# Extensions 1→N→G→Q→1 with N=C22×Dic7 and Q=C4

Direct product G=N×Q with N=C22×Dic7 and Q=C4
dρLabelID
C22×C4×Dic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=C22×Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic7)⋊1C4 = (C2×C28).D4φ: C4/C1C4 ⊆ Out C22×Dic71128-(C2^2xDic7):1C4448,29
(C22×Dic7)⋊2C4 = C23.4D28φ: C4/C1C4 ⊆ Out C22×Dic71128-(C2^2xDic7):2C4448,33
(C22×Dic7)⋊3C4 = C24.2D14φ: C4/C1C4 ⊆ Out C22×Dic7112(C2^2xDic7):3C4448,84
(C22×Dic7)⋊4C4 = C23⋊C45D7φ: C4/C1C4 ⊆ Out C22×Dic71128-(C2^2xDic7):4C4448,274
(C22×Dic7)⋊5C4 = C2×C23.1D14φ: C4/C1C4 ⊆ Out C22×Dic7112(C2^2xDic7):5C4448,488
(C22×Dic7)⋊6C4 = C22⋊C4×Dic7φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7):6C4448,475
(C22×Dic7)⋊7C4 = C24.44D14φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7):7C4448,476
(C22×Dic7)⋊8C4 = C23.42D28φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7):8C4448,477
(C22×Dic7)⋊9C4 = C2×C14.C42φ: C4/C2C2 ⊆ Out C22×Dic7448(C2^2xDic7):9C4448,742
(C22×Dic7)⋊10C4 = C2×C23.11D14φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7):10C4448,933
(C22×Dic7)⋊11C4 = C22×Dic7⋊C4φ: C4/C2C2 ⊆ Out C22×Dic7448(C2^2xDic7):11C4448,1236

Non-split extensions G=N.Q with N=C22×Dic7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic7).1C4 = (C22×D7)⋊C8φ: C4/C1C4 ⊆ Out C22×Dic7112(C2^2xDic7).1C4448,25
(C22×Dic7).2C4 = (C2×Dic7)⋊C8φ: C4/C1C4 ⊆ Out C22×Dic7224(C2^2xDic7).2C4448,26
(C22×Dic7).3C4 = M4(2)⋊Dic7φ: C4/C1C4 ⊆ Out C22×Dic7224(C2^2xDic7).3C4448,111
(C22×Dic7).4C4 = M4(2).19D14φ: C4/C1C4 ⊆ Out C22×Dic71128-(C2^2xDic7).4C4448,279
(C22×Dic7).5C4 = C2×C4.12D28φ: C4/C1C4 ⊆ Out C22×Dic7224(C2^2xDic7).5C4448,670
(C22×Dic7).6C4 = (C2×C56)⋊5C4φ: C4/C2C2 ⊆ Out C22×Dic7448(C2^2xDic7).6C4448,107
(C22×Dic7).7C4 = Dic7.5M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).7C4448,252
(C22×Dic7).8C4 = Dic7.M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).8C4448,253
(C22×Dic7).9C4 = D7×C22⋊C8φ: C4/C2C2 ⊆ Out C22×Dic7112(C2^2xDic7).9C4448,258
(C22×Dic7).10C4 = D14⋊M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7112(C2^2xDic7).10C4448,260
(C22×Dic7).11C4 = C2×Dic7⋊C8φ: C4/C2C2 ⊆ Out C22×Dic7448(C2^2xDic7).11C4448,633
(C22×Dic7).12C4 = C2×C56⋊C4φ: C4/C2C2 ⊆ Out C22×Dic7448(C2^2xDic7).12C4448,634
(C22×Dic7).13C4 = C2×D14⋊C8φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).13C4448,642
(C22×Dic7).14C4 = M4(2)×Dic7φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).14C4448,651
(C22×Dic7).15C4 = Dic74M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).15C4448,652
(C22×Dic7).16C4 = D146M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7112(C2^2xDic7).16C4448,660
(C22×Dic7).17C4 = C22×C8⋊D7φ: C4/C2C2 ⊆ Out C22×Dic7224(C2^2xDic7).17C4448,1190
(C22×Dic7).18C4 = C2×D7×M4(2)φ: C4/C2C2 ⊆ Out C22×Dic7112(C2^2xDic7).18C4448,1196
(C22×Dic7).19C4 = C2×C8×Dic7φ: trivial image448(C2^2xDic7).19C4448,632
(C22×Dic7).20C4 = D7×C22×C8φ: trivial image224(C2^2xDic7).20C4448,1189

׿
×
𝔽