Extensions 1→N→G→Q→1 with N=C32 and Q=C5×Q8

Direct product G=N×Q with N=C32 and Q=C5×Q8
dρLabelID
Q8×C3×C15360Q8xC3xC15360,117

Semidirect products G=N:Q with N=C32 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
C32⋊(C5×Q8) = C5×PSU3(𝔽2)φ: C5×Q8/C5Q8 ⊆ Aut C32458C3^2:(C5xQ8)360,135
C322(C5×Q8) = C5×C322Q8φ: C5×Q8/C10C22 ⊆ Aut C321204C3^2:2(C5xQ8)360,76
C323(C5×Q8) = C15×Dic6φ: C5×Q8/C20C2 ⊆ Aut C321202C3^2:3(C5xQ8)360,95
C324(C5×Q8) = C5×C324Q8φ: C5×Q8/C20C2 ⊆ Aut C32360C3^2:4(C5xQ8)360,105


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