# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C22

Direct product G=N×Q with N=C2×C4 and Q=C22
dρLabelID
C23×C432C2^3xC432,45

Semidirect products G=N:Q with N=C2×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C22 = C22≀C2φ: C22/C1C22 ⊆ Aut C2×C48(C2xC4):1C2^232,27
(C2×C4)⋊2C22 = 2+ 1+4φ: C22/C1C22 ⊆ Aut C2×C484+(C2xC4):2C2^232,49
(C2×C4)⋊3C22 = C2×C22⋊C4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4):3C2^232,22
(C2×C4)⋊4C22 = C22×D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4):4C2^232,46
(C2×C4)⋊5C22 = C2×C4○D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4):5C2^232,48

Non-split extensions G=N.Q with N=C2×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C22 = C4.D4φ: C22/C1C22 ⊆ Aut C2×C484+(C2xC4).1C2^232,7
(C2×C4).2C22 = C4.10D4φ: C22/C1C22 ⊆ Aut C2×C4164-(C2xC4).2C2^232,8
(C2×C4).3C22 = C42.C2φ: C22/C1C22 ⊆ Aut C2×C432(C2xC4).3C2^232,32
(C2×C4).4C22 = C422C2φ: C22/C1C22 ⊆ Aut C2×C416(C2xC4).4C2^232,33
(C2×C4).5C22 = C4⋊Q8φ: C22/C1C22 ⊆ Aut C2×C432(C2xC4).5C2^232,35
(C2×C4).6C22 = C8⋊C22φ: C22/C1C22 ⊆ Aut C2×C484+(C2xC4).6C2^232,43
(C2×C4).7C22 = C8.C22φ: C22/C1C22 ⊆ Aut C2×C4164-(C2xC4).7C2^232,44
(C2×C4).8C22 = 2- 1+4φ: C22/C1C22 ⊆ Aut C2×C4164-(C2xC4).8C2^232,50
(C2×C4).9C22 = C2×C4⋊C4φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).9C2^232,23
(C2×C4).10C22 = C42⋊C2φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).10C2^232,24
(C2×C4).11C22 = C4×D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).11C2^232,25
(C2×C4).12C22 = C4×Q8φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).12C2^232,26
(C2×C4).13C22 = C22.D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).13C2^232,30
(C2×C4).14C22 = D4⋊C4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).14C2^232,9
(C2×C4).15C22 = Q8⋊C4φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).15C2^232,10
(C2×C4).16C22 = C4≀C2φ: C22/C2C2 ⊆ Aut C2×C482(C2xC4).16C2^232,11
(C2×C4).17C22 = C4.Q8φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).17C2^232,13
(C2×C4).18C22 = C2.D8φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).18C2^232,14
(C2×C4).19C22 = C8.C4φ: C22/C2C2 ⊆ Aut C2×C4162(C2xC4).19C2^232,15
(C2×C4).20C22 = C4⋊D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).20C2^232,28
(C2×C4).21C22 = C22⋊Q8φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).21C2^232,29
(C2×C4).22C22 = C4.4D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).22C2^232,31
(C2×C4).23C22 = C41D4φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).23C2^232,34
(C2×C4).24C22 = C2×M4(2)φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).24C2^232,37
(C2×C4).25C22 = C8○D4φ: C22/C2C2 ⊆ Aut C2×C4162(C2xC4).25C2^232,38
(C2×C4).26C22 = C2×D8φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).26C2^232,39
(C2×C4).27C22 = C2×SD16φ: C22/C2C2 ⊆ Aut C2×C416(C2xC4).27C2^232,40
(C2×C4).28C22 = C2×Q16φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).28C2^232,41
(C2×C4).29C22 = C4○D8φ: C22/C2C2 ⊆ Aut C2×C4162(C2xC4).29C2^232,42
(C2×C4).30C22 = C22×Q8φ: C22/C2C2 ⊆ Aut C2×C432(C2xC4).30C2^232,47
(C2×C4).31C22 = C8⋊C4central extension (φ=1)32(C2xC4).31C2^232,4
(C2×C4).32C22 = C22⋊C8central extension (φ=1)16(C2xC4).32C2^232,5
(C2×C4).33C22 = C4⋊C8central extension (φ=1)32(C2xC4).33C2^232,12

׿
×
𝔽