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

Direct product G=N×Q with N=C5 and Q=C22×C4⋊C4
dρLabelID
C4⋊C4×C2×C10320C4:C4xC2xC10320,1515

Semidirect products G=N:Q with N=C5 and Q=C22×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C22×C4⋊C4) = C22×C4⋊F5φ: C22×C4⋊C4/C22×C4C4 ⊆ Aut C580C5:(C2^2xC4:C4)320,1591
C52(C22×C4⋊C4) = C2×D5×C4⋊C4φ: C22×C4⋊C4/C2×C4⋊C4C2 ⊆ Aut C5160C5:2(C2^2xC4:C4)320,1173
C53(C22×C4⋊C4) = C22×C10.D4φ: C22×C4⋊C4/C23×C4C2 ⊆ Aut C5320C5:3(C2^2xC4:C4)320,1455
C54(C22×C4⋊C4) = C22×C4⋊Dic5φ: C22×C4⋊C4/C23×C4C2 ⊆ Aut C5320C5:4(C2^2xC4:C4)320,1457


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