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Extensions 1→N→G→Q→1 with N=C5×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C5×C22⋊C4 and Q=C2
dρLabelID
C10×C22⋊C480C10xC2^2:C4160,176

Semidirect products G=N:Q with N=C5×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4)⋊1C2 = C23.1D10φ: C2/C1 → C2 ⊆ Out C5×C22⋊C4404(C5xC2^2:C4):1C2160,13
(C5×C22⋊C4)⋊2C2 = C5×C23⋊C4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C4404(C5xC2^2:C4):2C2160,49
(C5×C22⋊C4)⋊3C2 = C22⋊D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C440(C5xC2^2:C4):3C2160,103
(C5×C22⋊C4)⋊4C2 = C22.D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):4C2160,107
(C5×C22⋊C4)⋊5C2 = D10.12D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):5C2160,104
(C5×C22⋊C4)⋊6C2 = D10⋊D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):6C2160,105
(C5×C22⋊C4)⋊7C2 = Dic5.5D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):7C2160,106
(C5×C22⋊C4)⋊8C2 = D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C440(C5xC2^2:C4):8C2160,101
(C5×C22⋊C4)⋊9C2 = Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):9C2160,102
(C5×C22⋊C4)⋊10C2 = C5×C22≀C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊C440(C5xC2^2:C4):10C2160,181
(C5×C22⋊C4)⋊11C2 = C5×C4⋊D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):11C2160,182
(C5×C22⋊C4)⋊12C2 = C5×C22.D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):12C2160,184
(C5×C22⋊C4)⋊13C2 = C5×C4.4D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4):13C2160,185
(C5×C22⋊C4)⋊14C2 = D4×C20φ: trivial image80(C5xC2^2:C4):14C2160,179

Non-split extensions G=N.Q with N=C5×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4).1C2 = Dic5.14D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4).1C2160,99
(C5×C22⋊C4).2C2 = C23.D10φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4).2C2160,100
(C5×C22⋊C4).3C2 = C23.11D10φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4).3C2160,98
(C5×C22⋊C4).4C2 = C5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4).4C2160,183
(C5×C22⋊C4).5C2 = C5×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊C480(C5xC2^2:C4).5C2160,187
(C5×C22⋊C4).6C2 = C5×C42⋊C2φ: trivial image80(C5xC2^2:C4).6C2160,178

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