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Extensions 1→N→G→Q→1 with N=C2×C84 and Q=C2

Direct product G=N×Q with N=C2×C84 and Q=C2
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C2×C84 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C84)⋊1C2 = C3×D14⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):1C2336,68
(C2×C84)⋊2C2 = C7×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):2C2336,84
(C2×C84)⋊3C2 = C2.D84φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):3C2336,100
(C2×C84)⋊4C2 = C22⋊C4×C21φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):4C2336,107
(C2×C84)⋊5C2 = C2×D84φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):5C2336,196
(C2×C84)⋊6C2 = D84⋊11C2φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84):6C2336,197
(C2×C84)⋊7C2 = C2×C4×D21φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):7C2336,195
(C2×C84)⋊8C2 = C6×D28φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):8C2336,176
(C2×C84)⋊9C2 = C3×C4○D28φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84):9C2336,177
(C2×C84)⋊10C2 = D7×C2×C12φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):10C2336,175
(C2×C84)⋊11C2 = C14×D12φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):11C2336,186
(C2×C84)⋊12C2 = C7×C4○D12φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84):12C2336,187
(C2×C84)⋊13C2 = S3×C2×C28φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):13C2336,185
(C2×C84)⋊14C2 = D4×C42φ: C2/C1 → C2 ⊆ Aut C2×C84168(C2xC84):14C2336,205
(C2×C84)⋊15C2 = C4○D4×C21φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84):15C2336,207

Non-split extensions G=N.Q with N=C2×C84 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C84).1C2 = C3×Dic7⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).1C2336,66
(C2×C84).2C2 = C7×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).2C2336,82
(C2×C84).3C2 = C42.4Q8φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).3C2336,98
(C2×C84).4C2 = C4⋊C4×C21φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).4C2336,108
(C2×C84).5C2 = C84⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).5C2336,99
(C2×C84).6C2 = C2×Dic42φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).6C2336,194
(C2×C84).7C2 = C84.C4φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84).7C2336,96
(C2×C84).8C2 = C2×C21⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).8C2336,95
(C2×C84).9C2 = C4×Dic21φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).9C2336,97
(C2×C84).10C2 = C3×C4⋊Dic7φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).10C2336,67
(C2×C84).11C2 = C6×Dic14φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).11C2336,174
(C2×C84).12C2 = C3×C4.Dic7φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84).12C2336,64
(C2×C84).13C2 = C6×C7⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).13C2336,63
(C2×C84).14C2 = C12×Dic7φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).14C2336,65
(C2×C84).15C2 = C7×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).15C2336,83
(C2×C84).16C2 = C14×Dic6φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).16C2336,184
(C2×C84).17C2 = C7×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84).17C2336,80
(C2×C84).18C2 = C14×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).18C2336,79
(C2×C84).19C2 = Dic3×C28φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).19C2336,81
(C2×C84).20C2 = M4(2)×C21φ: C2/C1 → C2 ⊆ Aut C2×C841682(C2xC84).20C2336,110
(C2×C84).21C2 = Q8×C42φ: C2/C1 → C2 ⊆ Aut C2×C84336(C2xC84).21C2336,206

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