# Extensions 1→N→G→Q→1 with N=C2×D12 and Q=C10

Direct product G=N×Q with N=C2×D12 and Q=C10
dρLabelID
C2×C10×D12240C2xC10xD12480,1152

Semidirect products G=N:Q with N=C2×D12 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×D12)⋊1C10 = C5×C4⋊D12φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):1C10480,753
(C2×D12)⋊2C10 = C5×D6⋊D4φ: C10/C5C2 ⊆ Out C2×D12120(C2xD12):2C10480,761
(C2×D12)⋊3C10 = C5×Dic3⋊D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):3C10480,763
(C2×D12)⋊4C10 = C5×C12⋊D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):4C10480,774
(C2×D12)⋊5C10 = C10×D24φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):5C10480,782
(C2×D12)⋊6C10 = C5×C127D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):6C10480,809
(C2×D12)⋊7C10 = C5×C8⋊D6φ: C10/C5C2 ⊆ Out C2×D121204(C2xD12):7C10480,787
(C2×D12)⋊8C10 = C10×D4⋊S3φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):8C10480,810
(C2×D12)⋊9C10 = C5×C123D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):9C10480,819
(C2×D12)⋊10C10 = C5×D4⋊D6φ: C10/C5C2 ⊆ Out C2×D121204(C2xD12):10C10480,828
(C2×D12)⋊11C10 = S3×D4×C10φ: C10/C5C2 ⊆ Out C2×D12120(C2xD12):11C10480,1154
(C2×D12)⋊12C10 = C10×Q83S3φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12):12C10480,1158
(C2×D12)⋊13C10 = C5×D4○D12φ: C10/C5C2 ⊆ Out C2×D121204(C2xD12):13C10480,1161
(C2×D12)⋊14C10 = C10×C4○D12φ: trivial image240(C2xD12):14C10480,1153

Non-split extensions G=N.Q with N=C2×D12 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×D12).1C10 = C5×C2.D24φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).1C10480,140
(C2×D12).2C10 = C5×C427S3φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).2C10480,754
(C2×D12).3C10 = C5×D6.D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).3C10480,773
(C2×D12).4C10 = C10×C24⋊C2φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).4C10480,781
(C2×D12).5C10 = C5×C6.D8φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).5C10480,128
(C2×D12).6C10 = C5×C12.46D4φ: C10/C5C2 ⊆ Out C2×D121204(C2xD12).6C10480,142
(C2×D12).7C10 = C5×Dic35D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).7C10480,772
(C2×D12).8C10 = C10×Q82S3φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).8C10480,820
(C2×D12).9C10 = C5×C12.23D4φ: C10/C5C2 ⊆ Out C2×D12240(C2xD12).9C10480,826
(C2×D12).10C10 = C20×D12φ: trivial image240(C2xD12).10C10480,752

׿
×
𝔽