Extensions 1→N→G→Q→1 with N=C40 and Q=Q8

Direct product G=N×Q with N=C40 and Q=Q8
dρLabelID
Q8×C40320Q8xC40320,946

Semidirect products G=N:Q with N=C40 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C401Q8 = C8⋊Dic10φ: Q8/C2C22 ⊆ Aut C40320C40:1Q8320,329
C402Q8 = C402Q8φ: Q8/C2C22 ⊆ Aut C40320C40:2Q8320,501
C403Q8 = C403Q8φ: Q8/C2C22 ⊆ Aut C40320C40:3Q8320,483
C404Q8 = C404Q8φ: Q8/C2C22 ⊆ Aut C40320C40:4Q8320,503
C405Q8 = C405Q8φ: Q8/C2C22 ⊆ Aut C40320C40:5Q8320,482
C406Q8 = C40⋊Q8φ: Q8/C2C22 ⊆ Aut C40320C40:6Q8320,328
C407Q8 = C5×C8⋊Q8φ: Q8/C2C22 ⊆ Aut C40320C40:7Q8320,1002
C408Q8 = C408Q8φ: Q8/C4C2 ⊆ Aut C40320C40:8Q8320,309
C409Q8 = C409Q8φ: Q8/C4C2 ⊆ Aut C40320C40:9Q8320,307
C4010Q8 = C8×Dic10φ: Q8/C4C2 ⊆ Aut C40320C40:10Q8320,305
C4011Q8 = C4011Q8φ: Q8/C4C2 ⊆ Aut C40320C40:11Q8320,306
C4012Q8 = C5×C82Q8φ: Q8/C4C2 ⊆ Aut C40320C40:12Q8320,1001
C4013Q8 = C5×C83Q8φ: Q8/C4C2 ⊆ Aut C40320C40:13Q8320,999
C4014Q8 = C5×C84Q8φ: Q8/C4C2 ⊆ Aut C40320C40:14Q8320,947

Non-split extensions G=N.Q with N=C40 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C40.1Q8 = C40.Q8φ: Q8/C2C22 ⊆ Aut C40804C40.1Q8320,71
C40.2Q8 = C40.2Q8φ: Q8/C2C22 ⊆ Aut C40320C40.2Q8320,47
C40.3Q8 = C10.SD32φ: Q8/C2C22 ⊆ Aut C40320C40.3Q8320,48
C40.4Q8 = C8.6Dic10φ: Q8/C2C22 ⊆ Aut C40320C40.4Q8320,505
C40.5Q8 = C8.Dic10φ: Q8/C2C22 ⊆ Aut C40804C40.5Q8320,45
C40.6Q8 = C40.6Q8φ: Q8/C2C22 ⊆ Aut C40804C40.6Q8320,52
C40.7Q8 = C40.7Q8φ: Q8/C2C22 ⊆ Aut C401604C40.7Q8320,51
C40.8Q8 = C8.8Dic10φ: Q8/C2C22 ⊆ Aut C40320C40.8Q8320,485
C40.9Q8 = C40.9Q8φ: Q8/C2C22 ⊆ Aut C40804C40.9Q8320,69
C40.10Q8 = C5×C8.Q8φ: Q8/C2C22 ⊆ Aut C40804C40.10Q8320,170
C40.11Q8 = C8013C4φ: Q8/C4C2 ⊆ Aut C40320C40.11Q8320,62
C40.12Q8 = C8014C4φ: Q8/C4C2 ⊆ Aut C40320C40.12Q8320,63
C40.13Q8 = C40.13Q8φ: Q8/C4C2 ⊆ Aut C40320C40.13Q8320,310
C40.14Q8 = C80.6C4φ: Q8/C4C2 ⊆ Aut C401602C40.14Q8320,64
C40.15Q8 = C203C16φ: Q8/C4C2 ⊆ Aut C40320C40.15Q8320,20
C40.16Q8 = C40.7C8φ: Q8/C4C2 ⊆ Aut C40802C40.16Q8320,21
C40.17Q8 = C40.88D4φ: Q8/C4C2 ⊆ Aut C40320C40.17Q8320,59
C40.18Q8 = C5×C163C4φ: Q8/C4C2 ⊆ Aut C40320C40.18Q8320,171
C40.19Q8 = C5×C164C4φ: Q8/C4C2 ⊆ Aut C40320C40.19Q8320,172
C40.20Q8 = C5×C8.4Q8φ: Q8/C4C2 ⊆ Aut C401602C40.20Q8320,173
C40.21Q8 = C5×C8.5Q8φ: Q8/C4C2 ⊆ Aut C40320C40.21Q8320,1000
C40.22Q8 = C5×C8.C8φ: Q8/C4C2 ⊆ Aut C40802C40.22Q8320,169
C40.23Q8 = C5×C4⋊C16central extension (φ=1)320C40.23Q8320,168

׿
×
𝔽