Extensions 1→N→G→Q→1 with N=C5 and Q=C2.Q32

Direct product G=N×Q with N=C5 and Q=C2.Q32
dρLabelID
C5×C2.Q32320C5xC2.Q32320,163

Semidirect products G=N:Q with N=C5 and Q=C2.Q32
extensionφ:Q→Aut NdρLabelID
C5⋊(C2.Q32) = D5.Q32φ: C2.Q32/Q16 → C4 ⊆ Aut C5808-C5:(C2.Q32)320,246
C5⋊2(C2.Q32) = C10.Q32φ: C2.Q32/C2.D8 → C2 ⊆ Aut C5320C5:2(C2.Q32)320,50
C5⋊3(C2.Q32) = C40.78D4φ: C2.Q32/C2×C16 → C2 ⊆ Aut C5320C5:3(C2.Q32)320,61
C5⋊4(C2.Q32) = C40.15D4φ: C2.Q32/C2×Q16 → C2 ⊆ Aut C5320C5:4(C2.Q32)320,122


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁