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

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

Semidirect products G=N:Q with N=C2×C11⋊C5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C5)⋊C22 = C22×F11φ: C22/C2C2 ⊆ Out C2×C11⋊C544(C2xC11:C5):C2^2440,42

Non-split extensions G=N.Q with N=C2×C11⋊C5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C11⋊C5).1C22 = C4.F11φ: C22/C2C2 ⊆ Out C2×C11⋊C58810-(C2xC11:C5).1C2^2440,7
(C2×C11⋊C5).2C22 = C4×F11φ: C22/C2C2 ⊆ Out C2×C11⋊C54410(C2xC11:C5).2C2^2440,8
(C2×C11⋊C5).3C22 = D44⋊C5φ: C22/C2C2 ⊆ Out C2×C11⋊C54410+(C2xC11:C5).3C2^2440,9
(C2×C11⋊C5).4C22 = C2×C11⋊C20φ: C22/C2C2 ⊆ Out C2×C11⋊C588(C2xC11:C5).4C2^2440,10
(C2×C11⋊C5).5C22 = C22⋊F11φ: C22/C2C2 ⊆ Out C2×C11⋊C54410(C2xC11:C5).5C2^2440,11
(C2×C11⋊C5).6C22 = C2×C4×C11⋊C5φ: trivial image88(C2xC11:C5).6C2^2440,12
(C2×C11⋊C5).7C22 = D4×C11⋊C5φ: trivial image4410(C2xC11:C5).7C2^2440,13
(C2×C11⋊C5).8C22 = Q8×C11⋊C5φ: trivial image8810(C2xC11:C5).8C2^2440,14

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