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Extensions 1→N→G→Q→1 with N=C5 and Q=C23.36C23

Direct product G=N×Q with N=C5 and Q=C23.36C23
dρLabelID
C5×C23.36C23160C5xC2^3.36C2^3320,1531

Semidirect products G=N:Q with N=C5 and Q=C23.36C23
extensionφ:Q→Aut NdρLabelID
C5⋊1(C23.36C23) = C42.277D10φ: C23.36C23/C2×C42 → C2 ⊆ Aut C5160C5:1(C2^3.36C2^3)320,1151
C5⋊2(C23.36C23) = C42.93D10φ: C23.36C23/C42⋊C2 → C2 ⊆ Aut C5160C5:2(C2^3.36C2^3)320,1200
C5⋊3(C23.36C23) = C42.102D10φ: C23.36C23/C4×D4 → C2 ⊆ Aut C5160C5:3(C2^3.36C2^3)320,1210
C5⋊4(C23.36C23) = C42.229D10φ: C23.36C23/C4×D4 → C2 ⊆ Aut C5160C5:4(C2^3.36C2^3)320,1229
C5⋊5(C23.36C23) = C42.131D10φ: C23.36C23/C4×Q8 → C2 ⊆ Aut C5160C5:5(C2^3.36C2^3)320,1252
C5⋊6(C23.36C23) = C4⋊C4.178D10φ: C23.36C23/C4⋊D4 → C2 ⊆ Aut C5160C5:6(C2^3.36C2^3)320,1272
C5⋊7(C23.36C23) = C22⋊Q8⋊25D5φ: C23.36C23/C22⋊Q8 → C2 ⊆ Aut C5160C5:7(C2^3.36C2^3)320,1296
C5⋊8(C23.36C23) = C4⋊C4.197D10φ: C23.36C23/C22.D4 → C2 ⊆ Aut C5160C5:8(C2^3.36C2^3)320,1321
C5⋊9(C23.36C23) = C42.234D10φ: C23.36C23/C4.4D4 → C2 ⊆ Aut C5160C5:9(C2^3.36C2^3)320,1352
C5⋊10(C23.36C23) = C42.237D10φ: C23.36C23/C42.C2 → C2 ⊆ Aut C5160C5:10(C2^3.36C2^3)320,1363
C5⋊11(C23.36C23) = C42.189D10φ: C23.36C23/C42⋊2C2 → C2 ⊆ Aut C5160C5:11(C2^3.36C2^3)320,1378


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