Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊3Q8

Direct product G=N×Q with N=C5 and Q=C8⋊3Q8
dρLabelID
C5×C8⋊3Q8320C5xC8:3Q8320,999

Semidirect products G=N:Q with N=C5 and Q=C8⋊3Q8
extensionφ:Q→Aut NdρLabelID
C5⋊1(C8⋊3Q8) = C40⋊9Q8φ: C8⋊3Q8/C4×C8 → C2 ⊆ Aut C5320C5:1(C8:3Q8)320,307
C5⋊2(C8⋊3Q8) = C40⋊5Q8φ: C8⋊3Q8/C4.Q8 → C2 ⊆ Aut C5320C5:2(C8:3Q8)320,482
C5⋊3(C8⋊3Q8) = C20.SD16φ: C8⋊3Q8/C4⋊Q8 → C2 ⊆ Aut C5320C5:3(C8:3Q8)320,706


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