Extensions 1→N→G→Q→1 with N=C5 and Q=C22×C22⋊C4

Direct product G=N×Q with N=C5 and Q=C22×C22⋊C4
dρLabelID
C22⋊C4×C2×C10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C5 and Q=C22×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C22×C22⋊C4) = C22×C22⋊F5φ: C22×C22⋊C4/C24C4 ⊆ Aut C580C5:(C2^2xC2^2:C4)320,1607
C52(C22×C22⋊C4) = C2×D5×C22⋊C4φ: C22×C22⋊C4/C2×C22⋊C4C2 ⊆ Aut C580C5:2(C2^2xC2^2:C4)320,1156
C53(C22×C22⋊C4) = C22×D10⋊C4φ: C22×C22⋊C4/C23×C4C2 ⊆ Aut C5160C5:3(C2^2xC2^2:C4)320,1459
C54(C22×C22⋊C4) = C22×C23.D5φ: C22×C22⋊C4/C25C2 ⊆ Aut C5160C5:4(C2^2xC2^2:C4)320,1511


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