# Extensions 1→N→G→Q→1 with N=He3⋊3C4 and Q=C22

Direct product G=N×Q with N=He33C4 and Q=C22
dρLabelID
C22×He33C4144C2^2xHe3:3C4432,398

Semidirect products G=N:Q with N=He33C4 and Q=C22
extensionφ:Q→Out NdρLabelID
He33C4⋊C22 = C62⋊D6φ: C22/C1C22 ⊆ Out He33C43612+He3:3C4:C2^2432,323
He33C42C22 = C12.86S32φ: C22/C2C2 ⊆ Out He33C4366+He3:3C4:2C2^2432,302
He33C43C22 = C2×He32D4φ: C22/C2C2 ⊆ Out He33C472He3:3C4:3C2^2432,320
He33C44C22 = C4×C32⋊D6φ: C22/C2C2 ⊆ Out He33C4366He3:3C4:4C2^2432,300
He33C45C22 = C2×C6.S32φ: C22/C2C2 ⊆ Out He33C472He3:3C4:5C2^2432,317
He33C46C22 = D4×He3⋊C2φ: C22/C2C2 ⊆ Out He33C4366He3:3C4:6C2^2432,390
He33C47C22 = C2×He37D4φ: C22/C2C2 ⊆ Out He33C472He3:3C4:7C2^2432,399
He33C48C22 = C2×C4×He3⋊C2φ: trivial image72He3:3C4:8C2^2432,385

Non-split extensions G=N.Q with N=He33C4 and Q=C22
extensionφ:Q→Out NdρLabelID
He33C4.1C22 = He32SD16φ: C22/C1C22 ⊆ Out He33C4726He3:3C4.1C2^2432,234
He33C4.2C22 = He3⋊D8φ: C22/C1C22 ⊆ Out He33C4726+He3:3C4.2C2^2432,235
He33C4.3C22 = He3⋊Q16φ: C22/C1C22 ⊆ Out He33C41446-He3:3C4.3C2^2432,236
He33C4.4C22 = C3⋊S3⋊Dic6φ: C22/C1C22 ⊆ Out He33C47212-He3:3C4.4C2^2432,294
He33C4.5C22 = C12⋊S3⋊S3φ: C22/C1C22 ⊆ Out He33C47212+He3:3C4.5C2^2432,295
He33C4.6C22 = C62.8D6φ: C22/C1C22 ⊆ Out He33C47212-He3:3C4.6C2^2432,318
He33C4.7C22 = He32(C2×C8)φ: C22/C2C2 ⊆ Out He33C4723He3:3C4.7C2^2432,273
He33C4.8C22 = He31M4(2)φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.8C2^2432,274
He33C4.9C22 = C2×He32C8φ: C22/C2C2 ⊆ Out He33C4144He3:3C4.9C2^2432,277
He33C4.10C22 = He34M4(2)φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.10C2^2432,278
He33C4.11C22 = C12.91S32φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.11C2^2432,297
He33C4.12C22 = C12.85S32φ: C22/C2C2 ⊆ Out He33C4726-He3:3C4.12C2^2432,298
He33C4.13C22 = C2×He32Q8φ: C22/C2C2 ⊆ Out He33C4144He3:3C4.13C2^2432,316
He33C4.14C22 = C12.84S32φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.14C2^2432,296
He33C4.15C22 = C62.9D6φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.15C2^2432,319
He33C4.16C22 = C2×He34Q8φ: C22/C2C2 ⊆ Out He33C4144He3:3C4.16C2^2432,384
He33C4.17C22 = C62.47D6φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.17C2^2432,387
He33C4.18C22 = Q8×He3⋊C2φ: C22/C2C2 ⊆ Out He33C4726He3:3C4.18C2^2432,394
He33C4.19C22 = C62.16D6φ: trivial image726He3:3C4.19C2^2432,391
He33C4.20C22 = He35D4⋊C2φ: trivial image726He3:3C4.20C2^2432,395

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