Extensions 1→N→G→Q→1 with N=C2×C11⋊C8 and Q=C2

Direct product G=N×Q with N=C2×C11⋊C8 and Q=C2
dρLabelID
C22×C11⋊C8352C2^2xC11:C8352,115

Semidirect products G=N:Q with N=C2×C11⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C8)⋊1C2 = C22.D8φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):1C2352,15
(C2×C11⋊C8)⋊2C2 = D4⋊Dic11φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):2C2352,38
(C2×C11⋊C8)⋊3C2 = D44.C4φ: C2/C1C2 ⊆ Out C2×C11⋊C81764(C2xC11:C8):3C2352,102
(C2×C11⋊C8)⋊4C2 = C2×D4⋊D11φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):4C2352,126
(C2×C11⋊C8)⋊5C2 = C2×D4.D11φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):5C2352,128
(C2×C11⋊C8)⋊6C2 = C2×Q8⋊D11φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):6C2352,136
(C2×C11⋊C8)⋊7C2 = Q8.Dic11φ: C2/C1C2 ⊆ Out C2×C11⋊C81764(C2xC11:C8):7C2352,143
(C2×C11⋊C8)⋊8C2 = D4.8D22φ: C2/C1C2 ⊆ Out C2×C11⋊C81764(C2xC11:C8):8C2352,145
(C2×C11⋊C8)⋊9C2 = D22⋊C8φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):9C2352,26
(C2×C11⋊C8)⋊10C2 = C44.55D4φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):10C2352,36
(C2×C11⋊C8)⋊11C2 = C2×C88⋊C2φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):11C2352,95
(C2×C11⋊C8)⋊12C2 = C2×C44.C4φ: C2/C1C2 ⊆ Out C2×C11⋊C8176(C2xC11:C8):12C2352,116
(C2×C11⋊C8)⋊13C2 = C2×C8×D11φ: trivial image176(C2xC11:C8):13C2352,94

Non-split extensions G=N.Q with N=C2×C11⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C8).1C2 = C44.Q8φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).1C2352,13
(C2×C11⋊C8).2C2 = C4.Dic22φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).2C2352,14
(C2×C11⋊C8).3C2 = C22.Q16φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).3C2352,16
(C2×C11⋊C8).4C2 = C44.53D4φ: C2/C1C2 ⊆ Out C2×C11⋊C81764(C2xC11:C8).4C2352,28
(C2×C11⋊C8).5C2 = Q8⋊Dic11φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).5C2352,41
(C2×C11⋊C8).6C2 = C2×C11⋊Q16φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).6C2352,138
(C2×C11⋊C8).7C2 = C42.D11φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).7C2352,9
(C2×C11⋊C8).8C2 = C44⋊C8φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).8C2352,10
(C2×C11⋊C8).9C2 = Dic11⋊C8φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).9C2352,20
(C2×C11⋊C8).10C2 = C88⋊C4φ: C2/C1C2 ⊆ Out C2×C11⋊C8352(C2xC11:C8).10C2352,21
(C2×C11⋊C8).11C2 = C4×C11⋊C8φ: trivial image352(C2xC11:C8).11C2352,8
(C2×C11⋊C8).12C2 = C8×Dic11φ: trivial image352(C2xC11:C8).12C2352,19

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