Extensions 1→N→G→Q→1 with N=C3×M4(2) and Q=C10

Direct product G=N×Q with N=C3×M4(2) and Q=C10
dρLabelID
M4(2)×C30240M4(2)xC30480,935

Semidirect products G=N:Q with N=C3×M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×M4(2))⋊1C10 = C5×C8⋊D6φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):1C10480,787
(C3×M4(2))⋊2C10 = C5×C8.D6φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)):2C10480,788
(C3×M4(2))⋊3C10 = C15×C8⋊C22φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):3C10480,941
(C3×M4(2))⋊4C10 = C15×C8.C22φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)):4C10480,942
(C3×M4(2))⋊5C10 = C5×S3×M4(2)φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):5C10480,785
(C3×M4(2))⋊6C10 = C5×D12.C4φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)):6C10480,786
(C3×M4(2))⋊7C10 = C5×C12.46D4φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):7C10480,142
(C3×M4(2))⋊8C10 = C5×D12⋊C4φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):8C10480,144
(C3×M4(2))⋊9C10 = C15×C4.D4φ: C10/C5C2 ⊆ Out C3×M4(2)1204(C3xM4(2)):9C10480,203
(C3×M4(2))⋊10C10 = C15×C4≀C2φ: C10/C5C2 ⊆ Out C3×M4(2)1202(C3xM4(2)):10C10480,207
(C3×M4(2))⋊11C10 = C15×C8○D4φ: trivial image2402(C3xM4(2)):11C10480,936

Non-split extensions G=N.Q with N=C3×M4(2) and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×M4(2)).1C10 = C5×C12.53D4φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)).1C10480,141
(C3×M4(2)).2C10 = C5×C12.47D4φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)).2C10480,143
(C3×M4(2)).3C10 = C15×C4.10D4φ: C10/C5C2 ⊆ Out C3×M4(2)2404(C3xM4(2)).3C10480,204
(C3×M4(2)).4C10 = C15×C8.C4φ: C10/C5C2 ⊆ Out C3×M4(2)2402(C3xM4(2)).4C10480,211

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