Extensions 1→N→G→Q→1 with N=C8 and Q=C50

Direct product G=N×Q with N=C8 and Q=C50
dρLabelID
C2×C200400C2xC200400,23

Semidirect products G=N:Q with N=C8 and Q=C50
extensionφ:Q→Aut NdρLabelID
C8⋊1C50 = D8×C25φ: C50/C25 → C2 ⊆ Aut C82002C8:1C50400,25
C8⋊2C50 = SD16×C25φ: C50/C25 → C2 ⊆ Aut C82002C8:2C50400,26
C8⋊3C50 = M4(2)×C25φ: C50/C25 → C2 ⊆ Aut C82002C8:3C50400,24

Non-split extensions G=N.Q with N=C8 and Q=C50
extensionφ:Q→Aut NdρLabelID
C8.C50 = Q16×C25φ: C50/C25 → C2 ⊆ Aut C84002C8.C50400,27

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁