Extensions 1→N→G→Q→1 with N=C8 and Q=C3⋊D4

Direct product G=N×Q with N=C8 and Q=C3⋊D4
dρLabelID
C8×C3⋊D496C8xC3:D4192,668

Semidirect products G=N:Q with N=C8 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C81(C3⋊D4) = C242D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:1(C3:D4)192,693
C82(C3⋊D4) = C243D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:2(C3:D4)192,694
C83(C3⋊D4) = C2411D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:3(C3:D4)192,713
C84(C3⋊D4) = C2412D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:4(C3:D4)192,718
C85(C3⋊D4) = C248D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:5(C3:D4)192,733
C86(C3⋊D4) = C249D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8:6(C3:D4)192,735
C87(C3⋊D4) = C245D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8:7(C3:D4)192,710
C88(C3⋊D4) = C2415D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8:8(C3:D4)192,734
C89(C3⋊D4) = C2421D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8:9(C3:D4)192,687
C810(C3⋊D4) = D63D8φ: C3⋊D4/D6C2 ⊆ Aut C896C8:10(C3:D4)192,716
C811(C3⋊D4) = C2414D4φ: C3⋊D4/D6C2 ⊆ Aut C896C8:11(C3:D4)192,730
C812(C3⋊D4) = C24⋊D4φ: C3⋊D4/D6C2 ⊆ Aut C896C8:12(C3:D4)192,686
C813(C3⋊D4) = C2429D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C896C8:13(C3:D4)192,674
C814(C3⋊D4) = C2430D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C896C8:14(C3:D4)192,673
C815(C3⋊D4) = C2433D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C896C8:15(C3:D4)192,670

Non-split extensions G=N.Q with N=C8 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C8.1(C3⋊D4) = C24.4D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8.1(C3:D4)192,696
C8.2(C3⋊D4) = D8.D6φ: C3⋊D4/C6C22 ⊆ Aut C8484C8.2(C3:D4)192,706
C8.3(C3⋊D4) = C24.31D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8.3(C3:D4)192,726
C8.4(C3⋊D4) = C24.27C23φ: C3⋊D4/C6C22 ⊆ Aut C8964C8.4(C3:D4)192,738
C8.5(C3⋊D4) = C24.36D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8.5(C3:D4)192,748
C8.6(C3⋊D4) = C24.37D4φ: C3⋊D4/C6C22 ⊆ Aut C896C8.6(C3:D4)192,749
C8.7(C3⋊D4) = Q16⋊D6φ: C3⋊D4/C6C22 ⊆ Aut C8484+C8.7(C3:D4)192,752
C8.8(C3⋊D4) = D8.9D6φ: C3⋊D4/C6C22 ⊆ Aut C8964-C8.8(C3:D4)192,754
C8.9(C3⋊D4) = C3⋊D32φ: C3⋊D4/Dic3C2 ⊆ Aut C8964+C8.9(C3:D4)192,78
C8.10(C3⋊D4) = D16.S3φ: C3⋊D4/Dic3C2 ⊆ Aut C8964-C8.10(C3:D4)192,79
C8.11(C3⋊D4) = C3⋊SD64φ: C3⋊D4/Dic3C2 ⊆ Aut C8964+C8.11(C3:D4)192,80
C8.12(C3⋊D4) = C3⋊Q64φ: C3⋊D4/Dic3C2 ⊆ Aut C81924-C8.12(C3:D4)192,81
C8.13(C3⋊D4) = C2×C3⋊D16φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.13(C3:D4)192,705
C8.14(C3⋊D4) = C2×D8.S3φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.14(C3:D4)192,707
C8.15(C3⋊D4) = C24.22D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.15(C3:D4)192,714
C8.16(C3⋊D4) = C2×C8.6D6φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.16(C3:D4)192,737
C8.17(C3⋊D4) = C2×C3⋊Q32φ: C3⋊D4/Dic3C2 ⊆ Aut C8192C8.17(C3:D4)192,739
C8.18(C3⋊D4) = C24.26D4φ: C3⋊D4/Dic3C2 ⊆ Aut C8192C8.18(C3:D4)192,742
C8.19(C3⋊D4) = C24.28D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.19(C3:D4)192,750
C8.20(C3⋊D4) = C24.43D4φ: C3⋊D4/Dic3C2 ⊆ Aut C896C8.20(C3:D4)192,727
C8.21(C3⋊D4) = Q16.D6φ: C3⋊D4/Dic3C2 ⊆ Aut C8964C8.21(C3:D4)192,753
C8.22(C3⋊D4) = C24.100D4φ: C3⋊D4/Dic3C2 ⊆ Aut C8484C8.22(C3:D4)192,703
C8.23(C3⋊D4) = D81Dic3φ: C3⋊D4/D6C2 ⊆ Aut C896C8.23(C3:D4)192,121
C8.24(C3⋊D4) = D8.Dic3φ: C3⋊D4/D6C2 ⊆ Aut C8484C8.24(C3:D4)192,122
C8.25(C3⋊D4) = C6.5Q32φ: C3⋊D4/D6C2 ⊆ Aut C8192C8.25(C3:D4)192,123
C8.26(C3⋊D4) = Q16.Dic3φ: C3⋊D4/D6C2 ⊆ Aut C8964C8.26(C3:D4)192,124
C8.27(C3⋊D4) = C24.23D4φ: C3⋊D4/D6C2 ⊆ Aut C8484C8.27(C3:D4)192,719
C8.28(C3⋊D4) = D63Q16φ: C3⋊D4/D6C2 ⊆ Aut C896C8.28(C3:D4)192,747
C8.29(C3⋊D4) = C24.29D4φ: C3⋊D4/D6C2 ⊆ Aut C8964C8.29(C3:D4)192,751
C8.30(C3⋊D4) = D82Dic3φ: C3⋊D4/D6C2 ⊆ Aut C8484C8.30(C3:D4)192,125
C8.31(C3⋊D4) = C24.41D4φ: C3⋊D4/D6C2 ⊆ Aut C8964C8.31(C3:D4)192,126
C8.32(C3⋊D4) = C24.44D4φ: C3⋊D4/D6C2 ⊆ Aut C8484C8.32(C3:D4)192,736
C8.33(C3⋊D4) = C24.D4φ: C3⋊D4/D6C2 ⊆ Aut C8484C8.33(C3:D4)192,112
C8.34(C3⋊D4) = C24.99D4φ: C3⋊D4/D6C2 ⊆ Aut C8964C8.34(C3:D4)192,120
C8.35(C3⋊D4) = C2.Dic24φ: C3⋊D4/C2×C6C2 ⊆ Aut C8192C8.35(C3:D4)192,62
C8.36(C3⋊D4) = C2.D48φ: C3⋊D4/C2×C6C2 ⊆ Aut C896C8.36(C3:D4)192,68
C8.37(C3⋊D4) = M5(2)⋊S3φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484+C8.37(C3:D4)192,75
C8.38(C3⋊D4) = C12.4D8φ: C3⋊D4/C2×C6C2 ⊆ Aut C8964-C8.38(C3:D4)192,76
C8.39(C3⋊D4) = C24.82D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C896C8.39(C3:D4)192,675
C8.40(C3⋊D4) = Q8.9D12φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484+C8.40(C3:D4)192,701
C8.41(C3⋊D4) = Q8.10D12φ: C3⋊D4/C2×C6C2 ⊆ Aut C8964-C8.41(C3:D4)192,702
C8.42(C3⋊D4) = D24.1C4φ: C3⋊D4/C2×C6C2 ⊆ Aut C8962C8.42(C3:D4)192,69
C8.43(C3⋊D4) = D242C4φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484C8.43(C3:D4)192,77
C8.44(C3⋊D4) = Q8.8D12φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484C8.44(C3:D4)192,700
C8.45(C3⋊D4) = D12.C8φ: C3⋊D4/C2×C6C2 ⊆ Aut C8962C8.45(C3:D4)192,67
C8.46(C3⋊D4) = C8.25D12φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484C8.46(C3:D4)192,73
C8.47(C3⋊D4) = C24.54D4φ: C3⋊D4/C2×C6C2 ⊆ Aut C8484C8.47(C3:D4)192,704
C8.48(C3⋊D4) = Dic3⋊C16central extension (φ=1)192C8.48(C3:D4)192,60
C8.49(C3⋊D4) = D6⋊C16central extension (φ=1)96C8.49(C3:D4)192,66
C8.50(C3⋊D4) = C24.97D4central extension (φ=1)484C8.50(C3:D4)192,70
C8.51(C3⋊D4) = Dic6.C8central extension (φ=1)964C8.51(C3:D4)192,74
C8.52(C3⋊D4) = C24.98D4central extension (φ=1)96C8.52(C3:D4)192,108

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