Extensions 1→N→G→Q→1 with N=C52C8 and Q=Q8

Direct product G=N×Q with N=C52C8 and Q=Q8
dρLabelID
Q8×C52C8320Q8xC5:2C8320,650

Semidirect products G=N:Q with N=C52C8 and Q=Q8
extensionφ:Q→Out NdρLabelID
C52C81Q8 = C403Q8φ: Q8/C2C22 ⊆ Out C52C8320C5:2C8:1Q8320,483
C52C82Q8 = C404Q8φ: Q8/C2C22 ⊆ Out C52C8320C5:2C8:2Q8320,503
C52C83Q8 = C42.68D10φ: Q8/C2C22 ⊆ Out C52C8320C5:2C8:3Q8320,692
C52C84Q8 = C42.76D10φ: Q8/C2C22 ⊆ Out C52C8320C5:2C8:4Q8320,707
C52C85Q8 = C405Q8φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:5Q8320,482
C52C86Q8 = C402Q8φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:6Q8320,501
C52C87Q8 = C20.17D8φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:7Q8320,705
C52C88Q8 = C20.SD16φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:8Q8320,706
C52C89Q8 = Dic5.5M4(2)φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:9Q8320,455
C52C810Q8 = C42.198D10φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:10Q8320,458
C52C811Q8 = C42.210D10φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8:11Q8320,651
C52C812Q8 = Dic105C8φ: trivial image320C5:2C8:12Q8320,457

Non-split extensions G=N.Q with N=C52C8 and Q=Q8
extensionφ:Q→Out NdρLabelID
C52C8.1Q8 = C804C4φ: Q8/C2C22 ⊆ Out C52C8804C5:2C8.1Q8320,185
C52C8.2Q8 = C805C4φ: Q8/C2C22 ⊆ Out C52C8804C5:2C8.2Q8320,186
C52C8.3Q8 = C8.8Dic10φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8.3Q8320,485
C52C8.4Q8 = C8.6Dic10φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8.4Q8320,505
C52C8.5Q8 = C42.215D10φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8.5Q8320,691
C52C8.6Q8 = C802C4φ: Q8/C4C2 ⊆ Out C52C8804C5:2C8.6Q8320,187
C52C8.7Q8 = C803C4φ: Q8/C4C2 ⊆ Out C52C8804C5:2C8.7Q8320,188
C52C8.8Q8 = C16.F5φ: Q8/C4C2 ⊆ Out C52C81604C5:2C8.8Q8320,189
C52C8.9Q8 = C80.2C4φ: Q8/C4C2 ⊆ Out C52C81604C5:2C8.9Q8320,190
C52C8.10Q8 = C20⋊C16φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8.10Q8320,196
C52C8.11Q8 = C42.9F5φ: Q8/C4C2 ⊆ Out C52C8804C5:2C8.11Q8320,199
C52C8.12Q8 = C10.M5(2)φ: Q8/C4C2 ⊆ Out C52C8320C5:2C8.12Q8320,226
C52C8.13Q8 = C40.1C8φ: Q8/C4C2 ⊆ Out C52C8804C5:2C8.13Q8320,227

׿
×
𝔽