Extensions 1→N→G→Q→1 with N=C7 and Q=C5×D4

Direct product G=N×Q with N=C7 and Q=C5×D4
dρLabelID
D4×C351402D4xC35280,30

Semidirect products G=N:Q with N=C7 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C5×D4) = C5×D28φ: C5×D4/C20 → C2 ⊆ Aut C71402C7:1(C5xD4)280,16
C7⋊2(C5×D4) = C5×C7⋊D4φ: C5×D4/C2×C10 → C2 ⊆ Aut C71402C7:2(C5xD4)280,18


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁