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
Dic281C22 = SD16⋊D14φ: C22/C1C22 ⊆ Out Dic281128-Dic28:1C2^2448,1226
Dic282C22 = D86D14φ: C22/C1C22 ⊆ Out Dic281128-Dic28:2C2^2448,1228
Dic283C22 = D7×C8.C22φ: C22/C1C22 ⊆ Out Dic281128-Dic28:3C2^2448,1229
Dic284C22 = D8⋊D14φ: C22/C1C22 ⊆ Out Dic281124Dic28:4C2^2448,445
Dic285C22 = D7×SD32φ: C22/C1C22 ⊆ Out Dic281124Dic28:5C2^2448,447
Dic286C22 = C2×C112⋊C2φ: C22/C2C2 ⊆ Out Dic28224Dic28:6C2^2448,437
Dic287C22 = C16⋊D14φ: C22/C2C2 ⊆ Out Dic281124+Dic28:7C2^2448,442
Dic288C22 = C2×C8.D14φ: C22/C2C2 ⊆ Out Dic28224Dic28:8C2^2448,1200
Dic289C22 = C56.9C23φ: C22/C2C2 ⊆ Out Dic281124Dic28:9C2^2448,1201
Dic2810C22 = D4.11D28φ: C22/C2C2 ⊆ Out Dic281124Dic28:10C2^2448,1204
Dic2811C22 = D8.D14φ: C22/C2C2 ⊆ Out Dic281124Dic28:11C2^2448,681
Dic2812C22 = C2×D8.D7φ: C22/C2C2 ⊆ Out Dic28224Dic28:12C2^2448,682
Dic2813C22 = C2×D83D7φ: C22/C2C2 ⊆ Out Dic28224Dic28:13C2^2448,1209
Dic2814C22 = D813D14φ: C22/C2C2 ⊆ Out Dic281124Dic28:14C2^2448,1210
Dic2815C22 = C2×D7×Q16φ: C22/C2C2 ⊆ Out Dic28224Dic28:15C2^2448,1216
Dic2816C22 = D7×C4○D8φ: C22/C2C2 ⊆ Out Dic281124Dic28:16C2^2448,1220
Dic2817C22 = C2×SD16⋊D7φ: C22/C2C2 ⊆ Out Dic28224Dic28:17C2^2448,1213
Dic2818C22 = D28.29D4φ: C22/C2C2 ⊆ Out Dic281124Dic28:18C2^2448,1215
Dic2819C22 = D810D14φ: C22/C2C2 ⊆ Out Dic281124Dic28:19C2^2448,1221
Dic2820C22 = C2×D567C2φ: trivial image224Dic28:20C2^2448,1194
Dic2821C22 = 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/C1C22 ⊆ Out Dic282248-Dic28.1C2^2448,1232
Dic28.2C22 = D163D7φ: C22/C1C22 ⊆ Out Dic282244-Dic28.2C2^2448,446
Dic28.3C22 = SD32⋊D7φ: C22/C1C22 ⊆ Out Dic282244-Dic28.3C2^2448,449
Dic28.4C22 = SD323D7φ: C22/C1C22 ⊆ Out Dic282244Dic28.4C2^2448,450
Dic28.5C22 = D7×Q32φ: C22/C1C22 ⊆ Out Dic282244-Dic28.5C2^2448,451
Dic28.6C22 = Q32⋊D7φ: C22/C1C22 ⊆ Out Dic282244Dic28.6C2^2448,452
Dic28.7C22 = D1127C2φ: C22/C2C2 ⊆ Out Dic282242Dic28.7C2^2448,438
Dic28.8C22 = C2×Dic56φ: C22/C2C2 ⊆ Out Dic28448Dic28.8C2^2448,439
Dic28.9C22 = C16.D14φ: C22/C2C2 ⊆ Out Dic282244-Dic28.9C2^2448,443
Dic28.10C22 = D4.13D28φ: C22/C2C2 ⊆ Out Dic282244-Dic28.10C2^2448,1206
Dic28.11C22 = Q16.D14φ: C22/C2C2 ⊆ Out Dic282244Dic28.11C2^2448,713
Dic28.12C22 = C2×C7⋊Q32φ: C22/C2C2 ⊆ Out Dic28448Dic28.12C2^2448,714
Dic28.13C22 = C56.30C23φ: C22/C2C2 ⊆ Out Dic282244Dic28.13C2^2448,728
Dic28.14C22 = C56.31C23φ: C22/C2C2 ⊆ Out Dic282244-Dic28.14C2^2448,729
Dic28.15C22 = D28.30D4φ: C22/C2C2 ⊆ Out Dic282244Dic28.15C2^2448,1219
Dic28.16C22 = D8.10D14φ: C22/C2C2 ⊆ Out Dic282244-Dic28.16C2^2448,1224

׿
×
𝔽