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Extensions 1→N→G→Q→1 with N=C2×D4⋊2D7 and Q=C2

Direct product G=N×Q with N=C2×D4⋊2D7 and Q=C2
dρLabelID
C22×D4⋊2D7224C2^2xD4:2D7448,1370

Semidirect products G=N:Q with N=C2×D4⋊2D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4⋊2D7)⋊1C2 = D4⋊3D28φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):1C2448,315
(C2×D4⋊2D7)⋊2C2 = Dic14⋊D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):2C2448,692
(C2×D4⋊2D7)⋊3C2 = D4⋊5D28φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):3C2448,1007
(C2×D4⋊2D7)⋊4C2 = D4⋊6D28φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):4C2448,1008
(C2×D4⋊2D7)⋊5C2 = C24.56D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):5C2448,1039
(C2×D4⋊2D7)⋊6C2 = C24.33D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):6C2448,1044
(C2×D4⋊2D7)⋊7C2 = C24.34D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):7C2448,1045
(C2×D4⋊2D7)⋊8C2 = C28⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):8C2448,1049
(C2×D4⋊2D7)⋊9C2 = C14.682- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):9C2448,1050
(C2×D4⋊2D7)⋊10C2 = Dic14⋊19D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):10C2448,1051
(C2×D4⋊2D7)⋊11C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):11C2448,1052
(C2×D4⋊2D7)⋊12C2 = C4⋊C4⋊21D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):12C2448,1059
(C2×D4⋊2D7)⋊13C2 = C14.722- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):13C2448,1061
(C2×D4⋊2D7)⋊14C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):14C2448,1063
(C2×D4⋊2D7)⋊15C2 = C14.732- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):15C2448,1064
(C2×D4⋊2D7)⋊16C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):16C2448,1108
(C2×D4⋊2D7)⋊17C2 = C4⋊C4⋊28D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):17C2448,1109
(C2×D4⋊2D7)⋊18C2 = C42.233D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):18C2448,1121
(C2×D4⋊2D7)⋊19C2 = Dic14⋊10D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):19C2448,1130
(C2×D4⋊2D7)⋊20C2 = C42⋊26D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):20C2448,1168
(C2×D4⋊2D7)⋊21C2 = C42.238D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):21C2448,1169
(C2×D4⋊2D7)⋊22C2 = Dic14⋊11D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):22C2448,1171
(C2×D4⋊2D7)⋊23C2 = C2×D8⋊D7φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):23C2448,1208
(C2×D4⋊2D7)⋊24C2 = C2×D8⋊3D7φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):24C2448,1209
(C2×D4⋊2D7)⋊25C2 = C2×SD16⋊3D7φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):25C2448,1214
(C2×D4⋊2D7)⋊26C2 = SD16⋊D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D71128-(C2xD4:2D7):26C2448,1226
(C2×D4⋊2D7)⋊27C2 = C24.42D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):27C2448,1259
(C2×D4⋊2D7)⋊28C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):28C2448,1277
(C2×D4⋊2D7)⋊29C2 = C2×D4⋊6D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7112(C2xD4:2D7):29C2448,1371
(C2×D4⋊2D7)⋊30C2 = C2×D4.10D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7):30C2448,1377
(C2×D4⋊2D7)⋊31C2 = D14.C24φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D71128-(C2xD4:2D7):31C2448,1380
(C2×D4⋊2D7)⋊32C2 = C2×D7×C4○D4φ: trivial image112(C2xD4:2D7):32C2448,1375

Non-split extensions G=N.Q with N=C2×D4⋊2D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4⋊2D7).1C2 = C23⋊C4⋊5D7φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D71128-(C2xD4:2D7).1C2448,274
(C2×D4⋊2D7).2C2 = M4(2).19D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D71128-(C2xD4:2D7).2C2448,279
(C2×D4⋊2D7).3C2 = D4⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).3C2448,305
(C2×D4⋊2D7).4C2 = D4⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).4C2448,306
(C2×D4⋊2D7).5C2 = D4.D28φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).5C2448,317
(C2×D4⋊2D7).6C2 = Dic14.16D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).6C2448,707
(C2×D4⋊2D7).7C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).7C2448,999
(C2×D4⋊2D7).8C2 = C14.792- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).8C2448,1101
(C2×D4⋊2D7).9C2 = C42.141D14φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).9C2448,1128
(C2×D4⋊2D7).10C2 = C2×SD16⋊D7φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D7224(C2xD4:2D7).10C2448,1213
(C2×D4⋊2D7).11C2 = C4×D4⋊2D7φ: trivial image224(C2xD4:2D7).11C2448,989

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