Extensions 1→N→G→Q→1 with N=C2×C11⋊C5 and Q=C2

Direct product G=N×Q with N=C2×C11⋊C5 and Q=C2
dρLabelID
C22×C11⋊C544C2^2xC11:C5220,8

Semidirect products G=N:Q with N=C2×C11⋊C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C5)⋊C2 = C2×F11φ: C2/C1C2 ⊆ Out C2×C11⋊C52210+(C2xC11:C5):C2220,7

Non-split extensions G=N.Q with N=C2×C11⋊C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C5).C2 = C11⋊C20φ: C2/C1C2 ⊆ Out C2×C11⋊C54410-(C2xC11:C5).C2220,1
(C2×C11⋊C5).2C2 = C4×C11⋊C5φ: trivial image445(C2xC11:C5).2C2220,2

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