Extensions 1→N→G→Q→1 with N=C2×C52⋊C4 and Q=C2

Direct product G=N×Q with N=C2×C52⋊C4 and Q=C2
dρLabelID
C22×C52⋊C440C2^2xC5^2:C4400,217

Semidirect products G=N:Q with N=C2×C52⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C52⋊C4)⋊1C2 = D10⋊F5φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4):1C2400,125
(C2×C52⋊C4)⋊2C2 = D52⋊C4φ: C2/C1C2 ⊆ Out C2×C52⋊C4204+(C2xC5^2:C4):2C2400,129
(C2×C52⋊C4)⋊3C2 = C1024C4φ: C2/C1C2 ⊆ Out C2×C52⋊C4204+(C2xC5^2:C4):3C2400,162
(C2×C52⋊C4)⋊4C2 = C2×D5⋊F5φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4):4C2400,210
(C2×C52⋊C4)⋊5C2 = C2×D5≀C2φ: C2/C1C2 ⊆ Out C2×C52⋊C4204+(C2xC5^2:C4):5C2400,211

Non-split extensions G=N.Q with N=C2×C52⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C52⋊C4).1C2 = C523C42φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4).1C2400,124
(C2×C52⋊C4).2C2 = Dic5⋊F5φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4).2C2400,126
(C2×C52⋊C4).3C2 = C2.D5≀C2φ: C2/C1C2 ⊆ Out C2×C52⋊C4204(C2xC5^2:C4).3C2400,130
(C2×C52⋊C4).4C2 = (C5×C10).Q8φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4).4C2400,134
(C2×C52⋊C4).5C2 = C202F5φ: C2/C1C2 ⊆ Out C2×C52⋊C4404(C2xC5^2:C4).5C2400,159
(C2×C52⋊C4).6C2 = C2×C52⋊Q8φ: C2/C1C2 ⊆ Out C2×C52⋊C4208+(C2xC5^2:C4).6C2400,212
(C2×C52⋊C4).7C2 = C4×C52⋊C4φ: trivial image404(C2xC5^2:C4).7C2400,158

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