Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C22

Direct product G=N×Q with N=C2×C10 and Q=C22
dρLabelID
C22×C110440C2^2xC110440,51

Semidirect products G=N:Q with N=C2×C10 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1C22 = D4×C55φ: C22/C11C2 ⊆ Aut C2×C102202(C2xC10):1C22440,40
(C2×C10)⋊2C22 = C11×C5⋊D4φ: C22/C11C2 ⊆ Aut C2×C102202(C2xC10):2C22440,33
(C2×C10)⋊3C22 = D5×C2×C22φ: C22/C11C2 ⊆ Aut C2×C10220(C2xC10):3C22440,49

Non-split extensions G=N.Q with N=C2×C10 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C10).C22 = Dic5×C22φ: C22/C11C2 ⊆ Aut C2×C10440(C2xC10).C22440,32

׿
×
𝔽