Extensions 1→N→G→Q→1 with N=C2×C52⋊6C4 and Q=C2

Direct product G=N×Q with N=C2×C52⋊6C4 and Q=C2
dρLabelID
C22×C52⋊6C4400C2^2xC5^2:6C4400,199

Semidirect products G=N:Q with N=C2×C52⋊6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C52⋊6C4)⋊1C2 = D10⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4):1C2400,72
(C2×C52⋊6C4)⋊2C2 = C10.11D20φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4200(C2xC5^2:6C4):2C2400,102
(C2×C52⋊6C4)⋊3C2 = C102⋊11C4φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4200(C2xC5^2:6C4):3C2400,107
(C2×C52⋊6C4)⋊4C2 = C2×D5×Dic5φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4):4C2400,172
(C2×C52⋊6C4)⋊5C2 = D10.4D10φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4404-(C2xC5^2:6C4):5C2400,174
(C2×C52⋊6C4)⋊6C2 = C2×C52⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4):6C2400,176
(C2×C52⋊6C4)⋊7C2 = C20.D10φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4200(C2xC5^2:6C4):7C2400,196
(C2×C52⋊6C4)⋊8C2 = C2×C52⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4200(C2xC5^2:6C4):8C2400,200
(C2×C52⋊6C4)⋊9C2 = C2×C4×C5⋊D5φ: trivial image200(C2xC5^2:6C4):9C2400,192

Non-split extensions G=N.Q with N=C2×C52⋊6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C52⋊6C4).1C2 = Dic52φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4).1C2400,71
(C2×C52⋊6C4).2C2 = Dic5⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4).2C2400,74
(C2×C52⋊6C4).3C2 = C10.Dic10φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4).3C2400,75
(C2×C52⋊6C4).4C2 = C102.22C22φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4400(C2xC5^2:6C4).4C2400,100
(C2×C52⋊6C4).5C2 = C20⋊3Dic5φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4400(C2xC5^2:6C4).5C2400,101
(C2×C52⋊6C4).6C2 = C2×C52⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4).6C2400,178
(C2×C52⋊6C4).7C2 = C2×C52⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4400(C2xC5^2:6C4).7C2400,191
(C2×C52⋊6C4).8C2 = C2×C52⋊4C8φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4400(C2xC5^2:6C4).8C2400,153
(C2×C52⋊6C4).9C2 = C52⋊13M4(2)φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4200(C2xC5^2:6C4).9C2400,154
(C2×C52⋊6C4).10C2 = C2×C52⋊5C8φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C480(C2xC5^2:6C4).10C2400,160
(C2×C52⋊6C4).11C2 = C52⋊14M4(2)φ: C2/C1 → C2 ⊆ Out C2×C52⋊6C4404-(C2xC5^2:6C4).11C2400,161
(C2×C52⋊6C4).12C2 = C4×C52⋊6C4φ: trivial image400(C2xC5^2:6C4).12C2400,99

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