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Extensions 1→N→G→Q→1 with N=C22×C7⋊C8 and Q=C2

Direct product G=N×Q with N=C22×C7⋊C8 and Q=C2
dρLabelID
C23×C7⋊C8448C2^3xC7:C8448,1233

Semidirect products G=N:Q with N=C22×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C7⋊C8)⋊1C2 = C2×C14.D8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):1C2448,499
(C22×C7⋊C8)⋊2C2 = C4.(C2×D28)φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):2C2448,536
(C22×C7⋊C8)⋊3C2 = C7⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):3C2448,572
(C22×C7⋊C8)⋊4C2 = C7⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):4C2448,575
(C22×C7⋊C8)⋊5C2 = C7⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):5C2448,582
(C22×C7⋊C8)⋊6C2 = (C2×D28).14C4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):6C2448,663
(C22×C7⋊C8)⋊7C2 = C2×D4⋊Dic7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):7C2448,748
(C22×C7⋊C8)⋊8C2 = C28.(C2×D4)φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):8C2448,767
(C22×C7⋊C8)⋊9C2 = (D4×C14).11C4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):9C2448,768
(C22×C7⋊C8)⋊10C2 = C2×D28.C4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):10C2448,1197
(C22×C7⋊C8)⋊11C2 = C22×D4⋊D7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):11C2448,1245
(C22×C7⋊C8)⋊12C2 = C22×D4.D7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):12C2448,1247
(C22×C7⋊C8)⋊13C2 = C22×Q8⋊D7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):13C2448,1260
(C22×C7⋊C8)⋊14C2 = C2×Q8.Dic7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):14C2448,1271
(C22×C7⋊C8)⋊15C2 = C2×D4.8D14φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):15C2448,1274
(C22×C7⋊C8)⋊16C2 = C7⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):16C2448,259
(C22×C7⋊C8)⋊17C2 = C7⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):17C2448,264
(C22×C7⋊C8)⋊18C2 = D4×C7⋊C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):18C2448,544
(C22×C7⋊C8)⋊19C2 = C42.47D14φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):19C2448,545
(C22×C7⋊C8)⋊20C2 = C2×D14⋊C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):20C2448,642
(C22×C7⋊C8)⋊21C2 = C2×C28.55D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):21C2448,740
(C22×C7⋊C8)⋊22C2 = C22×C8⋊D7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):22C2448,1190
(C22×C7⋊C8)⋊23C2 = C22×C4.Dic7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8):23C2448,1234
(C22×C7⋊C8)⋊24C2 = D7×C22×C8φ: trivial image224(C2^2xC7:C8):24C2448,1189

Non-split extensions G=N.Q with N=C22×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C7⋊C8).1C2 = C28.C42φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).1C2448,86
(C22×C7⋊C8).2C2 = C28.4C42φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).2C2448,115
(C22×C7⋊C8).3C2 = C2×C28.Q8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).3C2448,496
(C22×C7⋊C8).4C2 = C2×C4.Dic14φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).4C2448,497
(C22×C7⋊C8).5C2 = C2×C14.Q16φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).5C2448,503
(C22×C7⋊C8).6C2 = C28.5C42φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).6C2448,531
(C22×C7⋊C8).7C2 = C28.45(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).7C2448,532
(C22×C7⋊C8).8C2 = C42.43D14φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).8C2448,533
(C22×C7⋊C8).9C2 = C7⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).9C2448,585
(C22×C7⋊C8).10C2 = C28.439(C2×D4)φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).10C2448,653
(C22×C7⋊C8).11C2 = C28.7C42φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).11C2448,656
(C22×C7⋊C8).12C2 = C2×C28.53D4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8224(C2^2xC7:C8).12C2448,657
(C22×C7⋊C8).13C2 = C2×Q8⋊Dic7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).13C2448,758
(C22×C7⋊C8).14C2 = C22×C7⋊Q16φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).14C2448,1262
(C22×C7⋊C8).15C2 = (C2×C28)⋊3C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).15C2448,81
(C22×C7⋊C8).16C2 = (C2×C56)⋊5C4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).16C2448,107
(C22×C7⋊C8).17C2 = C2×C42.D7φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).17C2448,455
(C22×C7⋊C8).18C2 = C2×C28⋊C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).18C2448,457
(C22×C7⋊C8).19C2 = C2×Dic7⋊C8φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).19C2448,633
(C22×C7⋊C8).20C2 = C2×C56⋊C4φ: C2/C1 → C2 ⊆ Out C22×C7⋊C8448(C2^2xC7:C8).20C2448,634
(C22×C7⋊C8).21C2 = C2×C4×C7⋊C8φ: trivial image448(C2^2xC7:C8).21C2448,454
(C22×C7⋊C8).22C2 = C2×C8×Dic7φ: trivial image448(C2^2xC7:C8).22C2448,632

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