Extensions 1→N→G→Q→1 with N=C4≀C2 and Q=C10

Direct product G=N×Q with N=C4≀C2 and Q=C10
dρLabelID
C10×C4≀C280C10xC4wrC2320,921

Semidirect products G=N:Q with N=C4≀C2 and Q=C10
extensionφ:Q→Out NdρLabelID
C4≀C21C10 = C5×D44D4φ: C10/C5C2 ⊆ Out C4≀C2404C4wrC2:1C10320,954
C4≀C22C10 = C5×D4.8D4φ: C10/C5C2 ⊆ Out C4≀C2804C4wrC2:2C10320,955
C4≀C23C10 = C5×D4.9D4φ: C10/C5C2 ⊆ Out C4≀C2804C4wrC2:3C10320,956
C4≀C24C10 = C5×D4.10D4φ: C10/C5C2 ⊆ Out C4≀C2804C4wrC2:4C10320,957
C4≀C25C10 = C5×C42⋊C22φ: C10/C5C2 ⊆ Out C4≀C2804C4wrC2:5C10320,922
C4≀C26C10 = C5×C8.26D4φ: C10/C5C2 ⊆ Out C4≀C2804C4wrC2:6C10320,945
C4≀C27C10 = C5×C8○D8φ: trivial image802C4wrC2:7C10320,944


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