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Extensions 1→N→G→Q→1 with N=D30 and Q=C2xC4

Direct product G=NxQ with N=D30 and Q=C2xC4
dρLabelID
C22xC4xD15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=D30 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
D30:1(C2xC4) = F5xD12φ: C2xC4/C1 → C2xC4 ⊆ Out D30608+D30:1(C2xC4)480,995
D30:2(C2xC4) = D60:3C4φ: C2xC4/C1 → C2xC4 ⊆ Out D30608+D30:2(C2xC4)480,997
D30:3(C2xC4) = F5xC3:D4φ: C2xC4/C1 → C2xC4 ⊆ Out D30608D30:3(C2xC4)480,1010
D30:4(C2xC4) = C3:D4:F5φ: C2xC4/C1 → C2xC4 ⊆ Out D30608D30:4(C2xC4)480,1012
D30:5(C2xC4) = C2xD6:F5φ: C2xC4/C2 → C4 ⊆ Out D30120D30:5(C2xC4)480,1000
D30:6(C2xC4) = S3xC22:F5φ: C2xC4/C2 → C4 ⊆ Out D30608+D30:6(C2xC4)480,1011
D30:7(C2xC4) = C22xS3xF5φ: C2xC4/C2 → C4 ⊆ Out D3060D30:7(C2xC4)480,1197
D30:8(C2xC4) = Dic3:4D20φ: C2xC4/C2 → C22 ⊆ Out D30240D30:8(C2xC4)480,471
D30:9(C2xC4) = Dic5:4D12φ: C2xC4/C2 → C22 ⊆ Out D30240D30:9(C2xC4)480,481
D30:10(C2xC4) = D60:17C4φ: C2xC4/C2 → C22 ⊆ Out D30240D30:10(C2xC4)480,494
D30:11(C2xC4) = D60:14C4φ: C2xC4/C2 → C22 ⊆ Out D30240D30:11(C2xC4)480,504
D30:12(C2xC4) = C15:20(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out D30240D30:12(C2xC4)480,520
D30:13(C2xC4) = C15:22(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out D30240D30:13(C2xC4)480,522
D30:14(C2xC4) = D5xD6:C4φ: C2xC4/C2 → C22 ⊆ Out D30120D30:14(C2xC4)480,547
D30:15(C2xC4) = S3xD10:C4φ: C2xC4/C2 → C22 ⊆ Out D30120D30:15(C2xC4)480,548
D30:16(C2xC4) = C15:26(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out D30240D30:16(C2xC4)480,628
D30:17(C2xC4) = C15:28(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out D30240D30:17(C2xC4)480,632
D30:18(C2xC4) = C4xD60φ: C2xC4/C4 → C2 ⊆ Out D30240D30:18(C2xC4)480,838
D30:19(C2xC4) = Dic15:19D4φ: C2xC4/C4 → C2 ⊆ Out D30240D30:19(C2xC4)480,846
D30:20(C2xC4) = D60:11C4φ: C2xC4/C4 → C2 ⊆ Out D30240D30:20(C2xC4)480,858
D30:21(C2xC4) = C4xC15:7D4φ: C2xC4/C4 → C2 ⊆ Out D30240D30:21(C2xC4)480,893
D30:22(C2xC4) = Dic15:13D4φ: C2xC4/C4 → C2 ⊆ Out D30240D30:22(C2xC4)480,472
D30:23(C2xC4) = Dic15:14D4φ: C2xC4/C4 → C2 ⊆ Out D30240D30:23(C2xC4)480,482
D30:24(C2xC4) = C4xC3:D20φ: C2xC4/C4 → C2 ⊆ Out D30240D30:24(C2xC4)480,519
D30:25(C2xC4) = C4xC5:D12φ: C2xC4/C4 → C2 ⊆ Out D30240D30:25(C2xC4)480,521
D30:26(C2xC4) = S3xC2xC4xD5φ: C2xC4/C4 → C2 ⊆ Out D30120D30:26(C2xC4)480,1086
D30:27(C2xC4) = C22:C4xD15φ: C2xC4/C22 → C2 ⊆ Out D30120D30:27(C2xC4)480,845
D30:28(C2xC4) = C2xD30:3C4φ: C2xC4/C22 → C2 ⊆ Out D30240D30:28(C2xC4)480,892
D30:29(C2xC4) = C2xD30:4C4φ: C2xC4/C22 → C2 ⊆ Out D30240D30:29(C2xC4)480,616
D30:30(C2xC4) = D30.45D4φ: C2xC4/C22 → C2 ⊆ Out D30120D30:30(C2xC4)480,637
D30:31(C2xC4) = C22xD30.C2φ: C2xC4/C22 → C2 ⊆ Out D30240D30:31(C2xC4)480,1117

Non-split extensions G=N.Q with N=D30 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
D30.1(C2xC4) = D60.C4φ: C2xC4/C1 → C2xC4 ⊆ Out D302408+D30.1(C2xC4)480,990
D30.2(C2xC4) = Dic6.F5φ: C2xC4/C1 → C2xC4 ⊆ Out D302408+D30.2(C2xC4)480,992
D30.3(C2xC4) = C5:C8.D6φ: C2xC4/C1 → C2xC4 ⊆ Out D302408D30.3(C2xC4)480,1003
D30.4(C2xC4) = D15:C8:C2φ: C2xC4/C1 → C2xC4 ⊆ Out D302408D30.4(C2xC4)480,1005
D30.5(C2xC4) = C4:F5:3S3φ: C2xC4/C2 → C4 ⊆ Out D301208D30.5(C2xC4)480,983
D30.6(C2xC4) = (C4xS3):F5φ: C2xC4/C2 → C4 ⊆ Out D301208D30.6(C2xC4)480,985
D30.7(C2xC4) = S3xD5:C8φ: C2xC4/C2 → C4 ⊆ Out D301208D30.7(C2xC4)480,986
D30.8(C2xC4) = S3xC4.F5φ: C2xC4/C2 → C4 ⊆ Out D301208D30.8(C2xC4)480,988
D30.9(C2xC4) = D15:M4(2)φ: C2xC4/C2 → C4 ⊆ Out D301208D30.9(C2xC4)480,991
D30.10(C2xC4) = C5:C8:D6φ: C2xC4/C2 → C4 ⊆ Out D301208D30.10(C2xC4)480,993
D30.11(C2xC4) = C4xS3xF5φ: C2xC4/C2 → C4 ⊆ Out D30608D30.11(C2xC4)480,994
D30.12(C2xC4) = S3xC4:F5φ: C2xC4/C2 → C4 ⊆ Out D30608D30.12(C2xC4)480,996
D30.13(C2xC4) = C2xD15:C8φ: C2xC4/C2 → C4 ⊆ Out D30240D30.13(C2xC4)480,1006
D30.14(C2xC4) = D15:2M4(2)φ: C2xC4/C2 → C4 ⊆ Out D301208+D30.14(C2xC4)480,1007
D30.15(C2xC4) = C2xDic3.F5φ: C2xC4/C2 → C4 ⊆ Out D30240D30.15(C2xC4)480,1009
D30.16(C2xC4) = D5xC8:S3φ: C2xC4/C2 → C22 ⊆ Out D301204D30.16(C2xC4)480,320
D30.17(C2xC4) = S3xC8:D5φ: C2xC4/C2 → C22 ⊆ Out D301204D30.17(C2xC4)480,321
D30.18(C2xC4) = C40.34D6φ: C2xC4/C2 → C22 ⊆ Out D302404D30.18(C2xC4)480,342
D30.19(C2xC4) = C40.55D6φ: C2xC4/C2 → C22 ⊆ Out D302404D30.19(C2xC4)480,343
D30.20(C2xC4) = D60.5C4φ: C2xC4/C2 → C22 ⊆ Out D302404D30.20(C2xC4)480,366
D30.21(C2xC4) = D60.4C4φ: C2xC4/C2 → C22 ⊆ Out D302404D30.21(C2xC4)480,367
D30.22(C2xC4) = D30.C2:C4φ: C2xC4/C2 → C22 ⊆ Out D30240D30.22(C2xC4)480,478
D30.23(C2xC4) = D30.23(C2xC4)φ: C2xC4/C2 → C22 ⊆ Out D30240D30.23(C2xC4)480,479
D30.24(C2xC4) = D60.6C4φ: C2xC4/C4 → C2 ⊆ Out D302402D30.24(C2xC4)480,866
D30.25(C2xC4) = D60.3C4φ: C2xC4/C4 → C2 ⊆ Out D302404D30.25(C2xC4)480,872
D30.26(C2xC4) = S3xC8xD5φ: C2xC4/C4 → C2 ⊆ Out D301204D30.26(C2xC4)480,319
D30.27(C2xC4) = C40:D6φ: C2xC4/C4 → C2 ⊆ Out D301204D30.27(C2xC4)480,322
D30.28(C2xC4) = C40.54D6φ: C2xC4/C4 → C2 ⊆ Out D302404D30.28(C2xC4)480,341
D30.29(C2xC4) = C40.35D6φ: C2xC4/C4 → C2 ⊆ Out D302404D30.29(C2xC4)480,344
D30.30(C2xC4) = C4xD30.C2φ: C2xC4/C4 → C2 ⊆ Out D30240D30.30(C2xC4)480,477
D30.31(C2xC4) = D30.Q8φ: C2xC4/C4 → C2 ⊆ Out D30240D30.31(C2xC4)480,480
D30.32(C2xC4) = D30.27D4φ: C2xC4/C4 → C2 ⊆ Out D30120D30.32(C2xC4)480,549
D30.33(C2xC4) = C42:2D15φ: C2xC4/C22 → C2 ⊆ Out D30240D30.33(C2xC4)480,837
D30.34(C2xC4) = C4:C4:7D15φ: C2xC4/C22 → C2 ⊆ Out D30240D30.34(C2xC4)480,857
D30.35(C2xC4) = C2xC40:S3φ: C2xC4/C22 → C2 ⊆ Out D30240D30.35(C2xC4)480,865
D30.36(C2xC4) = C2xD15:2C8φ: C2xC4/C22 → C2 ⊆ Out D30240D30.36(C2xC4)480,365
D30.37(C2xC4) = D15:4M4(2)φ: C2xC4/C22 → C2 ⊆ Out D301204D30.37(C2xC4)480,368
D30.38(C2xC4) = C2xD30.5C4φ: C2xC4/C22 → C2 ⊆ Out D30240D30.38(C2xC4)480,371
D30.39(C2xC4) = (C4xD15):8C4φ: C2xC4/C22 → C2 ⊆ Out D30240D30.39(C2xC4)480,423
D30.40(C2xC4) = (C4xD15):10C4φ: C2xC4/C22 → C2 ⊆ Out D30240D30.40(C2xC4)480,462
D30.41(C2xC4) = D30.2Q8φ: C2xC4/C22 → C2 ⊆ Out D30240D30.41(C2xC4)480,513
D30.42(C2xC4) = C42xD15φ: trivial image240D30.42(C2xC4)480,836
D30.43(C2xC4) = C4:C4xD15φ: trivial image240D30.43(C2xC4)480,856
D30.44(C2xC4) = C2xC8xD15φ: trivial image240D30.44(C2xC4)480,864
D30.45(C2xC4) = M4(2)xD15φ: trivial image1204D30.45(C2xC4)480,871

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