# Extensions 1→N→G→Q→1 with N=D18 and Q=C23

Direct product G=N×Q with N=D18 and Q=C23
dρLabelID
C24×D9144C2^4xD9288,839

Semidirect products G=N:Q with N=D18 and Q=C23
extensionφ:Q→Out NdρLabelID
D181C23 = C22×D36φ: C23/C22C2 ⊆ Out D18144D18:1C2^3288,354
D182C23 = C2×D4×D9φ: C23/C22C2 ⊆ Out D1872D18:2C2^3288,356
D183C23 = C22×C9⋊D4φ: C23/C22C2 ⊆ Out D18144D18:3C2^3288,366

Non-split extensions G=N.Q with N=D18 and Q=C23
extensionφ:Q→Out NdρLabelID
D18.1C23 = C2×D365C2φ: C23/C22C2 ⊆ Out D18144D18.1C2^3288,355
D18.2C23 = C2×D42D9φ: C23/C22C2 ⊆ Out D18144D18.2C2^3288,357
D18.3C23 = D46D18φ: C23/C22C2 ⊆ Out D18724D18.3C2^3288,358
D18.4C23 = C2×Q83D9φ: C23/C22C2 ⊆ Out D18144D18.4C2^3288,360
D18.5C23 = Q8.15D18φ: C23/C22C2 ⊆ Out D181444D18.5C2^3288,361
D18.6C23 = C4○D4×D9φ: C23/C22C2 ⊆ Out D18724D18.6C2^3288,362
D18.7C23 = D48D18φ: C23/C22C2 ⊆ Out D18724+D18.7C2^3288,363
D18.8C23 = D4.10D18φ: C23/C22C2 ⊆ Out D181444-D18.8C2^3288,364
D18.9C23 = C22×C4×D9φ: trivial image144D18.9C2^3288,353
D18.10C23 = C2×Q8×D9φ: trivial image144D18.10C2^3288,359

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