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Extensions 1→N→G→Q→1 with N=C3×C7⋊C8 and Q=C2

Direct product G=N×Q with N=C3×C7⋊C8 and Q=C2
dρLabelID
C6×C7⋊C8336C6xC7:C8336,63

Semidirect products G=N:Q with N=C3×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C7⋊C8)⋊1C2 = C7⋊D24φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684+(C3xC7:C8):1C2336,31
(C3×C7⋊C8)⋊2C2 = D12.D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684-(C3xC7:C8):2C2336,36
(C3×C7⋊C8)⋊3C2 = Dic6⋊D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684+(C3xC7:C8):3C2336,37
(C3×C7⋊C8)⋊4C2 = S3×C7⋊C8φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):4C2336,24
(C3×C7⋊C8)⋊5C2 = D21⋊C8φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):5C2336,25
(C3×C7⋊C8)⋊6C2 = D6.Dic7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):6C2336,27
(C3×C7⋊C8)⋊7C2 = D42.C4φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):7C2336,28
(C3×C7⋊C8)⋊8C2 = C3×D4⋊D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):8C2336,69
(C3×C7⋊C8)⋊9C2 = C3×D4.D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):9C2336,70
(C3×C7⋊C8)⋊10C2 = C3×Q8⋊D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81684(C3xC7:C8):10C2336,71
(C3×C7⋊C8)⋊11C2 = C3×C8⋊D7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81682(C3xC7:C8):11C2336,59
(C3×C7⋊C8)⋊12C2 = C3×C4.Dic7φ: C2/C1 → C2 ⊆ Out C3×C7⋊C81682(C3xC7:C8):12C2336,64
(C3×C7⋊C8)⋊13C2 = D7×C24φ: trivial image1682(C3xC7:C8):13C2336,58

Non-split extensions G=N.Q with N=C3×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C7⋊C8).1C2 = C7⋊Dic12φ: C2/C1 → C2 ⊆ Out C3×C7⋊C83364-(C3xC7:C8).1C2336,40
(C3×C7⋊C8).2C2 = C3×C7⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C7⋊C83364(C3xC7:C8).2C2336,72

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