SD16⋊C4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:1C10320,941
C8⋊C42C10 = C5×D8⋊C4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:2C10320,943
C8⋊C43C10 = C5×C8.26D4φ: C10/C5C2 ⊆ Out C8⋊C4804C8:C4:3C10320,945
C8⋊C44C10 = C5×C83D4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:4C10320,997
C8⋊C45C10 = C5×C8.2D4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:5C10320,998
C8⋊C46C10 = C5×C42.C22φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:6C10320,134
C8⋊C47C10 = C5×C42.6C4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:7C10320,933
C8⋊C48C10 = C5×C42.7C22φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:8C10320,934
C8⋊C49C10 = C5×C89D4φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:9C10320,936
C8⋊C410C10 = C5×C42.28C22φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:10C10320,990
C8⋊C411C10 = C5×C42.29C22φ: C10/C5C2 ⊆ Out C8⋊C4160C8:C4:11C10320,991
C8⋊C412C10 = M4(2)×C20φ: trivial image160C8:C4:12C10320,905
C8⋊C413C10 = C5×C82M4(2)φ: trivial image160C8:C4:13C10320,906

Non-split extensions G=N.Q with N=C8⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C8⋊C4.1C10 = C5×Q16⋊C4φ: C10/C5C2 ⊆ Out C8⋊C4320C8:C4.1C10320,942
C8⋊C4.2C10 = C5×C8⋊Q8φ: C10/C5C2 ⊆ Out C8⋊C4320C8:C4.2C10320,1002
C8⋊C4.3C10 = C5×C42.2C22φ: C10/C5C2 ⊆ Out C8⋊C4320C8:C4.3C10320,135
C8⋊C4.4C10 = C5×C16⋊C4φ: C10/C5C2 ⊆ Out C8⋊C4804C8:C4.4C10320,152
C8⋊C4.5C10 = C5×C84Q8φ: C10/C5C2 ⊆ Out C8⋊C4320C8:C4.5C10320,947
C8⋊C4.6C10 = C5×C42.30C22φ: C10/C5C2 ⊆ Out C8⋊C4320C8:C4.6C10320,992

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