Extensions 1→N→G→Q→1 with N=C12.26D6 and Q=C2

Direct product G=N×Q with N=C12.26D6 and Q=C2
dρLabelID
C2×C12.26D6144C2xC12.26D6288,1011

Semidirect products G=N:Q with N=C12.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.26D61C2 = D12.10D6φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6:1C2288,589
C12.26D62C2 = D12.14D6φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6:2C2288,598
C12.26D63C2 = C247D6φ: C2/C1C2 ⊆ Out C12.26D672C12.26D6:3C2288,771
C12.26D64C2 = C24.40D6φ: C2/C1C2 ⊆ Out C12.26D6144C12.26D6:4C2288,773
C12.26D65C2 = C24.28D6φ: C2/C1C2 ⊆ Out C12.26D6144C12.26D6:5C2288,776
C12.26D66C2 = Dic6.26D6φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6:6C2288,964
C12.26D67C2 = S3×Q83S3φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6:7C2288,966
C12.26D68C2 = D1216D6φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6:8C2288,968
C12.26D69C2 = C3272- 1+4φ: C2/C1C2 ⊆ Out C12.26D6144C12.26D6:9C2288,1012
C12.26D610C2 = C62.154C23φ: C2/C1C2 ⊆ Out C12.26D672C12.26D6:10C2288,1014
C12.26D611C2 = C4○D4×C3⋊S3φ: trivial image72C12.26D6:11C2288,1013

Non-split extensions G=N.Q with N=C12.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.26D6.1C2 = C327C4≀C2φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6.1C2288,433
C12.26D6.2C2 = Dic6.10D6φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6.2C2288,593
C12.26D6.3C2 = C24.35D6φ: C2/C1C2 ⊆ Out C12.26D6144C12.26D6.3C2288,775
C12.26D6.4C2 = C12⋊S3.C4φ: C2/C1C2 ⊆ Out C12.26D6488+C12.26D6.4C2288,937

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