Extensions 1→N→G→Q→1 with N=D6 and Q=C22⋊C4

Direct product G=N×Q with N=D6 and Q=C22⋊C4
dρLabelID
C2×S3×C22⋊C448C2xS3xC2^2:C4192,1043

Semidirect products G=N:Q with N=D6 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
D61(C22⋊C4) = (C2×C4)⋊9D12φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6:1(C2^2:C4)192,224
D62(C22⋊C4) = C24.23D6φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6:2(C2^2:C4)192,515
D63(C22⋊C4) = C24.59D6φ: C22⋊C4/C23C2 ⊆ Out D648D6:3(C2^2:C4)192,514

Non-split extensions G=N.Q with N=D6 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
D6.1(C22⋊C4) = D6⋊C8⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6.1(C2^2:C4)192,286
D6.2(C22⋊C4) = M4(2).19D6φ: C22⋊C4/C2×C4C2 ⊆ Out D6488-D6.2(C2^2:C4)192,304
D6.3(C22⋊C4) = M4(2).21D6φ: C22⋊C4/C2×C4C2 ⊆ Out D6488+D6.3(C2^2:C4)192,310
D6.4(C22⋊C4) = D4⋊(C4×S3)φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6.4(C2^2:C4)192,330
D6.5(C22⋊C4) = D42S3⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6.5(C2^2:C4)192,331
D6.6(C22⋊C4) = Q87(C4×S3)φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6.6(C2^2:C4)192,362
D6.7(C22⋊C4) = C4⋊C4.150D6φ: C22⋊C4/C2×C4C2 ⊆ Out D696D6.7(C2^2:C4)192,363
D6.8(C22⋊C4) = C423D6φ: C22⋊C4/C2×C4C2 ⊆ Out D6484D6.8(C2^2:C4)192,380
D6.9(C22⋊C4) = C22.58(S3×D4)φ: C22⋊C4/C23C2 ⊆ Out D696D6.9(C2^2:C4)192,223
D6.10(C22⋊C4) = D6⋊M4(2)φ: C22⋊C4/C23C2 ⊆ Out D648D6.10(C2^2:C4)192,285
D6.11(C22⋊C4) = C4⋊C419D6φ: C22⋊C4/C23C2 ⊆ Out D648D6.11(C2^2:C4)192,329
D6.12(C22⋊C4) = (S3×Q8)⋊C4φ: C22⋊C4/C23C2 ⊆ Out D696D6.12(C2^2:C4)192,361
D6.13(C22⋊C4) = S3×C2.C42φ: trivial image96D6.13(C2^2:C4)192,222
D6.14(C22⋊C4) = S3×C22⋊C8φ: trivial image48D6.14(C2^2:C4)192,283
D6.15(C22⋊C4) = S3×C23⋊C4φ: trivial image248+D6.15(C2^2:C4)192,302
D6.16(C22⋊C4) = S3×C4.D4φ: trivial image248+D6.16(C2^2:C4)192,303
D6.17(C22⋊C4) = S3×C4.10D4φ: trivial image488-D6.17(C2^2:C4)192,309
D6.18(C22⋊C4) = S3×D4⋊C4φ: trivial image48D6.18(C2^2:C4)192,328
D6.19(C22⋊C4) = S3×Q8⋊C4φ: trivial image96D6.19(C2^2:C4)192,360
D6.20(C22⋊C4) = S3×C4≀C2φ: trivial image244D6.20(C2^2:C4)192,379

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