Extensions 1→N→G→Q→1 with N=D6⋊D6 and Q=C2

Direct product G=N×Q with N=D6⋊D6 and Q=C2
dρLabelID
C2×D6⋊D648C2xD6:D6288,952

Semidirect products G=N:Q with N=D6⋊D6 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊D61C2 = C244D6φ: C2/C1C2 ⊆ Out D6⋊D6484D6:D6:1C2288,445
D6⋊D62C2 = C246D6φ: C2/C1C2 ⊆ Out D6⋊D6484D6:D6:2C2288,446
D6⋊D63C2 = D12⋊D6φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6:3C2288,574
D6⋊D64C2 = D12.D6φ: C2/C1C2 ⊆ Out D6⋊D6488-D6:D6:4C2288,575
D6⋊D65C2 = D12.10D6φ: C2/C1C2 ⊆ Out D6⋊D6488+D6:D6:5C2288,589
D6⋊D66C2 = C32⋊D8⋊C2φ: C2/C1C2 ⊆ Out D6⋊D6244D6:D6:6C2288,872
D6⋊D67C2 = C3⋊S3⋊D8φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6:7C2288,873
D6⋊D68C2 = S32⋊D4φ: C2/C1C2 ⊆ Out D6⋊D6244D6:D6:8C2288,878
D6⋊D69C2 = C4⋊S3≀C2φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6:9C2288,879
D6⋊D610C2 = D1224D6φ: C2/C1C2 ⊆ Out D6⋊D6484D6:D6:10C2288,955
D6⋊D611C2 = S32×D4φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6:11C2288,958
D6⋊D612C2 = D1212D6φ: C2/C1C2 ⊆ Out D6⋊D6488-D6:D6:12C2288,961
D6⋊D613C2 = D1215D6φ: C2/C1C2 ⊆ Out D6⋊D6488-D6:D6:13C2288,967
D6⋊D614C2 = D1216D6φ: C2/C1C2 ⊆ Out D6⋊D6488+D6:D6:14C2288,968
D6⋊D615C2 = D1223D6φ: trivial image244D6:D6:15C2288,954

Non-split extensions G=N.Q with N=D6⋊D6 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊D6.1C2 = C4.S3≀C2φ: C2/C1C2 ⊆ Out D6⋊D6244D6:D6.1C2288,375
D6⋊D6.2C2 = C3⋊S3.2D8φ: C2/C1C2 ⊆ Out D6⋊D6244D6:D6.2C2288,377
D6⋊D6.3C2 = C249D6φ: C2/C1C2 ⊆ Out D6⋊D6484D6:D6.3C2288,444
D6⋊D6.4C2 = D12.9D6φ: C2/C1C2 ⊆ Out D6⋊D6488-D6:D6.4C2288,588
D6⋊D6.5C2 = C4.4S3≀C2φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6.5C2288,869
D6⋊D6.6C2 = C3⋊S32SD16φ: C2/C1C2 ⊆ Out D6⋊D6248+D6:D6.6C2288,875

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