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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
C40⋊1Q8 = C8⋊Dic10φ: Q8/C2 → C22 ⊆ Aut C40320C40:1Q8320,329
C40⋊2Q8 = C40⋊2Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:2Q8320,501
C40⋊3Q8 = C40⋊3Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:3Q8320,483
C40⋊4Q8 = C40⋊4Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:4Q8320,503
C40⋊5Q8 = C40⋊5Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:5Q8320,482
C40⋊6Q8 = C40⋊Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:6Q8320,328
C40⋊7Q8 = C5×C8⋊Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40:7Q8320,1002
C40⋊8Q8 = C40⋊8Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40:8Q8320,309
C40⋊9Q8 = C40⋊9Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40:9Q8320,307
C40⋊10Q8 = C8×Dic10φ: Q8/C4 → C2 ⊆ Aut C40320C40:10Q8320,305
C40⋊11Q8 = C40⋊11Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40:11Q8320,306
C40⋊12Q8 = C5×C8⋊2Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40:12Q8320,1001
C40⋊13Q8 = C5×C8⋊3Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40:13Q8320,999
C40⋊14Q8 = C5×C8⋊4Q8φ: Q8/C4 → C2 ⊆ 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/C2 → C22 ⊆ Aut C40804C40.1Q8320,71
C40.2Q8 = C40.2Q8φ: Q8/C2 → C22 ⊆ Aut C40320C40.2Q8320,47
C40.3Q8 = C10.SD32φ: Q8/C2 → C22 ⊆ Aut C40320C40.3Q8320,48
C40.4Q8 = C8.6Dic10φ: Q8/C2 → C22 ⊆ Aut C40320C40.4Q8320,505
C40.5Q8 = C8.Dic10φ: Q8/C2 → C22 ⊆ Aut C40804C40.5Q8320,45
C40.6Q8 = C40.6Q8φ: Q8/C2 → C22 ⊆ Aut C40804C40.6Q8320,52
C40.7Q8 = C40.7Q8φ: Q8/C2 → C22 ⊆ Aut C401604C40.7Q8320,51
C40.8Q8 = C8.8Dic10φ: Q8/C2 → C22 ⊆ Aut C40320C40.8Q8320,485
C40.9Q8 = C40.9Q8φ: Q8/C2 → C22 ⊆ Aut C40804C40.9Q8320,69
C40.10Q8 = C5×C8.Q8φ: Q8/C2 → C22 ⊆ Aut C40804C40.10Q8320,170
C40.11Q8 = C80⋊13C4φ: Q8/C4 → C2 ⊆ Aut C40320C40.11Q8320,62
C40.12Q8 = C80⋊14C4φ: Q8/C4 → C2 ⊆ Aut C40320C40.12Q8320,63
C40.13Q8 = C40.13Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40.13Q8320,310
C40.14Q8 = C80.6C4φ: Q8/C4 → C2 ⊆ Aut C401602C40.14Q8320,64
C40.15Q8 = C20⋊3C16φ: Q8/C4 → C2 ⊆ Aut C40320C40.15Q8320,20
C40.16Q8 = C40.7C8φ: Q8/C4 → C2 ⊆ Aut C40802C40.16Q8320,21
C40.17Q8 = C40.88D4φ: Q8/C4 → C2 ⊆ Aut C40320C40.17Q8320,59
C40.18Q8 = C5×C16⋊3C4φ: Q8/C4 → C2 ⊆ Aut C40320C40.18Q8320,171
C40.19Q8 = C5×C16⋊4C4φ: Q8/C4 → C2 ⊆ Aut C40320C40.19Q8320,172
C40.20Q8 = C5×C8.4Q8φ: Q8/C4 → C2 ⊆ Aut C401602C40.20Q8320,173
C40.21Q8 = C5×C8.5Q8φ: Q8/C4 → C2 ⊆ Aut C40320C40.21Q8320,1000
C40.22Q8 = C5×C8.C8φ: Q8/C4 → C2 ⊆ Aut C40802C40.22Q8320,169
C40.23Q8 = C5×C4⋊C16central extension (φ=1)320C40.23Q8320,168

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