Extensions 1→N→G→Q→1 with N=C9×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C9×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C18288C4:C4xC18288,166

Semidirect products G=N:Q with N=C9×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×C4⋊C4)⋊1C2 = C18.D8φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):1C2288,17
(C9×C4⋊C4)⋊2C2 = C4⋊C4×D9φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):2C2288,101
(C9×C4⋊C4)⋊3C2 = C4⋊C47D9φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):3C2288,102
(C9×C4⋊C4)⋊4C2 = D36⋊C4φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):4C2288,103
(C9×C4⋊C4)⋊5C2 = D18.D4φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):5C2288,104
(C9×C4⋊C4)⋊6C2 = C4⋊D36φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):6C2288,105
(C9×C4⋊C4)⋊7C2 = D18⋊Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):7C2288,106
(C9×C4⋊C4)⋊8C2 = D182Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):8C2288,107
(C9×C4⋊C4)⋊9C2 = C4⋊C4⋊D9φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):9C2288,108
(C9×C4⋊C4)⋊10C2 = C9×D4⋊C4φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):10C2288,52
(C9×C4⋊C4)⋊11C2 = C9×C4⋊D4φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):11C2288,171
(C9×C4⋊C4)⋊12C2 = C9×C22⋊Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):12C2288,172
(C9×C4⋊C4)⋊13C2 = C9×C22.D4φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):13C2288,173
(C9×C4⋊C4)⋊14C2 = C9×C422C2φ: C2/C1C2 ⊆ Out C9×C4⋊C4144(C9xC4:C4):14C2288,176
(C9×C4⋊C4)⋊15C2 = C9×C42⋊C2φ: trivial image144(C9xC4:C4):15C2288,167
(C9×C4⋊C4)⋊16C2 = D4×C36φ: trivial image144(C9xC4:C4):16C2288,168

Non-split extensions G=N.Q with N=C9×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×C4⋊C4).1C2 = C36.Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).1C2288,14
(C9×C4⋊C4).2C2 = C4.Dic18φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).2C2288,15
(C9×C4⋊C4).3C2 = C18.Q16φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).3C2288,16
(C9×C4⋊C4).4C2 = Dic93Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).4C2288,97
(C9×C4⋊C4).5C2 = C36⋊Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).5C2288,98
(C9×C4⋊C4).6C2 = Dic9.Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).6C2288,99
(C9×C4⋊C4).7C2 = C36.3Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).7C2288,100
(C9×C4⋊C4).8C2 = C9×Q8⋊C4φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).8C2288,53
(C9×C4⋊C4).9C2 = C9×C4.Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).9C2288,56
(C9×C4⋊C4).10C2 = C9×C2.D8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).10C2288,57
(C9×C4⋊C4).11C2 = C9×C42.C2φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).11C2288,175
(C9×C4⋊C4).12C2 = C9×C4⋊Q8φ: C2/C1C2 ⊆ Out C9×C4⋊C4288(C9xC4:C4).12C2288,178
(C9×C4⋊C4).13C2 = Q8×C36φ: trivial image288(C9xC4:C4).13C2288,169

׿
×
𝔽