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Extensions 1→N→G→Q→1 with N=C4 and Q=D4⋊D5

Direct product G=N×Q with N=C4 and Q=D4⋊D5
dρLabelID
C4×D4⋊D5160C4xD4:D5320,640

Semidirect products G=N:Q with N=C4 and Q=D4⋊D5
extensionφ:Q→Aut NdρLabelID
C4⋊1(D4⋊D5) = C20⋊D8φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4:1(D4:D5)320,700
C4⋊2(D4⋊D5) = C20⋊2D8φ: D4⋊D5/D20 → C2 ⊆ Aut C4160C4:2(D4:D5)320,699
C4⋊3(D4⋊D5) = C20⋊7D8φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4160C4:3(D4:D5)320,642

Non-split extensions G=N.Q with N=C4 and Q=D4⋊D5
extensionφ:Q→Aut NdρLabelID
C4.1(D4⋊D5) = C5⋊D32φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C41604+C4.1(D4:D5)320,77
C4.2(D4⋊D5) = D16.D5φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C41604-C4.2(D4:D5)320,78
C4.3(D4⋊D5) = C5⋊SD64φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C41604+C4.3(D4:D5)320,79
C4.4(D4⋊D5) = C5⋊Q64φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C43204-C4.4(D4:D5)320,80
C4.5(D4⋊D5) = C20.16D8φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.5(D4:D5)320,697
C4.6(D4⋊D5) = C20.17D8φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4320C4.6(D4:D5)320,705
C4.7(D4⋊D5) = C20.D8φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.7(D4:D5)320,715
C4.8(D4⋊D5) = C2×C5⋊D16φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.8(D4:D5)320,773
C4.9(D4⋊D5) = C2×D8.D5φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.9(D4:D5)320,775
C4.10(D4⋊D5) = C2×C5⋊SD32φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4160C4.10(D4:D5)320,805
C4.11(D4⋊D5) = C2×C5⋊Q32φ: D4⋊D5/C5⋊2C8 → C2 ⊆ Aut C4320C4.11(D4:D5)320,807
C4.12(D4⋊D5) = C20.9D8φ: D4⋊D5/D20 → C2 ⊆ Aut C4160C4.12(D4:D5)320,102
C4.13(D4⋊D5) = C20.10D8φ: D4⋊D5/D20 → C2 ⊆ Aut C4320C4.13(D4:D5)320,105
C4.14(D4⋊D5) = D8.Dic5φ: D4⋊D5/D20 → C2 ⊆ Aut C4804C4.14(D4:D5)320,121
C4.15(D4⋊D5) = Q16.Dic5φ: D4⋊D5/D20 → C2 ⊆ Aut C41604C4.15(D4:D5)320,123
C4.16(D4⋊D5) = D20⋊6Q8φ: D4⋊D5/D20 → C2 ⊆ Aut C4160C4.16(D4:D5)320,714
C4.17(D4⋊D5) = D8.D10φ: D4⋊D5/D20 → C2 ⊆ Aut C4804C4.17(D4:D5)320,774
C4.18(D4⋊D5) = Q16.D10φ: D4⋊D5/D20 → C2 ⊆ Aut C41604C4.18(D4:D5)320,806
C4.19(D4⋊D5) = C20.47D8φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4320C4.19(D4:D5)320,40
C4.20(D4⋊D5) = C4.D40φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4160C4.20(D4:D5)320,43
C4.21(D4⋊D5) = D40.6C4φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4804+C4.21(D4:D5)320,53
C4.22(D4⋊D5) = C40.8D4φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C41604-C4.22(D4:D5)320,54
C4.23(D4⋊D5) = C20.50D8φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4160C4.23(D4:D5)320,634
C4.24(D4⋊D5) = D8⋊D10φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C4804+C4.24(D4:D5)320,820
C4.25(D4⋊D5) = C40.31C23φ: D4⋊D5/C5×D4 → C2 ⊆ Aut C41604-C4.25(D4:D5)320,822
C4.26(D4⋊D5) = C20.53D8central extension (φ=1)320C4.26(D4:D5)320,37
C4.27(D4⋊D5) = D20⋊4C8central extension (φ=1)160C4.27(D4:D5)320,41
C4.28(D4⋊D5) = C40.7Q8central extension (φ=1)1604C4.28(D4:D5)320,51
C4.29(D4⋊D5) = D40.5C4central extension (φ=1)1604C4.29(D4:D5)320,55
C4.30(D4⋊D5) = C20.57D8central extension (φ=1)160C4.30(D4:D5)320,92
C4.31(D4⋊D5) = C20.58D8central extension (φ=1)1604C4.31(D4:D5)320,125
C4.32(D4⋊D5) = C40.30C23central extension (φ=1)1604C4.32(D4:D5)320,821

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