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Extensions 1→N→G→Q→1 with N=C5×C4.10D4 and Q=C2

Direct product G=N×Q with N=C5×C4.10D4 and Q=C2
dρLabelID
C10×C4.10D4160C10xC4.10D4320,913

Semidirect products G=N:Q with N=C5×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.10D4)⋊1C2 = D20.6D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808+(C5xC4.10D4):1C2320,381
(C5×C4.10D4)⋊2C2 = D20.7D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D41608-(C5xC4.10D4):2C2320,382
(C5×C4.10D4)⋊3C2 = D20.4D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808-(C5xC4.10D4):3C2320,379
(C5×C4.10D4)⋊4C2 = D20.5D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808+(C5xC4.10D4):4C2320,380
(C5×C4.10D4)⋊5C2 = D5×C4.10D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808-(C5xC4.10D4):5C2320,377
(C5×C4.10D4)⋊6C2 = M4(2).21D10φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808+(C5xC4.10D4):6C2320,378
(C5×C4.10D4)⋊7C2 = C5×D4.8D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4804(C5xC4.10D4):7C2320,955
(C5×C4.10D4)⋊8C2 = C5×D4.10D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4804(C5xC4.10D4):8C2320,957
(C5×C4.10D4)⋊9C2 = C5×D4.3D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4804(C5xC4.10D4):9C2320,972
(C5×C4.10D4)⋊10C2 = C5×D4.5D4φ: C2/C1 → C2 ⊆ Out C5×C4.10D41604(C5xC4.10D4):10C2320,974
(C5×C4.10D4)⋊11C2 = (C2×C4).D20φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808+(C5xC4.10D4):11C2320,35
(C5×C4.10D4)⋊12C2 = C5×C42.C4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4804(C5xC4.10D4):12C2320,160
(C5×C4.10D4)⋊13C2 = C5×M4(2).8C22φ: trivial image804(C5xC4.10D4):13C2320,914

Non-split extensions G=N.Q with N=C5×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.10D4).1C2 = (C2×Q8).D10φ: C2/C1 → C2 ⊆ Out C5×C4.10D4808-(C5xC4.10D4).1C2320,36
(C5×C4.10D4).2C2 = C5×C42.3C4φ: C2/C1 → C2 ⊆ Out C5×C4.10D4804(C5xC4.10D4).2C2320,161

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