Extensions 1→N→G→Q→1 with N=C23 and Q=C5xQ8

Direct product G=NxQ with N=C23 and Q=C5xQ8
dρLabelID
Q8xC22xC10320Q8xC2^2xC10320,1630

Semidirect products G=N:Q with N=C23 and Q=C5xQ8
extensionφ:Q→Aut NdρLabelID
C23:1(C5xQ8) = C5xC23:Q8φ: C5xQ8/C10C22 ⊆ Aut C23160C2^3:1(C5xQ8)320,894
C23:2(C5xQ8) = C5xC23:2Q8φ: C5xQ8/C10C22 ⊆ Aut C2380C2^3:2(C5xQ8)320,1545
C23:3(C5xQ8) = C10xC22:Q8φ: C5xQ8/C20C2 ⊆ Aut C23160C2^3:3(C5xQ8)320,1525

Non-split extensions G=N.Q with N=C23 and Q=C5xQ8
extensionφ:Q→Aut NdρLabelID
C23.1(C5xQ8) = C5xC4.10C42φ: C5xQ8/C10C22 ⊆ Aut C23804C2^3.1(C5xQ8)320,143
C23.2(C5xQ8) = C5xC23.9D4φ: C5xQ8/C10C22 ⊆ Aut C2380C2^3.2(C5xQ8)320,147
C23.3(C5xQ8) = C5xC23.Q8φ: C5xQ8/C10C22 ⊆ Aut C23160C2^3.3(C5xQ8)320,897
C23.4(C5xQ8) = C5xC23.4Q8φ: C5xQ8/C10C22 ⊆ Aut C23160C2^3.4(C5xQ8)320,900
C23.5(C5xQ8) = C5xM4(2).C4φ: C5xQ8/C10C22 ⊆ Aut C23804C2^3.5(C5xQ8)320,931
C23.6(C5xQ8) = C5xC4.C42φ: C5xQ8/C20C2 ⊆ Aut C23160C2^3.6(C5xQ8)320,146
C23.7(C5xQ8) = C5xC23.7Q8φ: C5xQ8/C20C2 ⊆ Aut C23160C2^3.7(C5xQ8)320,881
C23.8(C5xQ8) = C5xC23.8Q8φ: C5xQ8/C20C2 ⊆ Aut C23160C2^3.8(C5xQ8)320,886
C23.9(C5xQ8) = C10xC8.C4φ: C5xQ8/C20C2 ⊆ Aut C23160C2^3.9(C5xQ8)320,930
C23.10(C5xQ8) = C10xC2.C42central extension (φ=1)320C2^3.10(C5xQ8)320,876
C23.11(C5xQ8) = C4:C4xC2xC10central extension (φ=1)320C2^3.11(C5xQ8)320,1515

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