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Extensions 1→N→G→Q→1 with N=C3×C8⋊C22 and Q=C2

Direct product G=N×Q with N=C3×C8⋊C22 and Q=C2
dρLabelID
C6×C8⋊C2248C6xC8:C2^2192,1462

Semidirect products G=N:Q with N=C3×C8⋊C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C8⋊C22)⋊1C2 = S3×C8⋊C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22248+(C3xC8:C2^2):1C2192,1331
(C3×C8⋊C22)⋊2C2 = D8⋊4D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488-(C3xC8:C2^2):2C2192,1332
(C3×C8⋊C22)⋊3C2 = D8⋊5D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488+(C3xC8:C2^2):3C2192,1333
(C3×C8⋊C22)⋊4C2 = D8⋊6D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488-(C3xC8:C2^2):4C2192,1334
(C3×C8⋊C22)⋊5C2 = D12⋊18D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22248+(C3xC8:C2^2):5C2192,757
(C3×C8⋊C22)⋊6C2 = M4(2).D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488+(C3xC8:C2^2):6C2192,758
(C3×C8⋊C22)⋊7C2 = D12.38D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488-(C3xC8:C2^2):7C2192,760
(C3×C8⋊C22)⋊8C2 = C3×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22244(C3xC8:C2^2):8C2192,886
(C3×C8⋊C22)⋊9C2 = C3×D4.8D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22484(C3xC8:C2^2):9C2192,887
(C3×C8⋊C22)⋊10C2 = C3×D4.4D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22484(C3xC8:C2^2):10C2192,905
(C3×C8⋊C22)⋊11C2 = C3×D4○D8φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22484(C3xC8:C2^2):11C2192,1465
(C3×C8⋊C22)⋊12C2 = C3×D4○SD16φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22484(C3xC8:C2^2):12C2192,1466
(C3×C8⋊C22)⋊13C2 = C3×D8⋊C22φ: trivial image484(C3xC8:C2^2):13C2192,1464

Non-split extensions G=N.Q with N=C3×C8⋊C22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C8⋊C22).1C2 = M4(2).13D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22488-(C3xC8:C2^2).1C2192,759
(C3×C8⋊C22).2C2 = C3×D4.3D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C22484(C3xC8:C2^2).2C2192,904

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