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Extensions 1→N→G→Q→1 with N=C22×C12 and Q=C10

Direct product G=N×Q with N=C22×C12 and Q=C10
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C22×C12)⋊1C10 = C10×D6⋊C4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):1C10480,806
(C22×C12)⋊2C10 = C5×C23.28D6φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):2C10480,808
(C22×C12)⋊3C10 = C22⋊C4×C30φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):3C10480,920
(C22×C12)⋊4C10 = D4×C60φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):4C10480,923
(C22×C12)⋊5C10 = C15×C22.D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):5C10480,928
(C22×C12)⋊6C10 = C5×C12⋊7D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):6C10480,809
(C22×C12)⋊7C10 = C2×C10×D12φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):7C10480,1152
(C22×C12)⋊8C10 = C10×C4○D12φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):8C10480,1153
(C22×C12)⋊9C10 = C20×C3⋊D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):9C10480,807
(C22×C12)⋊10C10 = S3×C22×C20φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):10C10480,1151
(C22×C12)⋊11C10 = C15×C4⋊D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):11C10480,926
(C22×C12)⋊12C10 = D4×C2×C30φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):12C10480,1181
(C22×C12)⋊13C10 = C4○D4×C30φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12):13C10480,1183

Non-split extensions G=N.Q with N=C22×C12 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C22×C12).1C10 = C5×C6.C42φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).1C10480,150
(C22×C12).2C10 = C15×C2.C42φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).2C10480,198
(C22×C12).3C10 = C15×C22⋊C8φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).3C10480,201
(C22×C12).4C10 = C10×Dic3⋊C4φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).4C10480,802
(C22×C12).5C10 = C4⋊C4×C30φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).5C10480,921
(C22×C12).6C10 = C5×C12.48D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).6C10480,803
(C22×C12).7C10 = C10×C4⋊Dic3φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).7C10480,804
(C22×C12).8C10 = C2×C10×Dic6φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).8C10480,1150
(C22×C12).9C10 = C10×C4.Dic3φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).9C10480,800
(C22×C12).10C10 = C5×C23.26D6φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).10C10480,805
(C22×C12).11C10 = C5×C12.55D4φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).11C10480,149
(C22×C12).12C10 = C2×C10×C3⋊C8φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).12C10480,799
(C22×C12).13C10 = Dic3×C2×C20φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).13C10480,801
(C22×C12).14C10 = C15×C42⋊C2φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).14C10480,922
(C22×C12).15C10 = C15×C22⋊Q8φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).15C10480,927
(C22×C12).16C10 = M4(2)×C30φ: C10/C5 → C2 ⊆ Aut C22×C12240(C2^2xC12).16C10480,935
(C22×C12).17C10 = Q8×C2×C30φ: C10/C5 → C2 ⊆ Aut C22×C12480(C2^2xC12).17C10480,1182

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