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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C4⋊C4

Direct product G=N×Q with N=C4 and Q=C5×C4⋊C4
dρLabelID
C4⋊C4×C20320C4:C4xC20320,879

Semidirect products G=N:Q with N=C4 and Q=C5×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C5×C4⋊C4) = C5×C42⋊9C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4:1(C5xC4:C4)320,885
C4⋊2(C5×C4⋊C4) = C5×C23.65C23φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4:2(C5xC4:C4)320,890

Non-split extensions G=N.Q with N=C4 and Q=C5×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C5×C4⋊C4) = C5×C4.9C42φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.1(C5xC4:C4)320,142
C4.2(C5×C4⋊C4) = C5×C42⋊6C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C480C4.2(C5xC4:C4)320,144
C4.3(C5×C4⋊C4) = C5×C22.4Q16φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.3(C5xC4:C4)320,145
C4.4(C5×C4⋊C4) = C5×C22.C42φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.4(C5xC4:C4)320,148
C4.5(C5×C4⋊C4) = C5×M4(2)⋊4C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.5(C5xC4:C4)320,149
C4.6(C5×C4⋊C4) = C5×C8.Q8φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.6(C5xC4:C4)320,170
C4.7(C5×C4⋊C4) = C5×C16⋊3C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.7(C5xC4:C4)320,171
C4.8(C5×C4⋊C4) = C5×C16⋊4C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.8(C5xC4:C4)320,172
C4.9(C5×C4⋊C4) = C5×C8.4Q8φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C41602C4.9(C5xC4:C4)320,173
C4.10(C5×C4⋊C4) = C5×C42⋊8C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.10(C5xC4:C4)320,883
C4.11(C5×C4⋊C4) = C5×C4⋊M4(2)φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.11(C5xC4:C4)320,924
C4.12(C5×C4⋊C4) = C5×C42.6C22φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.12(C5xC4:C4)320,925
C4.13(C5×C4⋊C4) = C10×C4.Q8φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.13(C5xC4:C4)320,926
C4.14(C5×C4⋊C4) = C10×C2.D8φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.14(C5xC4:C4)320,927
C4.15(C5×C4⋊C4) = C5×M4(2)⋊C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.15(C5xC4:C4)320,929
C4.16(C5×C4⋊C4) = C5×M4(2).C4φ: C5×C4⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.16(C5xC4:C4)320,931
C4.17(C5×C4⋊C4) = C5×C22.7C42central extension (φ=1)320C4.17(C5xC4:C4)320,141
C4.18(C5×C4⋊C4) = C5×C4⋊C16central extension (φ=1)320C4.18(C5xC4:C4)320,168
C4.19(C5×C4⋊C4) = C5×C8.C8central extension (φ=1)802C4.19(C5xC4:C4)320,169
C4.20(C5×C4⋊C4) = C10×C4⋊C8central extension (φ=1)320C4.20(C5xC4:C4)320,923
C4.21(C5×C4⋊C4) = C5×C23.25D4central extension (φ=1)160C4.21(C5xC4:C4)320,928
C4.22(C5×C4⋊C4) = C10×C8.C4central extension (φ=1)160C4.22(C5xC4:C4)320,930

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