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

Direct product G=N×Q with N=C3×C3⋊C8 and Q=C2
dρLabelID
C6×C3⋊C848C6xC3:C8144,74

Semidirect products G=N:Q with N=C3×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8)⋊1C2 = C3⋊D24φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244+(C3xC3:C8):1C2144,57
(C3×C3⋊C8)⋊2C2 = D12.S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484-(C3xC3:C8):2C2144,59
(C3×C3⋊C8)⋊3C2 = C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244+(C3xC3:C8):3C2144,60
(C3×C3⋊C8)⋊4C2 = C3×D4⋊S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244(C3xC3:C8):4C2144,80
(C3×C3⋊C8)⋊5C2 = S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):5C2144,52
(C3×C3⋊C8)⋊6C2 = C12.29D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244(C3xC3:C8):6C2144,53
(C3×C3⋊C8)⋊7C2 = D6.Dic3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):7C2144,54
(C3×C3⋊C8)⋊8C2 = C12.31D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244(C3xC3:C8):8C2144,55
(C3×C3⋊C8)⋊9C2 = C3×D4.S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8244(C3xC3:C8):9C2144,81
(C3×C3⋊C8)⋊10C2 = C3×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):10C2144,82
(C3×C3⋊C8)⋊11C2 = C3×C8⋊S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8482(C3xC3:C8):11C2144,70
(C3×C3⋊C8)⋊12C2 = C3×C4.Dic3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8242(C3xC3:C8):12C2144,75
(C3×C3⋊C8)⋊13C2 = S3×C24φ: trivial image482(C3xC3:C8):13C2144,69

Non-split extensions G=N.Q with N=C3×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8).1C2 = C32⋊3Q16φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484-(C3xC3:C8).1C2144,62
(C3×C3⋊C8).2C2 = C3×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).2C2144,83

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