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Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊6D4

Direct product G=N×Q with N=C5 and Q=C8⋊6D4
dρLabelID
C5×C8⋊6D4160C5xC8:6D4320,937

Semidirect products G=N:Q with N=C5 and Q=C8⋊6D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C8⋊6D4) = Dic5⋊M4(2)φ: C8⋊6D4/C22⋊C4 → C4 ⊆ Aut C5160C5:1(C8:6D4)320,1033
C5⋊2(C8⋊6D4) = C20⋊M4(2)φ: C8⋊6D4/C4⋊C4 → C4 ⊆ Aut C5160C5:2(C8:6D4)320,1043
C5⋊3(C8⋊6D4) = C20⋊2M4(2)φ: C8⋊6D4/C2×D4 → C4 ⊆ Aut C5160C5:3(C8:6D4)320,1112
C5⋊4(C8⋊6D4) = C8⋊6D20φ: C8⋊6D4/C4×C8 → C2 ⊆ Aut C5160C5:4(C8:6D4)320,315
C5⋊5(C8⋊6D4) = Dic5⋊2M4(2)φ: C8⋊6D4/C22⋊C8 → C2 ⊆ Aut C5160C5:5(C8:6D4)320,356
C5⋊6(C8⋊6D4) = C20⋊6M4(2)φ: C8⋊6D4/C4⋊C8 → C2 ⊆ Aut C5160C5:6(C8:6D4)320,465
C5⋊7(C8⋊6D4) = C20⋊7M4(2)φ: C8⋊6D4/C4×D4 → C2 ⊆ Aut C5160C5:7(C8:6D4)320,639
C5⋊8(C8⋊6D4) = C40⋊18D4φ: C8⋊6D4/C2×M4(2) → C2 ⊆ Aut C5160C5:8(C8:6D4)320,755


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