Extensions 1→N→G→Q→1 with N=C5 and Q=C23.10D4

Direct product G=N×Q with N=C5 and Q=C23.10D4
dρLabelID
C5×C23.10D4160C5xC2^3.10D4320,895

Semidirect products G=N:Q with N=C5 and Q=C23.10D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C23.10D4) = (C2×Dic5)⋊3D4φ: C23.10D4/C2.C42 → C2 ⊆ Aut C5160C5:1(C2^3.10D4)320,299
C5⋊2(C23.10D4) = C24.14D10φ: C23.10D4/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:2(C2^3.10D4)320,586
C5⋊3(C23.10D4) = C24.16D10φ: C23.10D4/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:3(C2^3.10D4)320,588
C5⋊4(C23.10D4) = (C2×C4)⋊3D20φ: C23.10D4/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:4(C2^3.10D4)320,618
C5⋊5(C23.10D4) = C24.20D10φ: C23.10D4/C22×D4 → C2 ⊆ Aut C5160C5:5(C2^3.10D4)320,849


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