Extensions 1→N→G→Q→1 with N=C4.D28 and Q=C2

Direct product G=N×Q with N=C4.D28 and Q=C2
dρLabelID
C2×C4.D28224C2xC4.D28448,929

Semidirect products G=N:Q with N=C4.D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D281C2 = C8.8D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:1C2448,230
C4.D282C2 = C8⋊D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:2C2448,246
C4.D283C2 = C429D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:3C2448,978
C4.D284C2 = C42.92D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:4C2448,979
C4.D285C2 = C42.99D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:5C2448,987
C4.D286C2 = C4210D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:6C2448,980
C4.D287C2 = C42.97D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:7C2448,985
C4.D288C2 = C4223D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:8C2448,1157
C4.D289C2 = C42.164D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:9C2448,1163
C4.D2810C2 = M4(2)⋊D14φ: C2/C1C2 ⊆ Out C4.D281124C4.D28:10C2448,359
C4.D2811C2 = D4.10D28φ: C2/C1C2 ⊆ Out C4.D281124C4.D28:11C2448,361
C4.D2812C2 = D28.19D4φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:12C2448,378
C4.D2813C2 = D4.1D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:13C2448,550
C4.D2814C2 = C42.214D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:14C2448,593
C4.D2815C2 = C42.74D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:15C2448,608
C4.D2816C2 = D2823D4φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:16C2448,1003
C4.D2817C2 = Dic1423D4φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:17C2448,1005
C4.D2818C2 = D45D28φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:18C2448,1007
C4.D2819C2 = C42.114D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:19C2448,1012
C4.D2820C2 = Q85D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:20C2448,1029
C4.D2821C2 = C42.136D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:21C2448,1038
C4.D2822C2 = C42.233D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:22C2448,1121
C4.D2823C2 = D7×C4.4D4φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:23C2448,1126
C4.D2824C2 = C42.237D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:24C2448,1144
C4.D2825C2 = C4226D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:25C2448,1168
C4.D2826C2 = C42.171D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:26C2448,1177
C4.D2827C2 = C42.178D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:27C2448,1186
C4.D2828C2 = C4217D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:28C2448,1013
C4.D2829C2 = C42.133D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:29C2448,1035
C4.D2830C2 = C4222D14φ: C2/C1C2 ⊆ Out C4.D28112C4.D28:30C2448,1136
C4.D2831C2 = C42.145D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:31C2448,1137
C4.D2832C2 = C42.158D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28:32C2448,1153
C4.D2833C2 = C42.276D14φ: trivial image224C4.D28:33C2448,930
C4.D2834C2 = C42.277D14φ: trivial image224C4.D28:34C2448,932

Non-split extensions G=N.Q with N=C4.D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D28.1C2 = C42.264D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.1C2448,231
C4.D28.2C2 = C42.20D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.2C2448,248
C4.D28.3C2 = C8.D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.3C2448,249
C4.D28.4C2 = C42.D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.4C2448,21
C4.D28.5C2 = C42.36D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.5C2448,379
C4.D28.6C2 = Q8.1D28φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.6C2448,562
C4.D28.7C2 = C42.216D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.7C2448,602
C4.D28.8C2 = C42.80D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.8C2448,620
C4.D28.9C2 = C42.82D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.9C2448,623
C4.D28.10C2 = C42.122D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.10C2448,1021
C4.D28.11C2 = C42.135D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.11C2448,1037
C4.D28.12C2 = C42.157D14φ: C2/C1C2 ⊆ Out C4.D28224C4.D28.12C2448,1152

׿
×
𝔽