Extensions 1→N→G→Q→1 with N=C3⋊Dic3 and Q=Q8

Direct product G=N×Q with N=C3⋊Dic3 and Q=Q8
dρLabelID
Q8×C3⋊Dic3288Q8xC3:Dic3288,802

Semidirect products G=N:Q with N=C3⋊Dic3 and Q=Q8
extensionφ:Q→Out NdρLabelID
C3⋊Dic31Q8 = C62.9C23φ: Q8/C2C22 ⊆ Out C3⋊Dic396C3:Dic3:1Q8288,487
C3⋊Dic32Q8 = C4×PSU3(𝔽2)φ: Q8/C2C22 ⊆ Out C3⋊Dic3368C3:Dic3:2Q8288,892
C3⋊Dic33Q8 = C4⋊PSU3(𝔽2)φ: Q8/C2C22 ⊆ Out C3⋊Dic3368C3:Dic3:3Q8288,893
C3⋊Dic34Q8 = C62.8C23φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3:4Q8288,486
C3⋊Dic35Q8 = C62.13C23φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3:5Q8288,491
C3⋊Dic36Q8 = C62.43C23φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3:6Q8288,521
C3⋊Dic37Q8 = C12⋊Dic6φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3:7Q8288,567
C3⋊Dic38Q8 = C122Dic6φ: Q8/C4C2 ⊆ Out C3⋊Dic3288C3:Dic3:8Q8288,745
C3⋊Dic39Q8 = C62.259C23φ: Q8/C4C2 ⊆ Out C3⋊Dic3288C3:Dic3:9Q8288,801
C3⋊Dic310Q8 = C62.231C23φ: trivial image288C3:Dic3:10Q8288,744

Non-split extensions G=N.Q with N=C3⋊Dic3 and Q=Q8
extensionφ:Q→Out NdρLabelID
C3⋊Dic3.1Q8 = C32⋊C4⋊C8φ: Q8/C2C22 ⊆ Out C3⋊Dic3484C3:Dic3.1Q8288,380
C3⋊Dic3.2Q8 = C62.6D4φ: Q8/C2C22 ⊆ Out C3⋊Dic396C3:Dic3.2Q8288,390
C3⋊Dic3.3Q8 = C62.7D4φ: Q8/C2C22 ⊆ Out C3⋊Dic396C3:Dic3.3Q8288,391
C3⋊Dic3.4Q8 = C62.17C23φ: Q8/C2C22 ⊆ Out C3⋊Dic396C3:Dic3.4Q8288,495
C3⋊Dic3.5Q8 = C4.3PSU3(𝔽2)φ: Q8/C2C22 ⊆ Out C3⋊Dic3488C3:Dic3.5Q8288,891
C3⋊Dic3.6Q8 = C8⋊(C32⋊C4)φ: Q8/C4C2 ⊆ Out C3⋊Dic3484C3:Dic3.6Q8288,416
C3⋊Dic3.7Q8 = C3⋊S3.4D8φ: Q8/C4C2 ⊆ Out C3⋊Dic3484C3:Dic3.7Q8288,417
C3⋊Dic3.8Q8 = (C3×C12)⋊4C8φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3.8Q8288,424
C3⋊Dic3.9Q8 = C325(C4⋊C8)φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3.9Q8288,427
C3⋊Dic3.10Q8 = C62.40C23φ: Q8/C4C2 ⊆ Out C3⋊Dic396C3:Dic3.10Q8288,518
C3⋊Dic3.11Q8 = C62.233C23φ: Q8/C4C2 ⊆ Out C3⋊Dic3288C3:Dic3.11Q8288,746

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