Extensions 1→N→G→Q→1 with N=C5⋊C8 and Q=C23

Direct product G=N×Q with N=C5⋊C8 and Q=C23

Semidirect products G=N:Q with N=C5⋊C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C5⋊C81C23 = C22×C4.F5φ: C23/C22C2 ⊆ Out C5⋊C8160C5:C8:1C2^3320,1588
C5⋊C82C23 = C2×D5⋊M4(2)φ: C23/C22C2 ⊆ Out C5⋊C880C5:C8:2C2^3320,1589
C5⋊C83C23 = C22×C22.F5φ: C23/C22C2 ⊆ Out C5⋊C8160C5:C8:3C2^3320,1606
C5⋊C84C23 = C22×D5⋊C8φ: trivial image160C5:C8:4C2^3320,1587

Non-split extensions G=N.Q with N=C5⋊C8 and Q=C23
extensionφ:Q→Out NdρLabelID
C5⋊C8.1C23 = C2×D4.F5φ: C23/C22C2 ⊆ Out C5⋊C8160C5:C8.1C2^3320,1593
C5⋊C8.2C23 = Dic5.C24φ: C23/C22C2 ⊆ Out C5⋊C8808-C5:C8.2C2^3320,1594
C5⋊C8.3C23 = C2×Q8.F5φ: C23/C22C2 ⊆ Out C5⋊C8160C5:C8.3C2^3320,1597
C5⋊C8.4C23 = Dic5.20C24φ: C23/C22C2 ⊆ Out C5⋊C8808+C5:C8.4C2^3320,1598
C5⋊C8.5C23 = Dic5.22C24φ: C23/C22C2 ⊆ Out C5⋊C8808C5:C8.5C2^3320,1602
C5⋊C8.6C23 = Dic5.21C24φ: trivial image808C5:C8.6C2^3320,1601