Extensions 1→N→G→Q→1 with N=C52 and Q=C2×Q8

Direct product G=N×Q with N=C52 and Q=C2×Q8
dρLabelID
Q8×C5×C10400Q8xC5xC10400,203

Semidirect products G=N:Q with N=C52 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C52⋊(C2×Q8) = C2×C52⋊Q8φ: C2×Q8/C2 → Q8 ⊆ Aut C52208+C5^2:(C2xQ8)400,212
C52⋊2(C2×Q8) = D5×Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C52804-C5^2:2(C2xQ8)400,163
C52⋊3(C2×Q8) = Dic10⋊D5φ: C2×Q8/C4 → C22 ⊆ Aut C52404C5^2:3(C2xQ8)400,166
C52⋊4(C2×Q8) = C2×C52⋊2Q8φ: C2×Q8/C22 → C22 ⊆ Aut C5280C5^2:4(C2xQ8)400,178
C52⋊5(C2×Q8) = C10×Dic10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C5280C5^2:5(C2xQ8)400,181
C52⋊6(C2×Q8) = C2×C52⋊4Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C52400C5^2:6(C2xQ8)400,191
C52⋊7(C2×Q8) = C5×Q8×D5φ: C2×Q8/Q8 → C2 ⊆ Aut C52804C5^2:7(C2xQ8)400,187
C52⋊8(C2×Q8) = Q8×C5⋊D5φ: C2×Q8/Q8 → C2 ⊆ Aut C52200C5^2:8(C2xQ8)400,197


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