Extensions 1→N→G→Q→1 with N=C22×C11⋊C5 and Q=C2

Direct product G=N×Q with N=C22×C11⋊C5 and Q=C2
dρLabelID
C23×C11⋊C588C2^3xC11:C5440,44

Semidirect products G=N:Q with N=C22×C11⋊C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C11⋊C5)⋊1C2 = C22⋊F11φ: C2/C1C2 ⊆ Out C22×C11⋊C54410(C2^2xC11:C5):1C2440,11
(C22×C11⋊C5)⋊2C2 = C22×F11φ: C2/C1C2 ⊆ Out C22×C11⋊C544(C2^2xC11:C5):2C2440,42
(C22×C11⋊C5)⋊3C2 = D4×C11⋊C5φ: C2/C1C2 ⊆ Out C22×C11⋊C54410(C2^2xC11:C5):3C2440,13

Non-split extensions G=N.Q with N=C22×C11⋊C5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C11⋊C5).C2 = C2×C11⋊C20φ: C2/C1C2 ⊆ Out C22×C11⋊C588(C2^2xC11:C5).C2440,10
(C22×C11⋊C5).2C2 = C2×C4×C11⋊C5φ: trivial image88(C2^2xC11:C5).2C2440,12

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