Extensions 1→N→G→Q→1 with N=D6⋊S3 and Q=C22

Direct product G=N×Q with N=D6⋊S3 and Q=C22
dρLabelID
C22×D6⋊S396C2^2xD6:S3288,973

Semidirect products G=N:Q with N=D6⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
D6⋊S31C22 = C3⋊S3⋊D8φ: C22/C1C22 ⊆ Out D6⋊S3248+D6:S3:1C2^2288,873
D6⋊S32C22 = C62.12D4φ: C22/C1C22 ⊆ Out D6⋊S3244D6:S3:2C2^2288,884
D6⋊S33C22 = D1224D6φ: C22/C1C22 ⊆ Out D6⋊S3484D6:S3:3C2^2288,955
D6⋊S34C22 = S32×D4φ: C22/C1C22 ⊆ Out D6⋊S3248+D6:S3:4C2^2288,958
D6⋊S35C22 = S3×D42S3φ: C22/C1C22 ⊆ Out D6⋊S3488-D6:S3:5C2^2288,959
D6⋊S36C22 = D1215D6φ: C22/C1C22 ⊆ Out D6⋊S3488-D6:S3:6C2^2288,967
D6⋊S37C22 = C32⋊2+ 1+4φ: C22/C1C22 ⊆ Out D6⋊S3244D6:S3:7C2^2288,978
D6⋊S38C22 = C32⋊D8⋊C2φ: C22/C2C2 ⊆ Out D6⋊S3244D6:S3:8C2^2288,872
D6⋊S39C22 = C2×C32⋊D8φ: C22/C2C2 ⊆ Out D6⋊S348D6:S3:9C2^2288,883
D6⋊S310C22 = C2×D125S3φ: C22/C2C2 ⊆ Out D6⋊S396D6:S3:10C2^2288,943
D6⋊S311C22 = C2×D6⋊D6φ: C22/C2C2 ⊆ Out D6⋊S348D6:S3:11C2^2288,952
D6⋊S312C22 = S3×C4○D12φ: C22/C2C2 ⊆ Out D6⋊S3484D6:S3:12C2^2288,953
D6⋊S313C22 = D1223D6φ: C22/C2C2 ⊆ Out D6⋊S3244D6:S3:13C2^2288,954
D6⋊S314C22 = D1212D6φ: C22/C2C2 ⊆ Out D6⋊S3488-D6:S3:14C2^2288,961
D6⋊S315C22 = D1213D6φ: C22/C2C2 ⊆ Out D6⋊S3248+D6:S3:15C2^2288,962
D6⋊S316C22 = D1216D6φ: C22/C2C2 ⊆ Out D6⋊S3488+D6:S3:16C2^2288,968
D6⋊S317C22 = C2×D6.4D6φ: C22/C2C2 ⊆ Out D6⋊S348D6:S3:17C2^2288,971
D6⋊S318C22 = C2×S3×C3⋊D4φ: C22/C2C2 ⊆ Out D6⋊S348D6:S3:18C2^2288,976
D6⋊S319C22 = C2×D6.D6φ: trivial image48D6:S3:19C2^2288,948

Non-split extensions G=N.Q with N=D6⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
D6⋊S3.1C22 = C3⋊S32SD16φ: C22/C1C22 ⊆ Out D6⋊S3248+D6:S3.1C2^2288,875
D6⋊S3.2C22 = C62.13D4φ: C22/C1C22 ⊆ Out D6⋊S3488-D6:S3.2C2^2288,885
D6⋊S3.3C22 = C62.15D4φ: C22/C1C22 ⊆ Out D6⋊S3484-D6:S3.3C2^2288,887
D6⋊S3.4C22 = D12.34D6φ: C22/C1C22 ⊆ Out D6⋊S3484-D6:S3.4C2^2288,946
D6⋊S3.5C22 = C32⋊D85C2φ: C22/C2C2 ⊆ Out D6⋊S3484D6:S3.5C2^2288,871
D6⋊S3.6C22 = C32⋊Q16⋊C2φ: C22/C2C2 ⊆ Out D6⋊S3484D6:S3.6C2^2288,874
D6⋊S3.7C22 = C2×C322SD16φ: C22/C2C2 ⊆ Out D6⋊S348D6:S3.7C2^2288,886
D6⋊S3.8C22 = Dic6.24D6φ: C22/C2C2 ⊆ Out D6⋊S3488-D6:S3.8C2^2288,957
D6⋊S3.9C22 = D12.25D6φ: C22/C2C2 ⊆ Out D6⋊S3488-D6:S3.9C2^2288,963
D6⋊S3.10C22 = Dic6.26D6φ: trivial image488+D6:S3.10C2^2288,964

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