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Extensions 1→N→G→Q→1 with N=C22×M4(2) and Q=C2

Direct product G=N×Q with N=C22×M4(2) and Q=C2
dρLabelID
C23×M4(2)64C2^3xM4(2)128,2302

Semidirect products G=N:Q with N=C22×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×M4(2))⋊1C2 = C2×C8⋊D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):1C2128,1783
(C22×M4(2))⋊2C2 = C2×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):2C2128,1784
(C22×M4(2))⋊3C2 = C24.110D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):3C2128,1786
(C22×M4(2))⋊4C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):4C2128,1787
(C22×M4(2))⋊5C2 = M4(2)⋊15D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):5C2128,1788
(C22×M4(2))⋊6C2 = C22×C8⋊C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):6C2128,2310
(C22×M4(2))⋊7C2 = C22×C8.C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):7C2128,2311
(C22×M4(2))⋊8C2 = C2×D8⋊C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):8C2128,2312
(C22×M4(2))⋊9C2 = C23⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):9C2128,602
(C22×M4(2))⋊10C2 = C24.72D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):10C2128,603
(C22×M4(2))⋊11C2 = C24.76D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):11C2128,627
(C22×M4(2))⋊12C2 = M4(2)⋊20D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):12C2128,632
(C22×M4(2))⋊13C2 = C2×C24.4C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):13C2128,1609
(C22×M4(2))⋊14C2 = C2×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):14C2128,1610
(C22×M4(2))⋊15C2 = C24.73(C2×C4)φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):15C2128,1611
(C22×M4(2))⋊16C2 = C22×C4.D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):16C2128,1617
(C22×M4(2))⋊17C2 = C2×M4(2).8C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):17C2128,1619
(C22×M4(2))⋊18C2 = C2×C23.37D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):18C2128,1625
(C22×M4(2))⋊19C2 = C2×C23.36D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):19C2128,1627
(C22×M4(2))⋊20C2 = C24.98D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):20C2128,1628
(C22×M4(2))⋊21C2 = C22×C4≀C2φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):21C2128,1631
(C22×M4(2))⋊22C2 = C2×C42⋊C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):22C2128,1632
(C22×M4(2))⋊23C2 = C2×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):23C2128,1659
(C22×M4(2))⋊24C2 = C2×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)):24C2128,1660
(C22×M4(2))⋊25C2 = C42.265C23φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):25C2128,1662
(C22×M4(2))⋊26C2 = M4(2)⋊22D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):26C2128,1665
(C22×M4(2))⋊27C2 = D4×M4(2)φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):27C2128,1666
(C22×M4(2))⋊28C2 = C2×Q8○M4(2)φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)):28C2128,2304
(C22×M4(2))⋊29C2 = C22×C8○D4φ: trivial image64(C2^2xM4(2)):29C2128,2303

Non-split extensions G=N.Q with N=C22×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×M4(2)).1C2 = C24.67D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).1C2128,541
(C22×M4(2)).2C2 = C24.9Q8φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).2C2128,543
(C22×M4(2)).3C2 = C2×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).3C2128,1642
(C22×M4(2)).4C2 = C24.100D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).4C2128,1643
(C22×M4(2)).5C2 = C2×C8.D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).5C2128,1785
(C22×M4(2)).6C2 = C23.28C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).6C2128,460
(C22×M4(2)).7C2 = C23.29C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).7C2128,461
(C22×M4(2)).8C2 = C2×C4.9C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).8C2128,462
(C22×M4(2)).9C2 = C2×C4.10C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).9C2128,463
(C22×M4(2)).10C2 = C2×C42⋊6C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).10C2128,464
(C22×M4(2)).11C2 = C24.63D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).11C2128,465
(C22×M4(2)).12C2 = C24.152D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).12C2128,468
(C22×M4(2)).13C2 = C2×C4.C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).13C2128,469
(C22×M4(2)).14C2 = C24.7Q8φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).14C2128,470
(C22×M4(2)).15C2 = C2×C22.C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).15C2128,473
(C22×M4(2)).16C2 = C23.15C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).16C2128,474
(C22×M4(2)).17C2 = C2×M4(2)⋊4C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).17C2128,475
(C22×M4(2)).18C2 = C23.17C42φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).18C2128,485
(C22×M4(2)).19C2 = (C2×C8).195D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).19C2128,583
(C22×M4(2)).20C2 = C24.10Q8φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).20C2128,587
(C22×M4(2)).21C2 = C24.75D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).21C2128,626
(C22×M4(2)).22C2 = M4(2).45D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).22C2128,633
(C22×M4(2)).23C2 = C2×C23.C8φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).23C2128,846
(C22×M4(2)).24C2 = M4(2)○2M4(2)φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).24C2128,1605
(C22×M4(2)).25C2 = C22×C4.10D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).25C2128,1618
(C22×M4(2)).26C2 = C2×C23.38D4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).26C2128,1626
(C22×M4(2)).27C2 = C2×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).27C2128,1635
(C22×M4(2)).28C2 = C2×C42.6C22φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).28C2128,1636
(C22×M4(2)).29C2 = C42.257C23φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).29C2128,1637
(C22×M4(2)).30C2 = C22×C8.C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)64(C2^2xM4(2)).30C2128,1646
(C22×M4(2)).31C2 = C2×M4(2).C4φ: C2/C1 → C2 ⊆ Out C22×M4(2)32(C2^2xM4(2)).31C2128,1647
(C22×M4(2)).32C2 = C2×C4×M4(2)φ: trivial image64(C2^2xM4(2)).32C2128,1603
(C22×M4(2)).33C2 = C2×C8○2M4(2)φ: trivial image64(C2^2xM4(2)).33C2128,1604

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