# Extensions 1→N→G→Q→1 with N=C22.D28 and Q=C2

Direct product G=N×Q with N=C22.D28 and Q=C2
dρLabelID
C2×C22.D28224C2xC2^2.D28448,945

Semidirect products G=N:Q with N=C22.D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.D281C2 = C23.5D28φ: C2/C1C2 ⊆ Out C22.D281128-C2^2.D28:1C2448,276
C22.D282C2 = C233D28φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:2C2448,946
C22.D283C2 = C24.31D14φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:3C2448,948
C22.D284C2 = C42.92D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:4C2448,979
C22.D285C2 = D45D28φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:5C2448,1007
C22.D286C2 = D46D28φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:6C2448,1008
C22.D287C2 = C42.118D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:7C2448,1017
C22.D288C2 = C24.56D14φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:8C2448,1039
C22.D289C2 = C242D14φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:9C2448,1042
C22.D2810C2 = C24.33D14φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:10C2448,1044
C22.D2811C2 = C14.462+ 1+4φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:11C2448,1070
C22.D2812C2 = C14.1152+ 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:12C2448,1071
C22.D2813C2 = C14.472+ 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:13C2448,1072
C22.D2814C2 = C14.482+ 1+4φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:14C2448,1073
C22.D2815C2 = C22⋊Q825D7φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:15C2448,1077
C22.D2816C2 = C14.532+ 1+4φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:16C2448,1090
C22.D2817C2 = C14.572+ 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:17C2448,1098
C22.D2818C2 = C14.792- 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:18C2448,1101
C22.D2819C2 = D7×C22.D4φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:19C2448,1105
C22.D2820C2 = C14.822- 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:20C2448,1108
C22.D2821C2 = C14.1222+ 1+4φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:21C2448,1111
C22.D2822C2 = C14.662+ 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:22C2448,1116
C22.D2823C2 = C14.852- 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:23C2448,1118
C22.D2824C2 = C14.862- 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:24C2448,1120
C22.D2825C2 = C4220D14φ: C2/C1C2 ⊆ Out C22.D28112C2^2.D28:25C2448,1131
C22.D2826C2 = C42.143D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:26C2448,1134
C22.D2827C2 = C42.144D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:27C2448,1135
C22.D2828C2 = C42.145D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:28C2448,1137
C22.D2829C2 = C42.161D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:29C2448,1160
C22.D2830C2 = C42.163D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:30C2448,1162
C22.D2831C2 = C42.164D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28:31C2448,1163
C22.D2832C2 = C428D14φ: trivial image112C2^2.D28:32C2448,977
C22.D2833C2 = C42.102D14φ: trivial image224C2^2.D28:33C2448,991

Non-split extensions G=N.Q with N=C22.D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.D28.1C2 = C42.96D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28.1C2448,984
C22.D28.2C2 = C14.772- 1+4φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28.2C2448,1095
C22.D28.3C2 = C42.165D14φ: C2/C1C2 ⊆ Out C22.D28224C2^2.D28.3C2448,1165

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