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Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=C2×C6

Direct product G=N×Q with N=C2×Dic5 and Q=C2×C6
dρLabelID
Dic5×C22×C6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=C2×Dic5 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×Dic5)⋊1(C2×C6) = C3×C22⋊D20φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5120(C2xDic5):1(C2xC6)480,675
(C2×Dic5)⋊2(C2×C6) = C3×C23⋊D10φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5120(C2xDic5):2(C2xC6)480,730
(C2×Dic5)⋊3(C2×C6) = C3×C24⋊2D5φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5120(C2xDic5):3(C2xC6)480,746
(C2×Dic5)⋊4(C2×C6) = C3×D4⋊6D10φ: C2×C6/C3 → C22 ⊆ Out C2×Dic51204(C2xDic5):4(C2xC6)480,1141
(C2×Dic5)⋊5(C2×C6) = C3×D5×C22⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):5(C2xC6)480,673
(C2×Dic5)⋊6(C2×C6) = C6×D10⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):6(C2xC6)480,720
(C2×Dic5)⋊7(C2×C6) = C6×C23.D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):7(C2xC6)480,745
(C2×Dic5)⋊8(C2×C6) = C6×D4×D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):8(C2xC6)480,1139
(C2×Dic5)⋊9(C2×C6) = C6×D4⋊2D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):9(C2xC6)480,1140
(C2×Dic5)⋊10(C2×C6) = C3×D5×C4○D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5):10(C2xC6)480,1145
(C2×Dic5)⋊11(C2×C6) = C2×C6×C5⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):11(C2xC6)480,1149
(C2×Dic5)⋊12(C2×C6) = D5×C22×C12φ: trivial image240(C2xDic5):12(C2xC6)480,1136

Non-split extensions G=N.Q with N=C2×Dic5 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C2×Dic5).1(C2×C6) = C3×C20⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5480(C2xDic5).1(C2xC6)480,662
(C2×Dic5).2(C2×C6) = C3×C20.6Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5480(C2xDic5).2(C2xC6)480,663
(C2×Dic5).3(C2×C6) = C3×C4.D20φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).3(C2xC6)480,668
(C2×Dic5).4(C2×C6) = C3×C42⋊2D5φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).4(C2xC6)480,669
(C2×Dic5).5(C2×C6) = C3×Dic5.14D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).5(C2xC6)480,671
(C2×Dic5).6(C2×C6) = C3×C23.D10φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).6(C2xC6)480,672
(C2×Dic5).7(C2×C6) = C3×D10.12D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).7(C2xC6)480,676
(C2×Dic5).8(C2×C6) = C3×C22.D20φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).8(C2xC6)480,679
(C2×Dic5).9(C2×C6) = C3×C20⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5480(C2xDic5).9(C2xC6)480,681
(C2×Dic5).10(C2×C6) = C3×Dic5.Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5480(C2xDic5).10(C2xC6)480,682
(C2×Dic5).11(C2×C6) = C3×D10.13D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).11(C2xC6)480,687
(C2×Dic5).12(C2×C6) = C3×D10⋊2Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).12(C2xC6)480,690
(C2×Dic5).13(C2×C6) = C3×C20.48D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).13(C2xC6)480,717
(C2×Dic5).14(C2×C6) = C3×C23.23D10φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).14(C2xC6)480,722
(C2×Dic5).15(C2×C6) = C3×C20⋊7D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).15(C2xC6)480,723
(C2×Dic5).16(C2×C6) = C3×C20⋊2D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).16(C2xC6)480,731
(C2×Dic5).17(C2×C6) = C3×Dic5⋊Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5480(C2xDic5).17(C2xC6)480,737
(C2×Dic5).18(C2×C6) = C3×D10⋊3Q8φ: C2×C6/C3 → C22 ⊆ Out C2×Dic5240(C2xDic5).18(C2xC6)480,739
(C2×Dic5).19(C2×C6) = C3×D4.10D10φ: C2×C6/C3 → C22 ⊆ Out C2×Dic52404(C2xDic5).19(C2xC6)480,1147
(C2×Dic5).20(C2×C6) = C3×Dic5.D4φ: C2×C6/C3 → C22 ⊆ Out C2×Dic52404(C2xDic5).20(C2xC6)480,285
(C2×Dic5).21(C2×C6) = C3×C23.F5φ: C2×C6/C3 → C22 ⊆ Out C2×Dic51204(C2xDic5).21(C2xC6)480,293
(C2×Dic5).22(C2×C6) = C3×D4.F5φ: C2×C6/C3 → C22 ⊆ Out C2×Dic52408(C2xDic5).22(C2xC6)480,1053
(C2×Dic5).23(C2×C6) = C12×Dic10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).23(C2xC6)480,661
(C2×Dic5).24(C2×C6) = C3×C42⋊D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).24(C2xC6)480,665
(C2×Dic5).25(C2×C6) = C12×D20φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).25(C2xC6)480,666
(C2×Dic5).26(C2×C6) = C3×C23.11D10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).26(C2xC6)480,670
(C2×Dic5).27(C2×C6) = C3×D10⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).27(C2xC6)480,677
(C2×Dic5).28(C2×C6) = C3×Dic5.5D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).28(C2xC6)480,678
(C2×Dic5).29(C2×C6) = C3×Dic5⋊3Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).29(C2xC6)480,680
(C2×Dic5).30(C2×C6) = C3×C4.Dic10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).30(C2xC6)480,683
(C2×Dic5).31(C2×C6) = C3×D5×C4⋊C4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).31(C2xC6)480,684
(C2×Dic5).32(C2×C6) = C3×C4⋊D20φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).32(C2xC6)480,688
(C2×Dic5).33(C2×C6) = C3×D10⋊Q8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).33(C2xC6)480,689
(C2×Dic5).34(C2×C6) = C3×C4⋊C4⋊D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).34(C2xC6)480,691
(C2×Dic5).35(C2×C6) = C6×C10.D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).35(C2xC6)480,716
(C2×Dic5).36(C2×C6) = C6×C4⋊Dic5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).36(C2xC6)480,718
(C2×Dic5).37(C2×C6) = C3×C23.21D10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).37(C2xC6)480,719
(C2×Dic5).38(C2×C6) = C12×C5⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).38(C2xC6)480,721
(C2×Dic5).39(C2×C6) = C3×C23.18D10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).39(C2xC6)480,728
(C2×Dic5).40(C2×C6) = C3×C20.17D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).40(C2xC6)480,729
(C2×Dic5).41(C2×C6) = C3×Dic5⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).41(C2xC6)480,732
(C2×Dic5).42(C2×C6) = C3×C20⋊D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).42(C2xC6)480,733
(C2×Dic5).43(C2×C6) = C3×C20.23D4φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).43(C2xC6)480,740
(C2×Dic5).44(C2×C6) = C2×C6×Dic10φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).44(C2xC6)480,1135
(C2×Dic5).45(C2×C6) = C6×C4○D20φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).45(C2xC6)480,1138
(C2×Dic5).46(C2×C6) = C6×Q8×D5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).46(C2xC6)480,1142
(C2×Dic5).47(C2×C6) = C12×C5⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).47(C2xC6)480,280
(C2×Dic5).48(C2×C6) = C3×C20⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).48(C2xC6)480,281
(C2×Dic5).49(C2×C6) = C3×C10.C42φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).49(C2xC6)480,282
(C2×Dic5).50(C2×C6) = C3×D10⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).50(C2xC6)480,283
(C2×Dic5).51(C2×C6) = C3×Dic5⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).51(C2xC6)480,284
(C2×Dic5).52(C2×C6) = C3×C23.2F5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).52(C2xC6)480,292
(C2×Dic5).53(C2×C6) = C6×D5⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).53(C2xC6)480,1047
(C2×Dic5).54(C2×C6) = C6×C4.F5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).54(C2xC6)480,1048
(C2×Dic5).55(C2×C6) = C3×D5⋊M4(2)φ: C2×C6/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5).55(C2xC6)480,1049
(C2×Dic5).56(C2×C6) = C2×C6×C5⋊C8φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).56(C2xC6)480,1057
(C2×Dic5).57(C2×C6) = C6×C22.F5φ: C2×C6/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).57(C2xC6)480,1058
(C2×Dic5).58(C2×C6) = D5×C4×C12φ: trivial image240(C2xDic5).58(C2xC6)480,664
(C2×Dic5).59(C2×C6) = C3×Dic5⋊4D4φ: trivial image240(C2xDic5).59(C2xC6)480,674
(C2×Dic5).60(C2×C6) = C3×C4⋊C4⋊7D5φ: trivial image240(C2xDic5).60(C2xC6)480,685
(C2×Dic5).61(C2×C6) = C3×D20⋊8C4φ: trivial image240(C2xDic5).61(C2xC6)480,686
(C2×Dic5).62(C2×C6) = Dic5×C2×C12φ: trivial image480(C2xDic5).62(C2xC6)480,715
(C2×Dic5).63(C2×C6) = C3×D4×Dic5φ: trivial image240(C2xDic5).63(C2xC6)480,727
(C2×Dic5).64(C2×C6) = C3×Q8×Dic5φ: trivial image480(C2xDic5).64(C2xC6)480,738
(C2×Dic5).65(C2×C6) = C6×Q8⋊2D5φ: trivial image240(C2xDic5).65(C2xC6)480,1143

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