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Extensions 1→N→G→Q→1 with N=C2×C28 and Q=C6

Direct product G=N×Q with N=C2×C28 and Q=C6
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C2×C28 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C28)⋊1C6 = D28⋊6C6φ: C6/C1 → C6 ⊆ Aut C2×C28566(C2xC28):1C6336,124
(C2×C28)⋊2C6 = C2×C4⋊F7φ: C6/C1 → C6 ⊆ Aut C2×C2856(C2xC28):2C6336,123
(C2×C28)⋊3C6 = C2×C4×F7φ: C6/C1 → C6 ⊆ Aut C2×C2856(C2xC28):3C6336,122
(C2×C28)⋊4C6 = C2×D4×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C2856(C2xC28):4C6336,165
(C2×C28)⋊5C6 = C4○D4×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C28566(C2xC28):5C6336,167
(C2×C28)⋊6C6 = D14⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C2856(C2xC28):6C6336,17
(C2×C28)⋊7C6 = C22⋊C4×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C2856(C2xC28):7C6336,49
(C2×C28)⋊8C6 = C22×C4×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C2×C28112(C2xC28):8C6336,164
(C2×C28)⋊9C6 = C3×D14⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C28168(C2xC28):9C6336,68
(C2×C28)⋊10C6 = C22⋊C4×C21φ: C6/C3 → C2 ⊆ Aut C2×C28168(C2xC28):10C6336,107
(C2×C28)⋊11C6 = C6×D28φ: C6/C3 → C2 ⊆ Aut C2×C28168(C2xC28):11C6336,176
(C2×C28)⋊12C6 = C3×C4○D28φ: C6/C3 → C2 ⊆ Aut C2×C281682(C2xC28):12C6336,177
(C2×C28)⋊13C6 = D7×C2×C12φ: C6/C3 → C2 ⊆ Aut C2×C28168(C2xC28):13C6336,175
(C2×C28)⋊14C6 = D4×C42φ: C6/C3 → C2 ⊆ Aut C2×C28168(C2xC28):14C6336,205
(C2×C28)⋊15C6 = C4○D4×C21φ: C6/C3 → C2 ⊆ Aut C2×C281682(C2xC28):15C6336,207

Non-split extensions G=N.Q with N=C2×C28 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C28).1C6 = C28.C12φ: C6/C1 → C6 ⊆ Aut C2×C28566(C2xC28).1C6336,13
(C2×C28).2C6 = C28⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).2C6336,16
(C2×C28).3C6 = C2×C4.F7φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).3C6336,121
(C2×C28).4C6 = C2×C7⋊C24φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).4C6336,12
(C2×C28).5C6 = C4×C7⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).5C6336,14
(C2×C28).6C6 = M4(2)×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C28566(C2xC28).6C6336,52
(C2×C28).7C6 = C2×Q8×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).7C6336,166
(C2×C28).8C6 = Dic7⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).8C6336,15
(C2×C28).9C6 = C4⋊C4×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C28112(C2xC28).9C6336,50
(C2×C28).10C6 = C42×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C2×C28112(C2xC28).10C6336,48
(C2×C28).11C6 = C2×C8×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C2×C28112(C2xC28).11C6336,51
(C2×C28).12C6 = C3×Dic7⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).12C6336,66
(C2×C28).13C6 = C4⋊C4×C21φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).13C6336,108
(C2×C28).14C6 = C3×C4⋊Dic7φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).14C6336,67
(C2×C28).15C6 = C6×Dic14φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).15C6336,174
(C2×C28).16C6 = C3×C4.Dic7φ: C6/C3 → C2 ⊆ Aut C2×C281682(C2xC28).16C6336,64
(C2×C28).17C6 = C6×C7⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).17C6336,63
(C2×C28).18C6 = C12×Dic7φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).18C6336,65
(C2×C28).19C6 = M4(2)×C21φ: C6/C3 → C2 ⊆ Aut C2×C281682(C2xC28).19C6336,110
(C2×C28).20C6 = Q8×C42φ: C6/C3 → C2 ⊆ Aut C2×C28336(C2xC28).20C6336,206

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