Extensions 1→N→G→Q→1 with N=C5⋊C16 and Q=C4

Direct product G=N×Q with N=C5⋊C16 and Q=C4
dρLabelID
C4×C5⋊C16320C4xC5:C16320,195

Semidirect products G=N:Q with N=C5⋊C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C5⋊C16⋊1C4 = C16⋊F5φ: C4/C1 → C4 ⊆ Out C5⋊C16804C5:C16:1C4320,183
C5⋊C16⋊2C4 = C16⋊4F5φ: C4/C1 → C4 ⊆ Out C5⋊C16804C5:C16:2C4320,184
C5⋊C16⋊3C4 = C42.3F5φ: C4/C1 → C4 ⊆ Out C5⋊C16804C5:C16:3C4320,198
C5⋊C16⋊4C4 = C20.23C42φ: C4/C1 → C4 ⊆ Out C5⋊C16804C5:C16:4C4320,228
C5⋊C16⋊5C4 = C16⋊7F5φ: C4/C2 → C2 ⊆ Out C5⋊C16804C5:C16:5C4320,182
C5⋊C16⋊6C4 = C42.4F5φ: C4/C2 → C2 ⊆ Out C5⋊C16320C5:C16:6C4320,197
C5⋊C16⋊7C4 = C40.C8φ: C4/C2 → C2 ⊆ Out C5⋊C16320C5:C16:7C4320,224
C5⋊C16⋊8C4 = C16×F5φ: trivial image804C5:C16:8C4320,181
C5⋊C16⋊9C4 = Dic5⋊C16φ: trivial image320C5:C16:9C4320,223


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