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Extensions 1→N→G→Q→1 with N=D30 and Q=C2×C4

Direct product G=N×Q with N=D30 and Q=C2×C4
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=D30 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D30⋊1(C2×C4) = F5×D12φ: C2×C4/C1 → C2×C4 ⊆ Out D30608+D30:1(C2xC4)480,995
D30⋊2(C2×C4) = D60⋊3C4φ: C2×C4/C1 → C2×C4 ⊆ Out D30608+D30:2(C2xC4)480,997
D30⋊3(C2×C4) = F5×C3⋊D4φ: C2×C4/C1 → C2×C4 ⊆ Out D30608D30:3(C2xC4)480,1010
D30⋊4(C2×C4) = C3⋊D4⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Out D30608D30:4(C2xC4)480,1012
D30⋊5(C2×C4) = C2×D6⋊F5φ: C2×C4/C2 → C4 ⊆ Out D30120D30:5(C2xC4)480,1000
D30⋊6(C2×C4) = S3×C22⋊F5φ: C2×C4/C2 → C4 ⊆ Out D30608+D30:6(C2xC4)480,1011
D30⋊7(C2×C4) = C22×S3×F5φ: C2×C4/C2 → C4 ⊆ Out D3060D30:7(C2xC4)480,1197
D30⋊8(C2×C4) = Dic3⋊4D20φ: C2×C4/C2 → C22 ⊆ Out D30240D30:8(C2xC4)480,471
D30⋊9(C2×C4) = Dic5⋊4D12φ: C2×C4/C2 → C22 ⊆ Out D30240D30:9(C2xC4)480,481
D30⋊10(C2×C4) = D60⋊17C4φ: C2×C4/C2 → C22 ⊆ Out D30240D30:10(C2xC4)480,494
D30⋊11(C2×C4) = D60⋊14C4φ: C2×C4/C2 → C22 ⊆ Out D30240D30:11(C2xC4)480,504
D30⋊12(C2×C4) = C15⋊20(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out D30240D30:12(C2xC4)480,520
D30⋊13(C2×C4) = C15⋊22(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out D30240D30:13(C2xC4)480,522
D30⋊14(C2×C4) = D5×D6⋊C4φ: C2×C4/C2 → C22 ⊆ Out D30120D30:14(C2xC4)480,547
D30⋊15(C2×C4) = S3×D10⋊C4φ: C2×C4/C2 → C22 ⊆ Out D30120D30:15(C2xC4)480,548
D30⋊16(C2×C4) = C15⋊26(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out D30240D30:16(C2xC4)480,628
D30⋊17(C2×C4) = C15⋊28(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out D30240D30:17(C2xC4)480,632
D30⋊18(C2×C4) = C4×D60φ: C2×C4/C4 → C2 ⊆ Out D30240D30:18(C2xC4)480,838
D30⋊19(C2×C4) = Dic15⋊19D4φ: C2×C4/C4 → C2 ⊆ Out D30240D30:19(C2xC4)480,846
D30⋊20(C2×C4) = D60⋊11C4φ: C2×C4/C4 → C2 ⊆ Out D30240D30:20(C2xC4)480,858
D30⋊21(C2×C4) = C4×C15⋊7D4φ: C2×C4/C4 → C2 ⊆ Out D30240D30:21(C2xC4)480,893
D30⋊22(C2×C4) = Dic15⋊13D4φ: C2×C4/C4 → C2 ⊆ Out D30240D30:22(C2xC4)480,472
D30⋊23(C2×C4) = Dic15⋊14D4φ: C2×C4/C4 → C2 ⊆ Out D30240D30:23(C2xC4)480,482
D30⋊24(C2×C4) = C4×C3⋊D20φ: C2×C4/C4 → C2 ⊆ Out D30240D30:24(C2xC4)480,519
D30⋊25(C2×C4) = C4×C5⋊D12φ: C2×C4/C4 → C2 ⊆ Out D30240D30:25(C2xC4)480,521
D30⋊26(C2×C4) = S3×C2×C4×D5φ: C2×C4/C4 → C2 ⊆ Out D30120D30:26(C2xC4)480,1086
D30⋊27(C2×C4) = C22⋊C4×D15φ: C2×C4/C22 → C2 ⊆ Out D30120D30:27(C2xC4)480,845
D30⋊28(C2×C4) = C2×D30⋊3C4φ: C2×C4/C22 → C2 ⊆ Out D30240D30:28(C2xC4)480,892
D30⋊29(C2×C4) = C2×D30⋊4C4φ: C2×C4/C22 → C2 ⊆ Out D30240D30:29(C2xC4)480,616
D30⋊30(C2×C4) = D30.45D4φ: C2×C4/C22 → C2 ⊆ Out D30120D30:30(C2xC4)480,637
D30⋊31(C2×C4) = C22×D30.C2φ: C2×C4/C22 → C2 ⊆ Out D30240D30:31(C2xC4)480,1117

Non-split extensions G=N.Q with N=D30 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D30.1(C2×C4) = D60.C4φ: C2×C4/C1 → C2×C4 ⊆ Out D302408+D30.1(C2xC4)480,990
D30.2(C2×C4) = Dic6.F5φ: C2×C4/C1 → C2×C4 ⊆ Out D302408+D30.2(C2xC4)480,992
D30.3(C2×C4) = C5⋊C8.D6φ: C2×C4/C1 → C2×C4 ⊆ Out D302408D30.3(C2xC4)480,1003
D30.4(C2×C4) = D15⋊C8⋊C2φ: C2×C4/C1 → C2×C4 ⊆ Out D302408D30.4(C2xC4)480,1005
D30.5(C2×C4) = C4⋊F5⋊3S3φ: C2×C4/C2 → C4 ⊆ Out D301208D30.5(C2xC4)480,983
D30.6(C2×C4) = (C4×S3)⋊F5φ: C2×C4/C2 → C4 ⊆ Out D301208D30.6(C2xC4)480,985
D30.7(C2×C4) = S3×D5⋊C8φ: C2×C4/C2 → C4 ⊆ Out D301208D30.7(C2xC4)480,986
D30.8(C2×C4) = S3×C4.F5φ: C2×C4/C2 → C4 ⊆ Out D301208D30.8(C2xC4)480,988
D30.9(C2×C4) = D15⋊M4(2)φ: C2×C4/C2 → C4 ⊆ Out D301208D30.9(C2xC4)480,991
D30.10(C2×C4) = C5⋊C8⋊D6φ: C2×C4/C2 → C4 ⊆ Out D301208D30.10(C2xC4)480,993
D30.11(C2×C4) = C4×S3×F5φ: C2×C4/C2 → C4 ⊆ Out D30608D30.11(C2xC4)480,994
D30.12(C2×C4) = S3×C4⋊F5φ: C2×C4/C2 → C4 ⊆ Out D30608D30.12(C2xC4)480,996
D30.13(C2×C4) = C2×D15⋊C8φ: C2×C4/C2 → C4 ⊆ Out D30240D30.13(C2xC4)480,1006
D30.14(C2×C4) = D15⋊2M4(2)φ: C2×C4/C2 → C4 ⊆ Out D301208+D30.14(C2xC4)480,1007
D30.15(C2×C4) = C2×Dic3.F5φ: C2×C4/C2 → C4 ⊆ Out D30240D30.15(C2xC4)480,1009
D30.16(C2×C4) = D5×C8⋊S3φ: C2×C4/C2 → C22 ⊆ Out D301204D30.16(C2xC4)480,320
D30.17(C2×C4) = S3×C8⋊D5φ: C2×C4/C2 → C22 ⊆ Out D301204D30.17(C2xC4)480,321
D30.18(C2×C4) = C40.34D6φ: C2×C4/C2 → C22 ⊆ Out D302404D30.18(C2xC4)480,342
D30.19(C2×C4) = C40.55D6φ: C2×C4/C2 → C22 ⊆ Out D302404D30.19(C2xC4)480,343
D30.20(C2×C4) = D60.5C4φ: C2×C4/C2 → C22 ⊆ Out D302404D30.20(C2xC4)480,366
D30.21(C2×C4) = D60.4C4φ: C2×C4/C2 → C22 ⊆ Out D302404D30.21(C2xC4)480,367
D30.22(C2×C4) = D30.C2⋊C4φ: C2×C4/C2 → C22 ⊆ Out D30240D30.22(C2xC4)480,478
D30.23(C2×C4) = D30.23(C2×C4)φ: C2×C4/C2 → C22 ⊆ Out D30240D30.23(C2xC4)480,479
D30.24(C2×C4) = D60.6C4φ: C2×C4/C4 → C2 ⊆ Out D302402D30.24(C2xC4)480,866
D30.25(C2×C4) = D60.3C4φ: C2×C4/C4 → C2 ⊆ Out D302404D30.25(C2xC4)480,872
D30.26(C2×C4) = S3×C8×D5φ: C2×C4/C4 → C2 ⊆ Out D301204D30.26(C2xC4)480,319
D30.27(C2×C4) = C40⋊D6φ: C2×C4/C4 → C2 ⊆ Out D301204D30.27(C2xC4)480,322
D30.28(C2×C4) = C40.54D6φ: C2×C4/C4 → C2 ⊆ Out D302404D30.28(C2xC4)480,341
D30.29(C2×C4) = C40.35D6φ: C2×C4/C4 → C2 ⊆ Out D302404D30.29(C2xC4)480,344
D30.30(C2×C4) = C4×D30.C2φ: C2×C4/C4 → C2 ⊆ Out D30240D30.30(C2xC4)480,477
D30.31(C2×C4) = D30.Q8φ: C2×C4/C4 → C2 ⊆ Out D30240D30.31(C2xC4)480,480
D30.32(C2×C4) = D30.27D4φ: C2×C4/C4 → C2 ⊆ Out D30120D30.32(C2xC4)480,549
D30.33(C2×C4) = C42⋊2D15φ: C2×C4/C22 → C2 ⊆ Out D30240D30.33(C2xC4)480,837
D30.34(C2×C4) = C4⋊C4⋊7D15φ: C2×C4/C22 → C2 ⊆ Out D30240D30.34(C2xC4)480,857
D30.35(C2×C4) = C2×C40⋊S3φ: C2×C4/C22 → C2 ⊆ Out D30240D30.35(C2xC4)480,865
D30.36(C2×C4) = C2×D15⋊2C8φ: C2×C4/C22 → C2 ⊆ Out D30240D30.36(C2xC4)480,365
D30.37(C2×C4) = D15⋊4M4(2)φ: C2×C4/C22 → C2 ⊆ Out D301204D30.37(C2xC4)480,368
D30.38(C2×C4) = C2×D30.5C4φ: C2×C4/C22 → C2 ⊆ Out D30240D30.38(C2xC4)480,371
D30.39(C2×C4) = (C4×D15)⋊8C4φ: C2×C4/C22 → C2 ⊆ Out D30240D30.39(C2xC4)480,423
D30.40(C2×C4) = (C4×D15)⋊10C4φ: C2×C4/C22 → C2 ⊆ Out D30240D30.40(C2xC4)480,462
D30.41(C2×C4) = D30.2Q8φ: C2×C4/C22 → C2 ⊆ Out D30240D30.41(C2xC4)480,513
D30.42(C2×C4) = C42×D15φ: trivial image240D30.42(C2xC4)480,836
D30.43(C2×C4) = C4⋊C4×D15φ: trivial image240D30.43(C2xC4)480,856
D30.44(C2×C4) = C2×C8×D15φ: trivial image240D30.44(C2xC4)480,864
D30.45(C2×C4) = M4(2)×D15φ: trivial image1204D30.45(C2xC4)480,871

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