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Extensions 1→N→G→Q→1 with N=C22×C20 and Q=C6

Direct product G=N×Q with N=C22×C20 and Q=C6
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C20 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C20)⋊1C6 = A4×D20φ: C6/C1 → C6 ⊆ Aut C22×C20606+(C2^2xC20):1C6480,1037
(C22×C20)⋊2C6 = C4×D5×A4φ: C6/C1 → C6 ⊆ Aut C22×C20606(C2^2xC20):2C6480,1036
(C22×C20)⋊3C6 = C5×D4×A4φ: C6/C1 → C6 ⊆ Aut C22×C20606(C2^2xC20):3C6480,1127
(C22×C20)⋊4C6 = A4×C2×C20φ: C6/C2 → C3 ⊆ Aut C22×C20120(C2^2xC20):4C6480,1126
(C22×C20)⋊5C6 = C6×D10⋊C4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):5C6480,720
(C22×C20)⋊6C6 = C3×C23.23D10φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):6C6480,722
(C22×C20)⋊7C6 = C22⋊C4×C30φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):7C6480,920
(C22×C20)⋊8C6 = D4×C60φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):8C6480,923
(C22×C20)⋊9C6 = C15×C22.D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):9C6480,928
(C22×C20)⋊10C6 = C3×C20⋊7D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):10C6480,723
(C22×C20)⋊11C6 = C2×C6×D20φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):11C6480,1137
(C22×C20)⋊12C6 = C6×C4○D20φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):12C6480,1138
(C22×C20)⋊13C6 = C12×C5⋊D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):13C6480,721
(C22×C20)⋊14C6 = D5×C22×C12φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):14C6480,1136
(C22×C20)⋊15C6 = C15×C4⋊D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):15C6480,926
(C22×C20)⋊16C6 = D4×C2×C30φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):16C6480,1181
(C22×C20)⋊17C6 = C4○D4×C30φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20):17C6480,1183

Non-split extensions G=N.Q with N=C22×C20 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C20).1C6 = A4×Dic10φ: C6/C1 → C6 ⊆ Aut C22×C201206-(C2^2xC20).1C6480,1035
(C22×C20).2C6 = A4×C5⋊2C8φ: C6/C1 → C6 ⊆ Aut C22×C201206(C2^2xC20).2C6480,265
(C22×C20).3C6 = C5×Q8×A4φ: C6/C1 → C6 ⊆ Aut C22×C201206(C2^2xC20).3C6480,1129
(C22×C20).4C6 = A4×C40φ: C6/C2 → C3 ⊆ Aut C22×C201203(C2^2xC20).4C6480,659
(C22×C20).5C6 = C3×C10.10C42φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).5C6480,109
(C22×C20).6C6 = C15×C2.C42φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).6C6480,198
(C22×C20).7C6 = C15×C22⋊C8φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).7C6480,201
(C22×C20).8C6 = C6×C10.D4φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).8C6480,716
(C22×C20).9C6 = C4⋊C4×C30φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).9C6480,921
(C22×C20).10C6 = C3×C20.48D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).10C6480,717
(C22×C20).11C6 = C6×C4⋊Dic5φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).11C6480,718
(C22×C20).12C6 = C2×C6×Dic10φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).12C6480,1135
(C22×C20).13C6 = C6×C4.Dic5φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).13C6480,714
(C22×C20).14C6 = C3×C23.21D10φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).14C6480,719
(C22×C20).15C6 = C3×C20.55D4φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).15C6480,108
(C22×C20).16C6 = C2×C6×C5⋊2C8φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).16C6480,713
(C22×C20).17C6 = Dic5×C2×C12φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).17C6480,715
(C22×C20).18C6 = C15×C42⋊C2φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).18C6480,922
(C22×C20).19C6 = C15×C22⋊Q8φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).19C6480,927
(C22×C20).20C6 = M4(2)×C30φ: C6/C3 → C2 ⊆ Aut C22×C20240(C2^2xC20).20C6480,935
(C22×C20).21C6 = Q8×C2×C30φ: C6/C3 → C2 ⊆ Aut C22×C20480(C2^2xC20).21C6480,1182

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