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Extensions 1→N→G→Q→1 with N=C5 and Q=C24.C22

Direct product G=N×Q with N=C5 and Q=C24.C22
dρLabelID
C5×C24.C22160C5xC2^4.C2^2320,889

Semidirect products G=N:Q with N=C5 and Q=C24.C22
extensionφ:Q→Aut NdρLabelID
C5⋊(C24.C22) = C10.(C4×D4)φ: C24.C22/C22⋊C4 → C4 ⊆ Aut C580C5:(C2^4.C2^2)320,1038
C5⋊2(C24.C22) = C10.54(C4×D4)φ: C24.C22/C2.C42 → C2 ⊆ Aut C5160C5:2(C2^4.C2^2)320,296
C5⋊3(C24.C22) = C10.55(C4×D4)φ: C24.C22/C2.C42 → C2 ⊆ Aut C5160C5:3(C2^4.C2^2)320,297
C5⋊4(C24.C22) = (C2×C42)⋊D5φ: C24.C22/C2×C42 → C2 ⊆ Aut C5160C5:4(C2^4.C2^2)320,567
C5⋊5(C24.C22) = C24.3D10φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:5(C2^4.C2^2)320,571
C5⋊6(C24.C22) = C24.4D10φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:6(C2^4.C2^2)320,572
C5⋊7(C24.C22) = C24.8D10φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:7(C2^4.C2^2)320,578
C5⋊8(C24.C22) = C10.90(C4×D4)φ: C24.C22/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:8(C2^4.C2^2)320,617


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