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Extensions 1→N→G→Q→1 with N=C5⋊2C8 and Q=C2×C6

Direct product G=N×Q with N=C5⋊2C8 and Q=C2×C6
dρLabelID
C2×C6×C5⋊2C8480C2xC6xC5:2C8480,713

Semidirect products G=N:Q with N=C5⋊2C8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C5⋊2C8⋊1(C2×C6) = C3×D8⋊D5φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:1(C2xC6)480,704
C5⋊2C8⋊2(C2×C6) = C3×D40⋊C2φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:2(C2xC6)480,707
C5⋊2C8⋊3(C2×C6) = C3×D4.D10φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:3(C2xC6)480,725
C5⋊2C8⋊4(C2×C6) = C3×D4⋊D10φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:4(C2xC6)480,742
C5⋊2C8⋊5(C2×C6) = C3×D5×D8φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C81204C5:2C8:5(C2xC6)480,703
C5⋊2C8⋊6(C2×C6) = C3×D5×SD16φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C81204C5:2C8:6(C2xC6)480,706
C5⋊2C8⋊7(C2×C6) = C6×D4⋊D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:7(C2xC6)480,724
C5⋊2C8⋊8(C2×C6) = C6×D4.D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:8(C2xC6)480,726
C5⋊2C8⋊9(C2×C6) = C6×Q8⋊D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:9(C2xC6)480,734
C5⋊2C8⋊10(C2×C6) = C6×C8⋊D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:10(C2xC6)480,693
C5⋊2C8⋊11(C2×C6) = C3×D5×M4(2)φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C81204C5:2C8:11(C2xC6)480,699
C5⋊2C8⋊12(C2×C6) = C6×C4.Dic5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:12(C2xC6)480,714
C5⋊2C8⋊13(C2×C6) = D5×C2×C24φ: trivial image240C5:2C8:13(C2xC6)480,692

Non-split extensions G=N.Q with N=C5⋊2C8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C5⋊2C8.1(C2×C6) = C3×SD16⋊D5φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.1(C2xC6)480,708
C5⋊2C8.2(C2×C6) = C3×Q16⋊D5φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.2(C2xC6)480,711
C5⋊2C8.3(C2×C6) = C3×C20.C23φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.3(C2xC6)480,735
C5⋊2C8.4(C2×C6) = C3×D4.9D10φ: C2×C6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.4(C2xC6)480,744
C5⋊2C8.5(C2×C6) = C3×D8⋊3D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.5(C2xC6)480,705
C5⋊2C8.6(C2×C6) = C3×SD16⋊3D5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.6(C2xC6)480,709
C5⋊2C8.7(C2×C6) = C3×D5×Q16φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.7(C2xC6)480,710
C5⋊2C8.8(C2×C6) = C3×Q8.D10φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.8(C2xC6)480,712
C5⋊2C8.9(C2×C6) = C6×C5⋊Q16φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8480C5:2C8.9(C2xC6)480,736
C5⋊2C8.10(C2×C6) = C3×D4.8D10φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.10(C2xC6)480,743
C5⋊2C8.11(C2×C6) = C3×D20.3C4φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82402C5:2C8.11(C2xC6)480,694
C5⋊2C8.12(C2×C6) = C3×D20.2C4φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.12(C2xC6)480,700
C5⋊2C8.13(C2×C6) = C3×D5⋊C16φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.13(C2xC6)480,269
C5⋊2C8.14(C2×C6) = C3×C8.F5φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.14(C2xC6)480,270
C5⋊2C8.15(C2×C6) = C6×C5⋊C16φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C8480C5:2C8.15(C2xC6)480,277
C5⋊2C8.16(C2×C6) = C3×C20.C8φ: C2×C6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.16(C2xC6)480,278
C5⋊2C8.17(C2×C6) = C3×D4.Dic5φ: trivial image2404C5:2C8.17(C2xC6)480,741

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