# Extensions 1→N→G→Q→1 with N=C6.D4 and Q=C6

Direct product G=N×Q with N=C6.D4 and Q=C6
dρLabelID
C6×C6.D448C6xC6.D4288,723

Semidirect products G=N:Q with N=C6.D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C6.D41C6 = C3×C23.6D6φ: C6/C3C2 ⊆ Out C6.D4244C6.D4:1C6288,240
C6.D42C6 = C3×C23.7D6φ: C6/C3C2 ⊆ Out C6.D4244C6.D4:2C6288,268
C6.D43C6 = C3×S3×C22⋊C4φ: C6/C3C2 ⊆ Out C6.D448C6.D4:3C6288,651
C6.D44C6 = C3×C23.9D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:4C6288,654
C6.D45C6 = C3×C23.11D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:5C6288,656
C6.D46C6 = C3×C23.28D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:6C6288,700
C6.D47C6 = C3×D4×Dic3φ: C6/C3C2 ⊆ Out C6.D448C6.D4:7C6288,705
C6.D48C6 = C3×C23.23D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:8C6288,706
C6.D49C6 = C3×C23.12D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:9C6288,707
C6.D410C6 = C3×C232D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:10C6288,708
C6.D411C6 = C3×D63D4φ: C6/C3C2 ⊆ Out C6.D448C6.D4:11C6288,709
C6.D412C6 = C3×C23.14D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4:12C6288,710
C6.D413C6 = C3×C244S3φ: C6/C3C2 ⊆ Out C6.D424C6.D4:13C6288,724
C6.D414C6 = C12×C3⋊D4φ: trivial image48C6.D4:14C6288,699

Non-split extensions G=N.Q with N=C6.D4 and Q=C6
extensionφ:Q→Out NdρLabelID
C6.D4.1C6 = C3×C23.16D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4.1C6288,648
C6.D4.2C6 = C3×Dic3.D4φ: C6/C3C2 ⊆ Out C6.D448C6.D4.2C6288,649
C6.D4.3C6 = C3×C23.8D6φ: C6/C3C2 ⊆ Out C6.D448C6.D4.3C6288,650
C6.D4.4C6 = C3×C12.48D4φ: C6/C3C2 ⊆ Out C6.D448C6.D4.4C6288,695
C6.D4.5C6 = C3×C23.26D6φ: trivial image48C6.D4.5C6288,697

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