# Extensions 1→N→G→Q→1 with N=C3×C23⋊C4 and Q=C2

Direct product G=N×Q with N=C3×C23⋊C4 and Q=C2
dρLabelID
C6×C23⋊C448C6xC2^3:C4192,842

Semidirect products G=N:Q with N=C3×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C23⋊C4)⋊1C2 = C3⋊C2≀C4φ: C2/C1C2 ⊆ Out C3×C23⋊C4248+(C3xC2^3:C4):1C2192,30
(C3×C23⋊C4)⋊2C2 = C23.2D12φ: C2/C1C2 ⊆ Out C3×C23⋊C4248+(C3xC2^3:C4):2C2192,33
(C3×C23⋊C4)⋊3C2 = C23⋊C45S3φ: C2/C1C2 ⊆ Out C3×C23⋊C4488-(C3xC2^3:C4):3C2192,299
(C3×C23⋊C4)⋊4C2 = C23⋊D12φ: C2/C1C2 ⊆ Out C3×C23⋊C4248+(C3xC2^3:C4):4C2192,300
(C3×C23⋊C4)⋊5C2 = C23.5D12φ: C2/C1C2 ⊆ Out C3×C23⋊C4488-(C3xC2^3:C4):5C2192,301
(C3×C23⋊C4)⋊6C2 = S3×C23⋊C4φ: C2/C1C2 ⊆ Out C3×C23⋊C4248+(C3xC2^3:C4):6C2192,302
(C3×C23⋊C4)⋊7C2 = C3×C2≀C4φ: C2/C1C2 ⊆ Out C3×C23⋊C4244(C3xC2^3:C4):7C2192,157
(C3×C23⋊C4)⋊8C2 = C3×C42⋊C4φ: C2/C1C2 ⊆ Out C3×C23⋊C4244(C3xC2^3:C4):8C2192,159
(C3×C23⋊C4)⋊9C2 = C3×C2≀C22φ: C2/C1C2 ⊆ Out C3×C23⋊C4244(C3xC2^3:C4):9C2192,890
(C3×C23⋊C4)⋊10C2 = C3×C23.7D4φ: C2/C1C2 ⊆ Out C3×C23⋊C4484(C3xC2^3:C4):10C2192,891
(C3×C23⋊C4)⋊11C2 = C3×C23.C23φ: trivial image484(C3xC2^3:C4):11C2192,843

Non-split extensions G=N.Q with N=C3×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C23⋊C4).1C2 = (C2×D4).D6φ: C2/C1C2 ⊆ Out C3×C23⋊C4488-(C3xC2^3:C4).1C2192,31
(C3×C23⋊C4).2C2 = C23.D12φ: C2/C1C2 ⊆ Out C3×C23⋊C4488-(C3xC2^3:C4).2C2192,32
(C3×C23⋊C4).3C2 = C3×C23.D4φ: C2/C1C2 ⊆ Out C3×C23⋊C4484(C3xC2^3:C4).3C2192,158
(C3×C23⋊C4).4C2 = C3×C423C4φ: C2/C1C2 ⊆ Out C3×C23⋊C4484(C3xC2^3:C4).4C2192,160

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