extension | φ:Q→Out N | d | ρ | Label | ID |
M4(2)⋊1D4 = C42⋊9D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 16 | | M4(2):1D4 | 128,734 |
M4(2)⋊2D4 = C42⋊10D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2):2D4 | 128,736 |
M4(2)⋊3D4 = M4(2)⋊D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2):3D4 | 128,738 |
M4(2)⋊4D4 = M4(2)⋊4D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2):4D4 | 128,739 |
M4(2)⋊5D4 = M4(2)⋊5D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 16 | 8+ | M4(2):5D4 | 128,740 |
M4(2)⋊6D4 = M4(2)⋊6D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2):6D4 | 128,769 |
M4(2)⋊7D4 = M4(2)⋊7D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):7D4 | 128,1883 |
M4(2)⋊8D4 = M4(2)⋊8D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | | M4(2):8D4 | 128,1884 |
M4(2)⋊9D4 = M4(2)⋊9D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):9D4 | 128,1885 |
M4(2)⋊10D4 = M4(2)⋊10D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):10D4 | 128,1886 |
M4(2)⋊11D4 = M4(2)⋊11D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):11D4 | 128,1887 |
M4(2)⋊12D4 = M4(2)⋊12D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):12D4 | 128,697 |
M4(2)⋊13D4 = M4(2)⋊13D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2):13D4 | 128,712 |
M4(2)⋊14D4 = M4(2)⋊14D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2):14D4 | 128,1787 |
M4(2)⋊15D4 = M4(2)⋊15D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2):15D4 | 128,1788 |
M4(2)⋊16D4 = M4(2)⋊16D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2):16D4 | 128,1794 |
M4(2)⋊17D4 = M4(2)⋊17D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 64 | | M4(2):17D4 | 128,1795 |
M4(2)⋊18D4 = C24.72D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2):18D4 | 128,603 |
M4(2)⋊19D4 = M4(2)⋊19D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 16 | 4 | M4(2):19D4 | 128,616 |
M4(2)⋊20D4 = M4(2)⋊20D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2):20D4 | 128,632 |
M4(2)⋊21D4 = M4(2)⋊21D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 16 | 8+ | M4(2):21D4 | 128,646 |
M4(2)⋊22D4 = M4(2)⋊22D4 | φ: trivial image | 32 | | M4(2):22D4 | 128,1665 |
M4(2)⋊23D4 = M4(2)⋊23D4 | φ: trivial image | 64 | | M4(2):23D4 | 128,1667 |
extension | φ:Q→Out N | d | ρ | Label | ID |
M4(2).1D4 = C42.129D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).1D4 | 128,735 |
M4(2).2D4 = C42.130D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).2D4 | 128,737 |
M4(2).3D4 = M4(2).D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 8- | M4(2).3D4 | 128,741 |
M4(2).4D4 = M4(2).4D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).4D4 | 128,750 |
M4(2).5D4 = M4(2).5D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).5D4 | 128,751 |
M4(2).6D4 = M4(2).6D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 64 | | M4(2).6D4 | 128,752 |
M4(2).7D4 = M4(2).7D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).7D4 | 128,770 |
M4(2).8D4 = M4(2).8D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 16 | 8+ | M4(2).8D4 | 128,780 |
M4(2).9D4 = M4(2).9D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 8- | M4(2).9D4 | 128,781 |
M4(2).10D4 = M4(2).10D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).10D4 | 128,783 |
M4(2).11D4 = M4(2).11D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 64 | | M4(2).11D4 | 128,784 |
M4(2).12D4 = M4(2).12D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | | M4(2).12D4 | 128,795 |
M4(2).13D4 = M4(2).13D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 64 | | M4(2).13D4 | 128,796 |
M4(2).14D4 = C24.Q8 | φ: D4/C2 → C22 ⊆ Out M4(2) | 16 | 8+ | M4(2).14D4 | 128,801 |
M4(2).15D4 = M4(2).15D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 8- | M4(2).15D4 | 128,802 |
M4(2).16D4 = Q16.10D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 4+ | M4(2).16D4 | 128,924 |
M4(2).17D4 = Q16.D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 4 | M4(2).17D4 | 128,925 |
M4(2).18D4 = D8.3D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 32 | 4 | M4(2).18D4 | 128,926 |
M4(2).19D4 = D8.12D4 | φ: D4/C2 → C22 ⊆ Out M4(2) | 64 | 4- | M4(2).19D4 | 128,927 |
M4(2).20D4 = M4(2).20D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | | M4(2).20D4 | 128,1888 |
M4(2).21D4 = D4○D16 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4+ | M4(2).21D4 | 128,2147 |
M4(2).22D4 = D4○SD32 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).22D4 | 128,2148 |
M4(2).23D4 = Q8○D16 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | 4- | M4(2).23D4 | 128,2149 |
M4(2).24D4 = M4(2).24D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2).24D4 | 128,661 |
M4(2).25D4 = C42.427D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 16 | 4 | M4(2).25D4 | 128,664 |
M4(2).26D4 = C42.430D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | | M4(2).26D4 | 128,682 |
M4(2).27D4 = M4(2).27D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).27D4 | 128,685 |
M4(2).28D4 = C42.114D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | | M4(2).28D4 | 128,698 |
M4(2).29D4 = C42.115D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2).29D4 | 128,699 |
M4(2).30D4 = M4(2).30D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).30D4 | 128,708 |
M4(2).31D4 = M4(2).31D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2).31D4 | 128,709 |
M4(2).32D4 = M4(2).32D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | | M4(2).32D4 | 128,710 |
M4(2).33D4 = M4(2).33D4 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | | M4(2).33D4 | 128,711 |
M4(2).34D4 = D4.3D8 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4+ | M4(2).34D4 | 128,953 |
M4(2).35D4 = D4.4D8 | φ: D4/C4 → C2 ⊆ Out M4(2) | 64 | 4- | M4(2).35D4 | 128,954 |
M4(2).36D4 = D4.5D8 | φ: D4/C4 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).36D4 | 128,955 |
M4(2).37D4 = M4(2).37D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 16 | 8+ | M4(2).37D4 | 128,1800 |
M4(2).38D4 = M4(2).38D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | 8- | M4(2).38D4 | 128,1801 |
M4(2).39D4 = C24.10Q8 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2).39D4 | 128,587 |
M4(2).40D4 = M4(2).40D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).40D4 | 128,590 |
M4(2).41D4 = M4(2).41D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 16 | 4 | M4(2).41D4 | 128,593 |
M4(2).42D4 = M4(2).42D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2).42D4 | 128,598 |
M4(2).43D4 = M4(2).43D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2).43D4 | 128,608 |
M4(2).44D4 = M4(2).44D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | 4 | M4(2).44D4 | 128,613 |
M4(2).45D4 = M4(2).45D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2).45D4 | 128,633 |
M4(2).46D4 = M4(2).46D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | 8- | M4(2).46D4 | 128,634 |
M4(2).47D4 = M4(2).47D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 16 | 8+ | M4(2).47D4 | 128,635 |
M4(2).48D4 = M4(2).48D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | | M4(2).48D4 | 128,639 |
M4(2).49D4 = M4(2).49D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 64 | | M4(2).49D4 | 128,640 |
M4(2).50D4 = M4(2).50D4 | φ: D4/C22 → C2 ⊆ Out M4(2) | 32 | 8- | M4(2).50D4 | 128,647 |
M4(2).51D4 = M4(2).51D4 | φ: trivial image | 16 | 4 | M4(2).51D4 | 128,1688 |
M4(2).52D4 = M4(2)○D8 | φ: trivial image | 32 | 4 | M4(2).52D4 | 128,1689 |