Extensions 1→N→G→Q→1 with N=C5×C5⋊C8 and Q=C2

Direct product G=N×Q with N=C5×C5⋊C8 and Q=C2
dρLabelID
C10×C5⋊C880C10xC5:C8400,139

Semidirect products G=N:Q with N=C5×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C5⋊C8)⋊1C2 = D5×C5⋊C8φ: C2/C1C2 ⊆ Out C5×C5⋊C8808-(C5xC5:C8):1C2400,120
(C5×C5⋊C8)⋊2C2 = Dic5.4F5φ: C2/C1C2 ⊆ Out C5×C5⋊C8408+(C5xC5:C8):2C2400,121
(C5×C5⋊C8)⋊3C2 = D10.F5φ: C2/C1C2 ⊆ Out C5×C5⋊C8808-(C5xC5:C8):3C2400,122
(C5×C5⋊C8)⋊4C2 = Dic5.F5φ: C2/C1C2 ⊆ Out C5×C5⋊C8408+(C5xC5:C8):4C2400,123
(C5×C5⋊C8)⋊5C2 = C5×C4.F5φ: C2/C1C2 ⊆ Out C5×C5⋊C8804(C5xC5:C8):5C2400,136
(C5×C5⋊C8)⋊6C2 = C5×C22.F5φ: C2/C1C2 ⊆ Out C5×C5⋊C8404(C5xC5:C8):6C2400,140
(C5×C5⋊C8)⋊7C2 = C5×D5⋊C8φ: trivial image804(C5xC5:C8):7C2400,135


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