# Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D15

Direct product G=N×Q with N=C22 and Q=C22×D15
dρLabelID
C24×D15240C2^4xD15480,1212

Semidirect products G=N:Q with N=C22 and Q=C22×D15
extensionφ:Q→Aut NdρLabelID
C22⋊(C22×D15) = C22×C5⋊S4φ: C22×D15/C2×C10S3 ⊆ Aut C2260C2^2:(C2^2xD15)480,1199
C222(C22×D15) = C2×D4×D15φ: C22×D15/D30C2 ⊆ Aut C22120C2^2:2(C2^2xD15)480,1169
C223(C22×D15) = C22×C157D4φ: C22×D15/C2×C30C2 ⊆ Aut C22240C2^2:3(C2^2xD15)480,1179

Non-split extensions G=N.Q with N=C22 and Q=C22×D15
extensionφ:Q→Aut NdρLabelID
C22.1(C22×D15) = C2×D42D15φ: C22×D15/D30C2 ⊆ Aut C22240C2^2.1(C2^2xD15)480,1170
C22.2(C22×D15) = C4○D4×D15φ: C22×D15/D30C2 ⊆ Aut C221204C2^2.2(C2^2xD15)480,1175
C22.3(C22×D15) = D48D30φ: C22×D15/D30C2 ⊆ Aut C221204+C2^2.3(C2^2xD15)480,1176
C22.4(C22×D15) = D4.10D30φ: C22×D15/D30C2 ⊆ Aut C222404-C2^2.4(C2^2xD15)480,1177
C22.5(C22×D15) = C2×D6011C2φ: C22×D15/C2×C30C2 ⊆ Aut C22240C2^2.5(C2^2xD15)480,1168
C22.6(C22×D15) = D46D30φ: C22×D15/C2×C30C2 ⊆ Aut C221204C2^2.6(C2^2xD15)480,1171
C22.7(C22×D15) = Q8.15D30φ: C22×D15/C2×C30C2 ⊆ Aut C222404C2^2.7(C2^2xD15)480,1174
C22.8(C22×D15) = C4×Dic30central extension (φ=1)480C2^2.8(C2^2xD15)480,833
C22.9(C22×D15) = C42×D15central extension (φ=1)240C2^2.9(C2^2xD15)480,836
C22.10(C22×D15) = C422D15central extension (φ=1)240C2^2.10(C2^2xD15)480,837
C22.11(C22×D15) = C4×D60central extension (φ=1)240C2^2.11(C2^2xD15)480,838
C22.12(C22×D15) = C23.15D30central extension (φ=1)240C2^2.12(C2^2xD15)480,842
C22.13(C22×D15) = C22⋊C4×D15central extension (φ=1)120C2^2.13(C2^2xD15)480,845
C22.14(C22×D15) = Dic1519D4central extension (φ=1)240C2^2.14(C2^2xD15)480,846
C22.15(C22×D15) = Dic1510Q8central extension (φ=1)480C2^2.15(C2^2xD15)480,852
C22.16(C22×D15) = C4⋊C4×D15central extension (φ=1)240C2^2.16(C2^2xD15)480,856
C22.17(C22×D15) = C4⋊C47D15central extension (φ=1)240C2^2.17(C2^2xD15)480,857
C22.18(C22×D15) = D6011C4central extension (φ=1)240C2^2.18(C2^2xD15)480,858
C22.19(C22×D15) = C2×C4×Dic15central extension (φ=1)480C2^2.19(C2^2xD15)480,887
C22.20(C22×D15) = C2×C30.4Q8central extension (φ=1)480C2^2.20(C2^2xD15)480,888
C22.21(C22×D15) = C2×C605C4central extension (φ=1)480C2^2.21(C2^2xD15)480,890
C22.22(C22×D15) = C23.26D30central extension (φ=1)240C2^2.22(C2^2xD15)480,891
C22.23(C22×D15) = C2×D303C4central extension (φ=1)240C2^2.23(C2^2xD15)480,892
C22.24(C22×D15) = C4×C157D4central extension (φ=1)240C2^2.24(C2^2xD15)480,893
C22.25(C22×D15) = D4×Dic15central extension (φ=1)240C2^2.25(C2^2xD15)480,899
C22.26(C22×D15) = Q8×Dic15central extension (φ=1)480C2^2.26(C2^2xD15)480,910
C22.27(C22×D15) = C2×C30.38D4central extension (φ=1)240C2^2.27(C2^2xD15)480,917
C22.28(C22×D15) = C22×Dic30central extension (φ=1)480C2^2.28(C2^2xD15)480,1165
C22.29(C22×D15) = C22×C4×D15central extension (φ=1)240C2^2.29(C2^2xD15)480,1166
C22.30(C22×D15) = C22×D60central extension (φ=1)240C2^2.30(C2^2xD15)480,1167
C22.31(C22×D15) = C2×Q8×D15central extension (φ=1)240C2^2.31(C2^2xD15)480,1172
C22.32(C22×D15) = C2×Q83D15central extension (φ=1)240C2^2.32(C2^2xD15)480,1173
C22.33(C22×D15) = C23×Dic15central extension (φ=1)480C2^2.33(C2^2xD15)480,1178
C22.34(C22×D15) = C608Q8central stem extension (φ=1)480C2^2.34(C2^2xD15)480,834
C22.35(C22×D15) = C60.24Q8central stem extension (φ=1)480C2^2.35(C2^2xD15)480,835
C22.36(C22×D15) = C426D15central stem extension (φ=1)240C2^2.36(C2^2xD15)480,839
C22.37(C22×D15) = C427D15central stem extension (φ=1)240C2^2.37(C2^2xD15)480,840
C22.38(C22×D15) = C423D15central stem extension (φ=1)240C2^2.38(C2^2xD15)480,841
C22.39(C22×D15) = C222Dic30central stem extension (φ=1)240C2^2.39(C2^2xD15)480,843
C22.40(C22×D15) = C23.8D30central stem extension (φ=1)240C2^2.40(C2^2xD15)480,844
C22.41(C22×D15) = D3016D4central stem extension (φ=1)120C2^2.41(C2^2xD15)480,847
C22.42(C22×D15) = D30.28D4central stem extension (φ=1)240C2^2.42(C2^2xD15)480,848
C22.43(C22×D15) = D309D4central stem extension (φ=1)240C2^2.43(C2^2xD15)480,849
C22.44(C22×D15) = C23.11D30central stem extension (φ=1)240C2^2.44(C2^2xD15)480,850
C22.45(C22×D15) = C22.D60central stem extension (φ=1)240C2^2.45(C2^2xD15)480,851
C22.46(C22×D15) = C4⋊Dic30central stem extension (φ=1)480C2^2.46(C2^2xD15)480,853
C22.47(C22×D15) = Dic15.3Q8central stem extension (φ=1)480C2^2.47(C2^2xD15)480,854
C22.48(C22×D15) = C4.Dic30central stem extension (φ=1)480C2^2.48(C2^2xD15)480,855
C22.49(C22×D15) = D30.29D4central stem extension (φ=1)240C2^2.49(C2^2xD15)480,859
C22.50(C22×D15) = C4⋊D60central stem extension (φ=1)240C2^2.50(C2^2xD15)480,860
C22.51(C22×D15) = D305Q8central stem extension (φ=1)240C2^2.51(C2^2xD15)480,861
C22.52(C22×D15) = D306Q8central stem extension (φ=1)240C2^2.52(C2^2xD15)480,862
C22.53(C22×D15) = C4⋊C4⋊D15central stem extension (φ=1)240C2^2.53(C2^2xD15)480,863
C22.54(C22×D15) = C60.205D4central stem extension (φ=1)240C2^2.54(C2^2xD15)480,889
C22.55(C22×D15) = C23.28D30central stem extension (φ=1)240C2^2.55(C2^2xD15)480,894
C22.56(C22×D15) = C6029D4central stem extension (φ=1)240C2^2.56(C2^2xD15)480,895
C22.57(C22×D15) = C23.22D30central stem extension (φ=1)240C2^2.57(C2^2xD15)480,900
C22.58(C22×D15) = C60.17D4central stem extension (φ=1)240C2^2.58(C2^2xD15)480,901
C22.59(C22×D15) = D3017D4central stem extension (φ=1)120C2^2.59(C2^2xD15)480,902
C22.60(C22×D15) = C602D4central stem extension (φ=1)240C2^2.60(C2^2xD15)480,903
C22.61(C22×D15) = Dic1512D4central stem extension (φ=1)240C2^2.61(C2^2xD15)480,904
C22.62(C22×D15) = C603D4central stem extension (φ=1)240C2^2.62(C2^2xD15)480,905
C22.63(C22×D15) = Dic154Q8central stem extension (φ=1)480C2^2.63(C2^2xD15)480,909
C22.64(C22×D15) = D307Q8central stem extension (φ=1)240C2^2.64(C2^2xD15)480,911
C22.65(C22×D15) = C60.23D4central stem extension (φ=1)240C2^2.65(C2^2xD15)480,912
C22.66(C22×D15) = C245D15central stem extension (φ=1)120C2^2.66(C2^2xD15)480,918

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