Extensions 1→N→G→Q→1 with N=Dic28 and Q=C22

Direct product G=N×Q with N=Dic28 and Q=C22
dρLabelID
C22×Dic28448C2^2xDic28448,1195

Semidirect products G=N:Q with N=Dic28 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic28⋊1C22 = SD16⋊D14φ: C22/C1 → C22 ⊆ Out Dic281128-Dic28:1C2^2448,1226
Dic28⋊2C22 = D8⋊6D14φ: C22/C1 → C22 ⊆ Out Dic281128-Dic28:2C2^2448,1228
Dic28⋊3C22 = D7×C8.C22φ: C22/C1 → C22 ⊆ Out Dic281128-Dic28:3C2^2448,1229
Dic28⋊4C22 = D8⋊D14φ: C22/C1 → C22 ⊆ Out Dic281124Dic28:4C2^2448,445
Dic28⋊5C22 = D7×SD32φ: C22/C1 → C22 ⊆ Out Dic281124Dic28:5C2^2448,447
Dic28⋊6C22 = C2×C112⋊C2φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:6C2^2448,437
Dic28⋊7C22 = C16⋊D14φ: C22/C2 → C2 ⊆ Out Dic281124+Dic28:7C2^2448,442
Dic28⋊8C22 = C2×C8.D14φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:8C2^2448,1200
Dic28⋊9C22 = C56.9C23φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:9C2^2448,1201
Dic28⋊10C22 = D4.11D28φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:10C2^2448,1204
Dic28⋊11C22 = D8.D14φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:11C2^2448,681
Dic28⋊12C22 = C2×D8.D7φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:12C2^2448,682
Dic28⋊13C22 = C2×D8⋊3D7φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:13C2^2448,1209
Dic28⋊14C22 = D8⋊13D14φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:14C2^2448,1210
Dic28⋊15C22 = C2×D7×Q16φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:15C2^2448,1216
Dic28⋊16C22 = D7×C4○D8φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:16C2^2448,1220
Dic28⋊17C22 = C2×SD16⋊D7φ: C22/C2 → C2 ⊆ Out Dic28224Dic28:17C2^2448,1213
Dic28⋊18C22 = D28.29D4φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:18C2^2448,1215
Dic28⋊19C22 = D8⋊10D14φ: C22/C2 → C2 ⊆ Out Dic281124Dic28:19C2^2448,1221
Dic28⋊20C22 = C2×D56⋊7C2φ: trivial image224Dic28:20C2^2448,1194
Dic28⋊21C22 = D4.12D28φ: trivial image1124+Dic28:21C2^2448,1205

Non-split extensions G=N.Q with N=Dic28 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic28.1C22 = D28.44D4φ: C22/C1 → C22 ⊆ Out Dic282248-Dic28.1C2^2448,1232
Dic28.2C22 = D16⋊3D7φ: C22/C1 → C22 ⊆ Out Dic282244-Dic28.2C2^2448,446
Dic28.3C22 = SD32⋊D7φ: C22/C1 → C22 ⊆ Out Dic282244-Dic28.3C2^2448,449
Dic28.4C22 = SD32⋊3D7φ: C22/C1 → C22 ⊆ Out Dic282244Dic28.4C2^2448,450
Dic28.5C22 = D7×Q32φ: C22/C1 → C22 ⊆ Out Dic282244-Dic28.5C2^2448,451
Dic28.6C22 = Q32⋊D7φ: C22/C1 → C22 ⊆ Out Dic282244Dic28.6C2^2448,452
Dic28.7C22 = D112⋊7C2φ: C22/C2 → C2 ⊆ Out Dic282242Dic28.7C2^2448,438
Dic28.8C22 = C2×Dic56φ: C22/C2 → C2 ⊆ Out Dic28448Dic28.8C2^2448,439
Dic28.9C22 = C16.D14φ: C22/C2 → C2 ⊆ Out Dic282244-Dic28.9C2^2448,443
Dic28.10C22 = D4.13D28φ: C22/C2 → C2 ⊆ Out Dic282244-Dic28.10C2^2448,1206
Dic28.11C22 = Q16.D14φ: C22/C2 → C2 ⊆ Out Dic282244Dic28.11C2^2448,713
Dic28.12C22 = C2×C7⋊Q32φ: C22/C2 → C2 ⊆ Out Dic28448Dic28.12C2^2448,714
Dic28.13C22 = C56.30C23φ: C22/C2 → C2 ⊆ Out Dic282244Dic28.13C2^2448,728
Dic28.14C22 = C56.31C23φ: C22/C2 → C2 ⊆ Out Dic282244-Dic28.14C2^2448,729
Dic28.15C22 = D28.30D4φ: C22/C2 → C2 ⊆ Out Dic282244Dic28.15C2^2448,1219
Dic28.16C22 = D8.10D14φ: C22/C2 → C2 ⊆ Out Dic282244-Dic28.16C2^2448,1224

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