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Extensions 1→N→G→Q→1 with N=C10 and Q=C22xC8

Direct product G=NxQ with N=C10 and Q=C22xC8
dρLabelID
C23xC40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C10 and Q=C22xC8
extensionφ:Q→Aut NdρLabelID
C10:1(C22xC8) = C22xD5:C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10:1(C2^2xC8)320,1587
C10:2(C22xC8) = C23xC5:C8φ: C22xC8/C23 → C4 ⊆ Aut C10320C10:2(C2^2xC8)320,1605
C10:3(C22xC8) = D5xC22xC8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10:3(C2^2xC8)320,1408
C10:4(C22xC8) = C23xC5:2C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10320C10:4(C2^2xC8)320,1452

Non-split extensions G=N.Q with N=C10 and Q=C22xC8
extensionφ:Q→Aut NdρLabelID
C10.1(C22xC8) = C4xD5:C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.1(C2^2xC8)320,1013
C10.2(C22xC8) = C42.6F5φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.2(C2^2xC8)320,1016
C10.3(C22xC8) = C42.11F5φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.3(C2^2xC8)320,1017
C10.4(C22xC8) = C42.12F5φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.4(C2^2xC8)320,1018
C10.5(C22xC8) = C5:C8:8D4φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.5(C2^2xC8)320,1030
C10.6(C22xC8) = D20:2C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.6(C2^2xC8)320,1040
C10.7(C22xC8) = Dic10:C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10320C10.7(C2^2xC8)320,1041
C10.8(C22xC8) = C2xD5:C16φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.8(C2^2xC8)320,1051
C10.9(C22xC8) = C2xC8.F5φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.9(C2^2xC8)320,1052
C10.10(C22xC8) = D5:M5(2)φ: C22xC8/C2xC4 → C4 ⊆ Aut C10804C10.10(C2^2xC8)320,1053
C10.11(C22xC8) = Dic10.C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C101608C10.11(C2^2xC8)320,1063
C10.12(C22xC8) = C2xD10:C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.12(C2^2xC8)320,1089
C10.13(C22xC8) = C2xDic5:C8φ: C22xC8/C2xC4 → C4 ⊆ Aut C10320C10.13(C2^2xC8)320,1090
C10.14(C22xC8) = D10.11M4(2)φ: C22xC8/C2xC4 → C4 ⊆ Aut C1080C10.14(C2^2xC8)320,1091
C10.15(C22xC8) = C20.34M4(2)φ: C22xC8/C2xC4 → C4 ⊆ Aut C10160C10.15(C2^2xC8)320,1092
C10.16(C22xC8) = C22xC5:C16φ: C22xC8/C23 → C4 ⊆ Aut C10320C10.16(C2^2xC8)320,1080
C10.17(C22xC8) = C2xC20.C8φ: C22xC8/C23 → C4 ⊆ Aut C10160C10.17(C2^2xC8)320,1081
C10.18(C22xC8) = C2xC4xC5:C8φ: C22xC8/C23 → C4 ⊆ Aut C10320C10.18(C2^2xC8)320,1084
C10.19(C22xC8) = C2xC20:C8φ: C22xC8/C23 → C4 ⊆ Aut C10320C10.19(C2^2xC8)320,1085
C10.20(C22xC8) = Dic5.12M4(2)φ: C22xC8/C23 → C4 ⊆ Aut C10160C10.20(C2^2xC8)320,1086
C10.21(C22xC8) = D4xC5:C8φ: C22xC8/C23 → C4 ⊆ Aut C10160C10.21(C2^2xC8)320,1110
C10.22(C22xC8) = Q8xC5:C8φ: C22xC8/C23 → C4 ⊆ Aut C10320C10.22(C2^2xC8)320,1124
C10.23(C22xC8) = C5:C16.C22φ: C22xC8/C23 → C4 ⊆ Aut C101608C10.23(C2^2xC8)320,1129
C10.24(C22xC8) = C2xC23.2F5φ: C22xC8/C23 → C4 ⊆ Aut C10160C10.24(C2^2xC8)320,1135
C10.25(C22xC8) = C8xDic10φ: C22xC8/C2xC8 → C2 ⊆ Aut C10320C10.25(C2^2xC8)320,305
C10.26(C22xC8) = D5xC4xC8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.26(C2^2xC8)320,311
C10.27(C22xC8) = C42.282D10φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.27(C2^2xC8)320,312
C10.28(C22xC8) = C8xD20φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.28(C2^2xC8)320,313
C10.29(C22xC8) = Dic5.14M4(2)φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.29(C2^2xC8)320,345
C10.30(C22xC8) = D5xC22:C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C1080C10.30(C2^2xC8)320,351
C10.31(C22xC8) = C5:5(C8xD4)φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.31(C2^2xC8)320,352
C10.32(C22xC8) = Dic10:5C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10320C10.32(C2^2xC8)320,457
C10.33(C22xC8) = D5xC4:C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.33(C2^2xC8)320,459
C10.34(C22xC8) = C42.200D10φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.34(C2^2xC8)320,460
C10.35(C22xC8) = D20:5C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.35(C2^2xC8)320,461
C10.36(C22xC8) = D5xC2xC16φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.36(C2^2xC8)320,526
C10.37(C22xC8) = C2xC80:C2φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.37(C2^2xC8)320,527
C10.38(C22xC8) = D20.6C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C101602C10.38(C2^2xC8)320,528
C10.39(C22xC8) = D5xM5(2)φ: C22xC8/C2xC8 → C2 ⊆ Aut C10804C10.39(C2^2xC8)320,533
C10.40(C22xC8) = D20.5C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C101604C10.40(C2^2xC8)320,534
C10.41(C22xC8) = C2xC8xDic5φ: C22xC8/C2xC8 → C2 ⊆ Aut C10320C10.41(C2^2xC8)320,725
C10.42(C22xC8) = C2xC20.8Q8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10320C10.42(C2^2xC8)320,726
C10.43(C22xC8) = C2xD10:1C8φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.43(C2^2xC8)320,735
C10.44(C22xC8) = C8xC5:D4φ: C22xC8/C2xC8 → C2 ⊆ Aut C10160C10.44(C2^2xC8)320,736
C10.45(C22xC8) = C2xC4xC5:2C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10320C10.45(C2^2xC8)320,547
C10.46(C22xC8) = C2xC20:3C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10320C10.46(C2^2xC8)320,550
C10.47(C22xC8) = C42.6Dic5φ: C22xC8/C22xC4 → C2 ⊆ Aut C10160C10.47(C2^2xC8)320,552
C10.48(C22xC8) = D4xC5:2C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10160C10.48(C2^2xC8)320,637
C10.49(C22xC8) = Q8xC5:2C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10320C10.49(C2^2xC8)320,650
C10.50(C22xC8) = C22xC5:2C16φ: C22xC8/C22xC4 → C2 ⊆ Aut C10320C10.50(C2^2xC8)320,723
C10.51(C22xC8) = C2xC20.4C8φ: C22xC8/C22xC4 → C2 ⊆ Aut C10160C10.51(C2^2xC8)320,724
C10.52(C22xC8) = C40.70C23φ: C22xC8/C22xC4 → C2 ⊆ Aut C101604C10.52(C2^2xC8)320,767
C10.53(C22xC8) = C2xC20.55D4φ: C22xC8/C22xC4 → C2 ⊆ Aut C10160C10.53(C2^2xC8)320,833
C10.54(C22xC8) = C10xC22:C8central extension (φ=1)160C10.54(C2^2xC8)320,907
C10.55(C22xC8) = C10xC4:C8central extension (φ=1)320C10.55(C2^2xC8)320,923
C10.56(C22xC8) = C5xC42.12C4central extension (φ=1)160C10.56(C2^2xC8)320,932
C10.57(C22xC8) = D4xC40central extension (φ=1)160C10.57(C2^2xC8)320,935
C10.58(C22xC8) = Q8xC40central extension (φ=1)320C10.58(C2^2xC8)320,946
C10.59(C22xC8) = C10xM5(2)central extension (φ=1)160C10.59(C2^2xC8)320,1004
C10.60(C22xC8) = C5xD4oC16central extension (φ=1)1602C10.60(C2^2xC8)320,1005

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