Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C10

Direct product G=N×Q with N=C22 and Q=Q8×C10
dρLabelID
Q8×C22×C10320Q8xC2^2xC10320,1630

Semidirect products G=N:Q with N=C22 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C221(Q8×C10) = C10×C22⋊Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C22160C2^2:1(Q8xC10)320,1525
C222(Q8×C10) = C5×D4×Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C22160C2^2:2(Q8xC10)320,1551

Non-split extensions G=N.Q with N=C22 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C22.1(Q8×C10) = C10×C8.C4φ: Q8×C10/C2×C20C2 ⊆ Aut C22160C2^2.1(Q8xC10)320,930
C22.2(Q8×C10) = C5×M4(2).C4φ: Q8×C10/C2×C20C2 ⊆ Aut C22804C2^2.2(Q8xC10)320,931
C22.3(Q8×C10) = C5×C23.37C23φ: Q8×C10/C2×C20C2 ⊆ Aut C22160C2^2.3(Q8xC10)320,1535
C22.4(Q8×C10) = C5×C232Q8φ: Q8×C10/C2×C20C2 ⊆ Aut C2280C2^2.4(Q8xC10)320,1545
C22.5(Q8×C10) = C5×C23.41C23φ: Q8×C10/C2×C20C2 ⊆ Aut C22160C2^2.5(Q8xC10)320,1546
C22.6(Q8×C10) = C5×D43Q8φ: Q8×C10/C5×Q8C2 ⊆ Aut C22160C2^2.6(Q8xC10)320,1556
C22.7(Q8×C10) = C10×C2.C42central extension (φ=1)320C2^2.7(Q8xC10)320,876
C22.8(Q8×C10) = C4⋊C4×C20central extension (φ=1)320C2^2.8(Q8xC10)320,879
C22.9(Q8×C10) = C5×C23.7Q8central extension (φ=1)160C2^2.9(Q8xC10)320,881
C22.10(Q8×C10) = C5×C428C4central extension (φ=1)320C2^2.10(Q8xC10)320,883
C22.11(Q8×C10) = C5×C429C4central extension (φ=1)320C2^2.11(Q8xC10)320,885
C22.12(Q8×C10) = C5×C23.8Q8central extension (φ=1)160C2^2.12(Q8xC10)320,886
C22.13(Q8×C10) = C5×C23.63C23central extension (φ=1)320C2^2.13(Q8xC10)320,888
C22.14(Q8×C10) = C5×C23.65C23central extension (φ=1)320C2^2.14(Q8xC10)320,890
C22.15(Q8×C10) = C5×C23.67C23central extension (φ=1)320C2^2.15(Q8xC10)320,892
C22.16(Q8×C10) = C4⋊C4×C2×C10central extension (φ=1)320C2^2.16(Q8xC10)320,1515
C22.17(Q8×C10) = Q8×C2×C20central extension (φ=1)320C2^2.17(Q8xC10)320,1518
C22.18(Q8×C10) = C10×C42.C2central extension (φ=1)320C2^2.18(Q8xC10)320,1529
C22.19(Q8×C10) = C10×C4⋊Q8central extension (φ=1)320C2^2.19(Q8xC10)320,1533
C22.20(Q8×C10) = C5×C23⋊Q8central stem extension (φ=1)160C2^2.20(Q8xC10)320,894
C22.21(Q8×C10) = C5×C23.78C23central stem extension (φ=1)320C2^2.21(Q8xC10)320,896
C22.22(Q8×C10) = C5×C23.Q8central stem extension (φ=1)160C2^2.22(Q8xC10)320,897
C22.23(Q8×C10) = C5×C23.81C23central stem extension (φ=1)320C2^2.23(Q8xC10)320,899
C22.24(Q8×C10) = C5×C23.4Q8central stem extension (φ=1)160C2^2.24(Q8xC10)320,900
C22.25(Q8×C10) = C5×C23.83C23central stem extension (φ=1)320C2^2.25(Q8xC10)320,901

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