Extensions 1→N→G→Q→1 with N=C4 and Q=C4×D5

Direct product G=N×Q with N=C4 and Q=C4×D5
dρLabelID
D5×C4280D5xC4^2160,92

Semidirect products G=N:Q with N=C4 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
C41(C4×D5) = D208C4φ: C4×D5/Dic5C2 ⊆ Aut C480C4:1(C4xD5)160,114
C42(C4×D5) = C4×D20φ: C4×D5/C20C2 ⊆ Aut C480C4:2(C4xD5)160,94
C43(C4×D5) = D5×C4⋊C4φ: C4×D5/D10C2 ⊆ Aut C480C4:3(C4xD5)160,112

Non-split extensions G=N.Q with N=C4 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
C4.1(C4×D5) = D206C4φ: C4×D5/Dic5C2 ⊆ Aut C480C4.1(C4xD5)160,16
C4.2(C4×D5) = C10.Q16φ: C4×D5/Dic5C2 ⊆ Aut C4160C4.2(C4xD5)160,17
C4.3(C4×D5) = D207C4φ: C4×D5/Dic5C2 ⊆ Aut C4404C4.3(C4xD5)160,32
C4.4(C4×D5) = Dic53Q8φ: C4×D5/Dic5C2 ⊆ Aut C4160C4.4(C4xD5)160,108
C4.5(C4×D5) = D20.2C4φ: C4×D5/Dic5C2 ⊆ Aut C4804C4.5(C4xD5)160,128
C4.6(C4×D5) = D204C4φ: C4×D5/C20C2 ⊆ Aut C4402C4.6(C4xD5)160,12
C4.7(C4×D5) = C20.44D4φ: C4×D5/C20C2 ⊆ Aut C4160C4.7(C4xD5)160,23
C4.8(C4×D5) = D205C4φ: C4×D5/C20C2 ⊆ Aut C480C4.8(C4xD5)160,28
C4.9(C4×D5) = C4×Dic10φ: C4×D5/C20C2 ⊆ Aut C4160C4.9(C4xD5)160,89
C4.10(C4×D5) = D20.3C4φ: C4×D5/C20C2 ⊆ Aut C4802C4.10(C4xD5)160,122
C4.11(C4×D5) = C10.D8φ: C4×D5/D10C2 ⊆ Aut C4160C4.11(C4xD5)160,14
C4.12(C4×D5) = C20.Q8φ: C4×D5/D10C2 ⊆ Aut C4160C4.12(C4xD5)160,15
C4.13(C4×D5) = C20.53D4φ: C4×D5/D10C2 ⊆ Aut C4804C4.13(C4xD5)160,29
C4.14(C4×D5) = C4⋊C47D5φ: C4×D5/D10C2 ⊆ Aut C480C4.14(C4xD5)160,113
C4.15(C4×D5) = D5×M4(2)φ: C4×D5/D10C2 ⊆ Aut C4404C4.15(C4xD5)160,127
C4.16(C4×D5) = D5×C16central extension (φ=1)802C4.16(C4xD5)160,4
C4.17(C4×D5) = C80⋊C2central extension (φ=1)802C4.17(C4xD5)160,5
C4.18(C4×D5) = C4×C52C8central extension (φ=1)160C4.18(C4xD5)160,9
C4.19(C4×D5) = C42.D5central extension (φ=1)160C4.19(C4xD5)160,10
C4.20(C4×D5) = C8×Dic5central extension (φ=1)160C4.20(C4xD5)160,20
C4.21(C4×D5) = C408C4central extension (φ=1)160C4.21(C4xD5)160,22
C4.22(C4×D5) = C42⋊D5central extension (φ=1)80C4.22(C4xD5)160,93
C4.23(C4×D5) = D5×C2×C8central extension (φ=1)80C4.23(C4xD5)160,120
C4.24(C4×D5) = C2×C8⋊D5central extension (φ=1)80C4.24(C4xD5)160,121

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