# Extensions 1→N→G→Q→1 with N=C104 and Q=C4

Direct product G=N×Q with N=C104 and Q=C4
dρLabelID
C4×C104416C4xC104416,46

Semidirect products G=N:Q with N=C104 and Q=C4
extensionφ:Q→Aut NdρLabelID
C1041C4 = D13.D8φ: C4/C1C4 ⊆ Aut C1041044C104:1C4416,69
C1042C4 = D26.8D4φ: C4/C1C4 ⊆ Aut C1041044C104:2C4416,68
C1043C4 = C8×C13⋊C4φ: C4/C1C4 ⊆ Aut C1041044C104:3C4416,66
C1044C4 = C104⋊C4φ: C4/C1C4 ⊆ Aut C1041044C104:4C4416,67
C1045C4 = C1045C4φ: C4/C2C2 ⊆ Aut C104416C104:5C4416,25
C1046C4 = C1046C4φ: C4/C2C2 ⊆ Aut C104416C104:6C4416,24
C1047C4 = C8×Dic13φ: C4/C2C2 ⊆ Aut C104416C104:7C4416,20
C1048C4 = C1048C4φ: C4/C2C2 ⊆ Aut C104416C104:8C4416,22
C1049C4 = C13×C2.D8φ: C4/C2C2 ⊆ Aut C104416C104:9C4416,57
C10410C4 = C13×C4.Q8φ: C4/C2C2 ⊆ Aut C104416C104:10C4416,56
C10411C4 = C13×C8⋊C4φ: C4/C2C2 ⊆ Aut C104416C104:11C4416,47

Non-split extensions G=N.Q with N=C104 and Q=C4
extensionφ:Q→Aut NdρLabelID
C104.1C4 = C104.1C4φ: C4/C1C4 ⊆ Aut C1042084C104.1C4416,71
C104.2C4 = C104.C4φ: C4/C1C4 ⊆ Aut C1042084C104.2C4416,70
C104.3C4 = C13⋊C32φ: C4/C1C4 ⊆ Aut C1044164C104.3C4416,3
C104.4C4 = D13⋊C16φ: C4/C1C4 ⊆ Aut C1042084C104.4C4416,64
C104.5C4 = D26.C8φ: C4/C1C4 ⊆ Aut C1042084C104.5C4416,65
C104.6C4 = C104.6C4φ: C4/C2C2 ⊆ Aut C1042082C104.6C4416,26
C104.7C4 = C132C32φ: C4/C2C2 ⊆ Aut C1044162C104.7C4416,1
C104.8C4 = C2×C132C16φ: C4/C2C2 ⊆ Aut C104416C104.8C4416,18
C104.9C4 = C52.4C8φ: C4/C2C2 ⊆ Aut C1042082C104.9C4416,19
C104.10C4 = C13×C8.C4φ: C4/C2C2 ⊆ Aut C1042082C104.10C4416,58
C104.11C4 = C13×M5(2)φ: C4/C2C2 ⊆ Aut C1042082C104.11C4416,60

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