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Extensions 1→N→G→Q→1 with N=C2×C52 and Q=C4

Direct product G=N×Q with N=C2×C52 and Q=C4
dρLabelID
C2×C4×C52416C2xC4xC52416,175

Semidirect products G=N:Q with N=C2×C52 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C52)⋊1C4 = D26.D4φ: C4/C1 → C4 ⊆ Aut C2×C521044+(C2xC52):1C4416,74
(C2×C52)⋊2C4 = D26.Q8φ: C4/C1 → C4 ⊆ Aut C2×C52104(C2xC52):2C4416,81
(C2×C52)⋊3C4 = C2×C52⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C52104(C2xC52):3C4416,203
(C2×C52)⋊4C4 = D26.C23φ: C4/C1 → C4 ⊆ Aut C2×C521044(C2xC52):4C4416,204
(C2×C52)⋊5C4 = C2×C4×C13⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C52104(C2xC52):5C4416,202
(C2×C52)⋊6C4 = C23⋊Dic13φ: C4/C1 → C4 ⊆ Aut C2×C521044(C2xC52):6C4416,41
(C2×C52)⋊7C4 = C13×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C521044(C2xC52):7C4416,49
(C2×C52)⋊8C4 = C26.10C42φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52):8C4416,38
(C2×C52)⋊9C4 = C13×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52):9C4416,45
(C2×C52)⋊10C4 = C2×C52⋊3C4φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52):10C4416,146
(C2×C52)⋊11C4 = C23.21D26φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52):11C4416,147
(C2×C52)⋊12C4 = C2×C4×Dic13φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52):12C4416,143
(C2×C52)⋊13C4 = C4⋊C4×C26φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52):13C4416,177
(C2×C52)⋊14C4 = C13×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52):14C4416,178

Non-split extensions G=N.Q with N=C2×C52 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C52).1C4 = Dic13.D4φ: C4/C1 → C4 ⊆ Aut C2×C522084-(C2xC52).1C4416,80
(C2×C52).2C4 = C26.C42φ: C4/C1 → C4 ⊆ Aut C2×C52416(C2xC52).2C4416,77
(C2×C52).3C4 = D26⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C52208(C2xC52).3C4416,78
(C2×C52).4C4 = Dic13⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C52416(C2xC52).4C4416,79
(C2×C52).5C4 = C52⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C52416(C2xC52).5C4416,76
(C2×C52).6C4 = C2×C52.C4φ: C4/C1 → C4 ⊆ Aut C2×C52208(C2xC52).6C4416,200
(C2×C52).7C4 = C52.C8φ: C4/C1 → C4 ⊆ Aut C2×C522084(C2xC52).7C4416,73
(C2×C52).8C4 = D13⋊M4(2)φ: C4/C1 → C4 ⊆ Aut C2×C521044(C2xC52).8C4416,201
(C2×C52).9C4 = C2×C13⋊C16φ: C4/C1 → C4 ⊆ Aut C2×C52416(C2xC52).9C4416,72
(C2×C52).10C4 = C4×C13⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C52416(C2xC52).10C4416,75
(C2×C52).11C4 = C2×D13⋊C8φ: C4/C1 → C4 ⊆ Aut C2×C52208(C2xC52).11C4416,199
(C2×C52).12C4 = C52.10D4φ: C4/C1 → C4 ⊆ Aut C2×C522084(C2xC52).12C4416,43
(C2×C52).13C4 = C13×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C522084(C2xC52).13C4416,51
(C2×C52).14C4 = C26.7C42φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).14C4416,10
(C2×C52).15C4 = C52.55D4φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52).15C4416,37
(C2×C52).16C4 = C13×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).16C4416,47
(C2×C52).17C4 = C13×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52).17C4416,48
(C2×C52).18C4 = C52⋊3C8φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).18C4416,11
(C2×C52).19C4 = C52.4C8φ: C4/C2 → C2 ⊆ Aut C2×C522082(C2xC52).19C4416,19
(C2×C52).20C4 = C2×C52.4C4φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52).20C4416,142
(C2×C52).21C4 = C4×C13⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).21C4416,9
(C2×C52).22C4 = C2×C13⋊2C16φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).22C4416,18
(C2×C52).23C4 = C22×C13⋊2C8φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).23C4416,141
(C2×C52).24C4 = C13×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C52416(C2xC52).24C4416,55
(C2×C52).25C4 = C13×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C522082(C2xC52).25C4416,60
(C2×C52).26C4 = M4(2)×C26φ: C4/C2 → C2 ⊆ Aut C2×C52208(C2xC52).26C4416,191

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