Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C10

Direct product G=N×Q with N=C4 and Q=Q8×C10
dρLabelID
Q8×C2×C20320Q8xC2xC20320,1518

Semidirect products G=N:Q with N=C4 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C41(Q8×C10) = C10×C4⋊Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4:1(Q8xC10)320,1533
C42(Q8×C10) = C5×D4×Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4160C4:2(Q8xC10)320,1551

Non-split extensions G=N.Q with N=C4 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C4.1(Q8×C10) = C10×C4.Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.1(Q8xC10)320,926
C4.2(Q8×C10) = C10×C2.D8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.2(Q8xC10)320,927
C4.3(Q8×C10) = C5×C23.25D4φ: Q8×C10/C2×C20C2 ⊆ Aut C4160C4.3(Q8xC10)320,928
C4.4(Q8×C10) = C5×M4(2)⋊C4φ: Q8×C10/C2×C20C2 ⊆ Aut C4160C4.4(Q8xC10)320,929
C4.5(Q8×C10) = C5×C83Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.5(Q8xC10)320,999
C4.6(Q8×C10) = C5×C8.5Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.6(Q8xC10)320,1000
C4.7(Q8×C10) = C5×C82Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.7(Q8xC10)320,1001
C4.8(Q8×C10) = C5×C8⋊Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.8(Q8xC10)320,1002
C4.9(Q8×C10) = C10×C42.C2φ: Q8×C10/C2×C20C2 ⊆ Aut C4320C4.9(Q8xC10)320,1529
C4.10(Q8×C10) = C5×C23.37C23φ: Q8×C10/C2×C20C2 ⊆ Aut C4160C4.10(Q8xC10)320,1535
C4.11(Q8×C10) = C5×C23.41C23φ: Q8×C10/C2×C20C2 ⊆ Aut C4160C4.11(Q8xC10)320,1546
C4.12(Q8×C10) = C5×D4⋊Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4160C4.12(Q8xC10)320,975
C4.13(Q8×C10) = C5×Q8⋊Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4320C4.13(Q8xC10)320,976
C4.14(Q8×C10) = C5×D42Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4160C4.14(Q8xC10)320,977
C4.15(Q8×C10) = C5×C4.Q16φ: Q8×C10/C5×Q8C2 ⊆ Aut C4320C4.15(Q8xC10)320,978
C4.16(Q8×C10) = C5×D4.Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4160C4.16(Q8xC10)320,979
C4.17(Q8×C10) = C5×Q8.Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4320C4.17(Q8xC10)320,980
C4.18(Q8×C10) = C5×D43Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4160C4.18(Q8xC10)320,1556
C4.19(Q8×C10) = C5×Q83Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C4320C4.19(Q8xC10)320,1559
C4.20(Q8×C10) = C5×Q82φ: Q8×C10/C5×Q8C2 ⊆ Aut C4320C4.20(Q8xC10)320,1560
C4.21(Q8×C10) = C10×C4⋊C8central extension (φ=1)320C4.21(Q8xC10)320,923
C4.22(Q8×C10) = C5×C4⋊M4(2)central extension (φ=1)160C4.22(Q8xC10)320,924
C4.23(Q8×C10) = C5×C42.6C22central extension (φ=1)160C4.23(Q8xC10)320,925
C4.24(Q8×C10) = Q8×C40central extension (φ=1)320C4.24(Q8xC10)320,946
C4.25(Q8×C10) = C5×C84Q8central extension (φ=1)320C4.25(Q8xC10)320,947

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