# Extensions 1→N→G→Q→1 with N=C32⋊C12 and Q=C22

Direct product G=N×Q with N=C32⋊C12 and Q=C22
dρLabelID
C22×C32⋊C12144C2^2xC3^2:C12432,376

Semidirect products G=N:Q with N=C32⋊C12 and Q=C22
extensionφ:Q→Out NdρLabelID
C32⋊C121C22 = C62⋊D6φ: C22/C1C22 ⊆ Out C32⋊C123612+C3^2:C12:1C2^2432,323
C32⋊C122C22 = C622D6φ: C22/C1C22 ⊆ Out C32⋊C12366C3^2:C12:2C2^2432,324
C32⋊C123C22 = C3⋊S3⋊D12φ: C22/C2C2 ⊆ Out C32⋊C123612+C3^2:C12:3C2^2432,301
C32⋊C124C22 = C2×He33D4φ: C22/C2C2 ⊆ Out C32⋊C1272C3^2:C12:4C2^2432,322
C32⋊C125C22 = C4×C32⋊D6φ: C22/C2C2 ⊆ Out C32⋊C12366C3^2:C12:5C2^2432,300
C32⋊C126C22 = C2×C6.S32φ: C22/C2C2 ⊆ Out C32⋊C1272C3^2:C12:6C2^2432,317
C32⋊C127C22 = C2×He3⋊(C2×C4)φ: C22/C2C2 ⊆ Out C32⋊C1272C3^2:C12:7C2^2432,321
C32⋊C128C22 = D4×C32⋊C6φ: C22/C2C2 ⊆ Out C32⋊C123612+C3^2:C12:8C2^2432,360
C32⋊C129C22 = C2×He36D4φ: C22/C2C2 ⊆ Out C32⋊C1272C3^2:C12:9C2^2432,377
C32⋊C1210C22 = C2×C4×C32⋊C6φ: trivial image72C3^2:C12:10C2^2432,349

Non-split extensions G=N.Q with N=C32⋊C12 and Q=C22
extensionφ:Q→Out NdρLabelID
C32⋊C12.1C22 = C12.84S32φ: C22/C1C22 ⊆ Out C32⋊C12726C3^2:C12.1C2^2432,296
C32⋊C12.2C22 = C12.85S32φ: C22/C1C22 ⊆ Out C32⋊C12726-C3^2:C12.2C2^2432,298
C32⋊C12.3C22 = C12.S32φ: C22/C1C22 ⊆ Out C32⋊C127212-C3^2:C12.3C2^2432,299
C32⋊C12.4C22 = C62.9D6φ: C22/C1C22 ⊆ Out C32⋊C12726C3^2:C12.4C2^2432,319
C32⋊C12.5C22 = C3⋊S3⋊Dic6φ: C22/C2C2 ⊆ Out C32⋊C127212-C3^2:C12.5C2^2432,294
C32⋊C12.6C22 = C12.91S32φ: C22/C2C2 ⊆ Out C32⋊C12726C3^2:C12.6C2^2432,297
C32⋊C12.7C22 = C2×He32Q8φ: C22/C2C2 ⊆ Out C32⋊C12144C3^2:C12.7C2^2432,316
C32⋊C12.8C22 = C62.8D6φ: C22/C2C2 ⊆ Out C32⋊C127212-C3^2:C12.8C2^2432,318
C32⋊C12.9C22 = C12⋊S3⋊S3φ: C22/C2C2 ⊆ Out C32⋊C127212+C3^2:C12.9C2^2432,295
C32⋊C12.10C22 = C2×He33Q8φ: C22/C2C2 ⊆ Out C32⋊C12144C3^2:C12.10C2^2432,348
C32⋊C12.11C22 = C62.36D6φ: C22/C2C2 ⊆ Out C32⋊C12726C3^2:C12.11C2^2432,351
C32⋊C12.12C22 = C62.13D6φ: C22/C2C2 ⊆ Out C32⋊C127212-C3^2:C12.12C2^2432,361
C32⋊C12.13C22 = Q8×C32⋊C6φ: C22/C2C2 ⊆ Out C32⋊C127212-C3^2:C12.13C2^2432,368
C32⋊C12.14C22 = (Q8×He3)⋊C2φ: trivial image7212+C3^2:C12.14C2^2432,369

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