# Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C2×C10

Direct product G=N×Q with N=C22×S3 and Q=C2×C10
dρLabelID
S3×C23×C10240S3xC2^3xC10480,1211

Semidirect products G=N:Q with N=C22×S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1(C2×C10) = C5×D6⋊D4φ: C2×C10/C5C22 ⊆ Out C22×S3120(C2^2xS3):1(C2xC10)480,761
(C22×S3)⋊2(C2×C10) = C5×C244S3φ: C2×C10/C5C22 ⊆ Out C22×S3120(C2^2xS3):2(C2xC10)480,832
(C22×S3)⋊3(C2×C10) = C5×D46D6φ: C2×C10/C5C22 ⊆ Out C22×S31204(C2^2xS3):3(C2xC10)480,1156
(C22×S3)⋊4(C2×C10) = C5×D4○D12φ: C2×C10/C5C22 ⊆ Out C22×S31204(C2^2xS3):4(C2xC10)480,1161
(C22×S3)⋊5(C2×C10) = C2×C10×D12φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3):5(C2xC10)480,1152
(C22×S3)⋊6(C2×C10) = S3×D4×C10φ: C2×C10/C10C2 ⊆ Out C22×S3120(C2^2xS3):6(C2xC10)480,1154
(C22×S3)⋊7(C2×C10) = C2×C10×C3⋊D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3):7(C2xC10)480,1164

Non-split extensions G=N.Q with N=C22×S3 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
(C22×S3).1(C2×C10) = C5×C4⋊D12φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).1(C2xC10)480,753
(C22×S3).2(C2×C10) = C5×C427S3φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).2(C2xC10)480,754
(C22×S3).3(C2×C10) = C5×C423S3φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).3(C2xC10)480,755
(C22×S3).4(C2×C10) = C5×Dic3⋊D4φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).4(C2xC10)480,763
(C22×S3).5(C2×C10) = C5×C23.11D6φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).5(C2xC10)480,764
(C22×S3).6(C2×C10) = C5×C23.21D6φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).6(C2xC10)480,765
(C22×S3).7(C2×C10) = C5×C12⋊D4φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).7(C2xC10)480,774
(C22×S3).8(C2×C10) = C5×C4⋊C4⋊S3φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).8(C2xC10)480,777
(C22×S3).9(C2×C10) = C5×C23.28D6φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).9(C2xC10)480,808
(C22×S3).10(C2×C10) = C5×C127D4φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).10(C2xC10)480,809
(C22×S3).11(C2×C10) = C5×C23.14D6φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).11(C2xC10)480,818
(C22×S3).12(C2×C10) = C5×C123D4φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).12(C2xC10)480,819
(C22×S3).13(C2×C10) = C5×C12.23D4φ: C2×C10/C5C22 ⊆ Out C22×S3240(C2^2xS3).13(C2xC10)480,826
(C22×S3).14(C2×C10) = C5×C422S3φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).14(C2xC10)480,751
(C22×S3).15(C2×C10) = C20×D12φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).15(C2xC10)480,752
(C22×S3).16(C2×C10) = C5×S3×C22⋊C4φ: C2×C10/C10C2 ⊆ Out C22×S3120(C2^2xS3).16(C2xC10)480,759
(C22×S3).17(C2×C10) = C5×Dic34D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).17(C2xC10)480,760
(C22×S3).18(C2×C10) = C5×C23.9D6φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).18(C2xC10)480,762
(C22×S3).19(C2×C10) = C5×C4⋊C47S3φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).19(C2xC10)480,771
(C22×S3).20(C2×C10) = C5×Dic35D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).20(C2xC10)480,772
(C22×S3).21(C2×C10) = C5×D6.D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).21(C2xC10)480,773
(C22×S3).22(C2×C10) = C5×D6⋊Q8φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).22(C2xC10)480,775
(C22×S3).23(C2×C10) = C5×C4.D12φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).23(C2xC10)480,776
(C22×S3).24(C2×C10) = C10×D6⋊C4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).24(C2xC10)480,806
(C22×S3).25(C2×C10) = C20×C3⋊D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).25(C2xC10)480,807
(C22×S3).26(C2×C10) = C5×C232D6φ: C2×C10/C10C2 ⊆ Out C22×S3120(C2^2xS3).26(C2xC10)480,816
(C22×S3).27(C2×C10) = C5×D63D4φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).27(C2xC10)480,817
(C22×S3).28(C2×C10) = C5×D63Q8φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).28(C2xC10)480,825
(C22×S3).29(C2×C10) = C10×C4○D12φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).29(C2xC10)480,1153
(C22×S3).30(C2×C10) = C10×D42S3φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).30(C2xC10)480,1155
(C22×S3).31(C2×C10) = C10×Q83S3φ: C2×C10/C10C2 ⊆ Out C22×S3240(C2^2xS3).31(C2xC10)480,1158
(C22×S3).32(C2×C10) = C5×S3×C4○D4φ: C2×C10/C10C2 ⊆ Out C22×S31204(C2^2xS3).32(C2xC10)480,1160
(C22×S3).33(C2×C10) = S3×C4×C20φ: trivial image240(C2^2xS3).33(C2xC10)480,750
(C22×S3).34(C2×C10) = C5×S3×C4⋊C4φ: trivial image240(C2^2xS3).34(C2xC10)480,770
(C22×S3).35(C2×C10) = S3×C22×C20φ: trivial image240(C2^2xS3).35(C2xC10)480,1151
(C22×S3).36(C2×C10) = S3×Q8×C10φ: trivial image240(C2^2xS3).36(C2xC10)480,1157

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