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Extensions 1→N→G→Q→1 with N=C2×C5⋊D4 and Q=C2

Direct product G=N×Q with N=C2×C5⋊D4 and Q=C2
dρLabelID
C22×C5⋊D480C2^2xC5:D4160,227

Semidirect products G=N:Q with N=C2×C5⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4)⋊1C2 = C22⋊D20φ: C2/C1 → C2 ⊆ Out C2×C5⋊D440(C2xC5:D4):1C2160,103
(C2×C5⋊D4)⋊2C2 = D10⋊D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):2C2160,105
(C2×C5⋊D4)⋊3C2 = C20⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):3C2160,151
(C2×C5⋊D4)⋊4C2 = C23⋊D10φ: C2/C1 → C2 ⊆ Out C2×C5⋊D440(C2xC5:D4):4C2160,158
(C2×C5⋊D4)⋊5C2 = C20⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):5C2160,159
(C2×C5⋊D4)⋊6C2 = Dic5⋊D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):6C2160,160
(C2×C5⋊D4)⋊7C2 = C20⋊D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):7C2160,161
(C2×C5⋊D4)⋊8C2 = C24⋊2D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊D440(C2xC5:D4):8C2160,174
(C2×C5⋊D4)⋊9C2 = C2×D4×D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊D440(C2xC5:D4):9C2160,217
(C2×C5⋊D4)⋊10C2 = C2×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):10C2160,218
(C2×C5⋊D4)⋊11C2 = D4⋊6D10φ: C2/C1 → C2 ⊆ Out C2×C5⋊D4404(C2xC5:D4):11C2160,219
(C2×C5⋊D4)⋊12C2 = C2×C4○D20φ: trivial image80(C2xC5:D4):12C2160,216

Non-split extensions G=N.Q with N=C2×C5⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4).1C2 = C23.1D10φ: C2/C1 → C2 ⊆ Out C2×C5⋊D4404(C2xC5:D4).1C2160,13
(C2×C5⋊D4).2C2 = Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).2C2160,102
(C2×C5⋊D4).3C2 = D10.12D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).3C2160,104
(C2×C5⋊D4).4C2 = Dic5.5D4φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).4C2160,106
(C2×C5⋊D4).5C2 = C22.D20φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).5C2160,107
(C2×C5⋊D4).6C2 = C23.23D10φ: C2/C1 → C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).6C2160,150
(C2×C5⋊D4).7C2 = C23⋊F5φ: C2/C1 → C2 ⊆ Out C2×C5⋊D4404(C2xC5:D4).7C2160,86
(C2×C5⋊D4).8C2 = C23.F5φ: C2/C1 → C2 ⊆ Out C2×C5⋊D4404(C2xC5:D4).8C2160,88
(C2×C5⋊D4).9C2 = C4×C5⋊D4φ: trivial image80(C2xC5:D4).9C2160,149

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