Extensions 1→N→G→Q→1 with N=C4 and Q=C4xF5

Direct product G=NxQ with N=C4 and Q=C4xF5
dρLabelID
C42xF580C4^2xF5320,1023

Semidirect products G=N:Q with N=C4 and Q=C4xF5
extensionφ:Q→Aut NdρLabelID
C4:1(C4xF5) = C4xC4:F5φ: C4xF5/C4xD5C2 ⊆ Aut C480C4:1(C4xF5)320,1025
C4:2(C4xF5) = C4:C4xF5φ: C4xF5/C2xF5C2 ⊆ Aut C480C4:2(C4xF5)320,1048

Non-split extensions G=N.Q with N=C4 and Q=C4xF5
extensionφ:Q→Aut NdρLabelID
C4.1(C4xF5) = C42:6F5φ: C4xF5/C4xD5C2 ⊆ Aut C4404C4.1(C4xF5)320,200
C4.2(C4xF5) = D10.10D8φ: C4xF5/C4xD5C2 ⊆ Aut C480C4.2(C4xF5)320,231
C4.3(C4xF5) = C20.10C42φ: C4xF5/C4xD5C2 ⊆ Aut C4160C4.3(C4xF5)320,234
C4.4(C4xF5) = C4xC4.F5φ: C4xF5/C4xD5C2 ⊆ Aut C4160C4.4(C4xF5)320,1015
C4.5(C4xF5) = C20.12C42φ: C4xF5/C4xD5C2 ⊆ Aut C4804C4.5(C4xF5)320,1056
C4.6(C4xF5) = D10.18D8φ: C4xF5/C2xF5C2 ⊆ Aut C480C4.6(C4xF5)320,212
C4.7(C4xF5) = C20.C42φ: C4xF5/C2xF5C2 ⊆ Aut C480C4.7(C4xF5)320,213
C4.8(C4xF5) = M4(2):3F5φ: C4xF5/C2xF5C2 ⊆ Aut C4408C4.8(C4xF5)320,238
C4.9(C4xF5) = M4(2).F5φ: C4xF5/C2xF5C2 ⊆ Aut C4808C4.9(C4xF5)320,239
C4.10(C4xF5) = D10.C42φ: C4xF5/C2xF5C2 ⊆ Aut C4160C4.10(C4xF5)320,1039
C4.11(C4xF5) = M4(2)xF5φ: C4xF5/C2xF5C2 ⊆ Aut C4408C4.11(C4xF5)320,1064
C4.12(C4xF5) = M4(2):5F5φ: C4xF5/C2xF5C2 ⊆ Aut C4808C4.12(C4xF5)320,1066
C4.13(C4xF5) = C16xF5central extension (φ=1)804C4.13(C4xF5)320,181
C4.14(C4xF5) = C16:7F5central extension (φ=1)804C4.14(C4xF5)320,182
C4.15(C4xF5) = C4xC5:C16central extension (φ=1)320C4.15(C4xF5)320,195
C4.16(C4xF5) = C42.4F5central extension (φ=1)320C4.16(C4xF5)320,197
C4.17(C4xF5) = Dic5:C16central extension (φ=1)320C4.17(C4xF5)320,223
C4.18(C4xF5) = C40.C8central extension (φ=1)320C4.18(C4xF5)320,224
C4.19(C4xF5) = C4xD5:C8central extension (φ=1)160C4.19(C4xF5)320,1013
C4.20(C4xF5) = C42.5F5central extension (φ=1)160C4.20(C4xF5)320,1014
C4.21(C4xF5) = C42:4F5central extension (φ=1)80C4.21(C4xF5)320,1024
C4.22(C4xF5) = C2xC8xF5central extension (φ=1)80C4.22(C4xF5)320,1054
C4.23(C4xF5) = C2xC8:F5central extension (φ=1)80C4.23(C4xF5)320,1055
C4.24(C4xF5) = C16:F5central stem extension (φ=1)804C4.24(C4xF5)320,183
C4.25(C4xF5) = C16:4F5central stem extension (φ=1)804C4.25(C4xF5)320,184
C4.26(C4xF5) = C42.3F5central stem extension (φ=1)804C4.26(C4xF5)320,198
C4.27(C4xF5) = C42:3F5central stem extension (φ=1)804C4.27(C4xF5)320,201
C4.28(C4xF5) = C20.23C42central stem extension (φ=1)804C4.28(C4xF5)320,228
C4.29(C4xF5) = C20.24C42central stem extension (φ=1)804C4.29(C4xF5)320,233
C4.30(C4xF5) = C20.25C42central stem extension (φ=1)804C4.30(C4xF5)320,235

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