Extensions 1→N→G→Q→1 with N=C5 and Q=C23.38C23

Direct product G=N×Q with N=C5 and Q=C23.38C23

Semidirect products G=N:Q with N=C5 and Q=C23.38C23
extensionφ:Q→Aut NdρLabelID
C51(C23.38C23) = C42.92D10φ: C23.38C23/C42⋊C2C2 ⊆ Aut C5160C5:1(C2^3.38C2^3)320,1198
C52(C23.38C23) = C10.162- 1+4φ: C23.38C23/C22⋊Q8C2 ⊆ Aut C5160C5:2(C2^3.38C2^3)320,1300
C53(C23.38C23) = C10.792- 1+4φ: C23.38C23/C22.D4C2 ⊆ Aut C5160C5:3(C2^3.38C2^3)320,1320
C54(C23.38C23) = C42.141D10φ: C23.38C23/C4.4D4C2 ⊆ Aut C5160C5:4(C2^3.38C2^3)320,1347
C55(C23.38C23) = C42.171D10φ: C23.38C23/C4⋊Q8C2 ⊆ Aut C5160C5:5(C2^3.38C2^3)320,1396
C56(C23.38C23) = C10.442- 1+4φ: C23.38C23/C22×Q8C2 ⊆ Aut C5160C5:6(C2^3.38C2^3)320,1488
C57(C23.38C23) = C10.1052- 1+4φ: C23.38C23/C2×C4○D4C2 ⊆ Aut C5160C5:7(C2^3.38C2^3)320,1497