# Extensions 1→N→G→Q→1 with N=D4×C9 and Q=C22

Direct product G=N×Q with N=D4×C9 and Q=C22
dρLabelID
D4×C2×C18144D4xC2xC18288,368

Semidirect products G=N:Q with N=D4×C9 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C9)⋊1C22 = D8×D9φ: C22/C1C22 ⊆ Out D4×C9724+(D4xC9):1C2^2288,120
(D4×C9)⋊2C22 = D8⋊D9φ: C22/C1C22 ⊆ Out D4×C9724(D4xC9):2C2^2288,121
(D4×C9)⋊3C22 = C2×D4⋊D9φ: C22/C2C2 ⊆ Out D4×C9144(D4xC9):3C2^2288,142
(D4×C9)⋊4C22 = D4⋊D18φ: C22/C2C2 ⊆ Out D4×C9724+(D4xC9):4C2^2288,160
(D4×C9)⋊5C22 = C2×D4×D9φ: C22/C2C2 ⊆ Out D4×C972(D4xC9):5C2^2288,356
(D4×C9)⋊6C22 = C2×D42D9φ: C22/C2C2 ⊆ Out D4×C9144(D4xC9):6C2^2288,357
(D4×C9)⋊7C22 = D46D18φ: C22/C2C2 ⊆ Out D4×C9724(D4xC9):7C2^2288,358
(D4×C9)⋊8C22 = C4○D4×D9φ: C22/C2C2 ⊆ Out D4×C9724(D4xC9):8C2^2288,362
(D4×C9)⋊9C22 = D48D18φ: C22/C2C2 ⊆ Out D4×C9724+(D4xC9):9C2^2288,363
(D4×C9)⋊10C22 = D8×C18φ: C22/C2C2 ⊆ Out D4×C9144(D4xC9):10C2^2288,182
(D4×C9)⋊11C22 = C9×C8⋊C22φ: C22/C2C2 ⊆ Out D4×C9724(D4xC9):11C2^2288,186
(D4×C9)⋊12C22 = C4○D4×C18φ: trivial image144(D4xC9):12C2^2288,370
(D4×C9)⋊13C22 = C9×2+ 1+4φ: trivial image724(D4xC9):13C2^2288,371

Non-split extensions G=N.Q with N=D4×C9 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×C9).1C22 = D83D9φ: C22/C1C22 ⊆ Out D4×C91444-(D4xC9).1C2^2288,122
(D4×C9).2C22 = SD16×D9φ: C22/C1C22 ⊆ Out D4×C9724(D4xC9).2C2^2288,123
(D4×C9).3C22 = D72⋊C2φ: C22/C1C22 ⊆ Out D4×C9724+(D4xC9).3C2^2288,124
(D4×C9).4C22 = SD16⋊D9φ: C22/C1C22 ⊆ Out D4×C91444-(D4xC9).4C2^2288,125
(D4×C9).5C22 = SD163D9φ: C22/C1C22 ⊆ Out D4×C91444(D4xC9).5C2^2288,126
(D4×C9).6C22 = C2×D4.D9φ: C22/C2C2 ⊆ Out D4×C9144(D4xC9).6C2^2288,141
(D4×C9).7C22 = D366C22φ: C22/C2C2 ⊆ Out D4×C9724(D4xC9).7C2^2288,143
(D4×C9).8C22 = D4.D18φ: C22/C2C2 ⊆ Out D4×C91444-(D4xC9).8C2^2288,159
(D4×C9).9C22 = D4.9D18φ: C22/C2C2 ⊆ Out D4×C91444(D4xC9).9C2^2288,161
(D4×C9).10C22 = D4.10D18φ: C22/C2C2 ⊆ Out D4×C91444-(D4xC9).10C2^2288,364
(D4×C9).11C22 = SD16×C18φ: C22/C2C2 ⊆ Out D4×C9144(D4xC9).11C2^2288,183
(D4×C9).12C22 = C9×C4○D8φ: C22/C2C2 ⊆ Out D4×C91442(D4xC9).12C2^2288,185
(D4×C9).13C22 = C9×C8.C22φ: C22/C2C2 ⊆ Out D4×C91444(D4xC9).13C2^2288,187
(D4×C9).14C22 = C9×2- 1+4φ: trivial image1444(D4xC9).14C2^2288,372

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