# Extensions 1→N→G→Q→1 with N=C22×C8 and Q=C6

Direct product G=N×Q with N=C22×C8 and Q=C6
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C22×C8 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C8)⋊1C6 = A4×D8φ: C6/C1C6 ⊆ Aut C22×C8246+(C2^2xC8):1C6192,1014
(C22×C8)⋊2C6 = A4×SD16φ: C6/C1C6 ⊆ Aut C22×C8246(C2^2xC8):2C6192,1015
(C22×C8)⋊3C6 = A4×M4(2)φ: C6/C1C6 ⊆ Aut C22×C8246(C2^2xC8):3C6192,1011
(C22×C8)⋊4C6 = A4×C2×C8φ: C6/C2C3 ⊆ Aut C22×C848(C2^2xC8):4C6192,1010
(C22×C8)⋊5C6 = C6×C22⋊C8φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):5C6192,839
(C22×C8)⋊6C6 = C3×(C22×C8)⋊C2φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):6C6192,841
(C22×C8)⋊7C6 = C6×D4⋊C4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):7C6192,847
(C22×C8)⋊8C6 = C3×C23.24D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):8C6192,849
(C22×C8)⋊9C6 = D4×C24φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):9C6192,867
(C22×C8)⋊10C6 = C3×C87D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):10C6192,899
(C22×C8)⋊11C6 = C2×C6×D8φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):11C6192,1458
(C22×C8)⋊12C6 = C6×C4○D8φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):12C6192,1461
(C22×C8)⋊13C6 = C3×C88D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):13C6192,898
(C22×C8)⋊14C6 = C2×C6×SD16φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):14C6192,1459
(C22×C8)⋊15C6 = C3×C89D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):15C6192,868
(C22×C8)⋊16C6 = C2×C6×M4(2)φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):16C6192,1455
(C22×C8)⋊17C6 = C6×C8○D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8):17C6192,1456

Non-split extensions G=N.Q with N=C22×C8 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C8).C6 = A4×Q16φ: C6/C1C6 ⊆ Aut C22×C8486-(C2^2xC8).C6192,1016
(C22×C8).2C6 = A4×C16φ: C6/C2C3 ⊆ Aut C22×C8483(C2^2xC8).2C6192,203
(C22×C8).3C6 = C3×C22.7C42φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).3C6192,142
(C22×C8).4C6 = C3×C22.4Q16φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).4C6192,146
(C22×C8).5C6 = C3×C4.C42φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).5C6192,147
(C22×C8).6C6 = C3×C22⋊C16φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).6C6192,154
(C22×C8).7C6 = C6×Q8⋊C4φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).7C6192,848
(C22×C8).8C6 = C6×C4⋊C8φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).8C6192,855
(C22×C8).9C6 = C3×C42.6C22φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).9C6192,857
(C22×C8).10C6 = C6×C2.D8φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).10C6192,859
(C22×C8).11C6 = C3×C8.18D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).11C6192,900
(C22×C8).12C6 = C2×C6×Q16φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).12C6192,1460
(C22×C8).13C6 = C3×C23.25D4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).13C6192,860
(C22×C8).14C6 = C6×C8.C4φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).14C6192,862
(C22×C8).15C6 = C6×C4.Q8φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).15C6192,858
(C22×C8).16C6 = C6×C8⋊C4φ: C6/C3C2 ⊆ Aut C22×C8192(C2^2xC8).16C6192,836
(C22×C8).17C6 = C3×C82M4(2)φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).17C6192,838
(C22×C8).18C6 = C6×M5(2)φ: C6/C3C2 ⊆ Aut C22×C896(C2^2xC8).18C6192,936

׿
×
𝔽