Extensions 1→N→G→Q→1 with N=C5×Q32 and Q=C2

Direct product G=N×Q with N=C5×Q32 and Q=C2
dρLabelID
C10×Q32320C10xQ32320,1008

Semidirect products G=N:Q with N=C5×Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q32)⋊1C2 = C5⋊SD64φ: C2/C1C2 ⊆ Out C5×Q321604+(C5xQ32):1C2320,79
(C5×Q32)⋊2C2 = D5×Q32φ: C2/C1C2 ⊆ Out C5×Q321604-(C5xQ32):2C2320,544
(C5×Q32)⋊3C2 = D805C2φ: C2/C1C2 ⊆ Out C5×Q321604+(C5xQ32):3C2320,546
(C5×Q32)⋊4C2 = Q32⋊D5φ: C2/C1C2 ⊆ Out C5×Q321604(C5xQ32):4C2320,545
(C5×Q32)⋊5C2 = C5×SD64φ: C2/C1C2 ⊆ Out C5×Q321602(C5xQ32):5C2320,177
(C5×Q32)⋊6C2 = C5×Q32⋊C2φ: C2/C1C2 ⊆ Out C5×Q321604(C5xQ32):6C2320,1011
(C5×Q32)⋊7C2 = C5×C4○D16φ: trivial image1602(C5xQ32):7C2320,1009

Non-split extensions G=N.Q with N=C5×Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q32).1C2 = C5⋊Q64φ: C2/C1C2 ⊆ Out C5×Q323204-(C5xQ32).1C2320,80
(C5×Q32).2C2 = C5×Q64φ: C2/C1C2 ⊆ Out C5×Q323202(C5xQ32).2C2320,178

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