Extensions 1→N→G→Q→1 with N=C10 and Q=C2×Dic5

Direct product G=N×Q with N=C10 and Q=C2×Dic5
dρLabelID
Dic5×C2×C1080Dic5xC2xC10400,189

Semidirect products G=N:Q with N=C10 and Q=C2×Dic5
extensionφ:Q→Aut NdρLabelID
C10⋊(C2×Dic5) = C22×D5.D5φ: C2×Dic5/C10C4 ⊆ Aut C1080C10:(C2xDic5)400,215
C102(C2×Dic5) = C2×D5×Dic5φ: C2×Dic5/Dic5C2 ⊆ Aut C1080C10:2(C2xDic5)400,172
C103(C2×Dic5) = C22×C526C4φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10:3(C2xDic5)400,199

Non-split extensions G=N.Q with N=C10 and Q=C2×Dic5
extensionφ:Q→Aut NdρLabelID
C10.1(C2×Dic5) = C20.14F5φ: C2×Dic5/C10C4 ⊆ Aut C10804C10.1(C2xDic5)400,142
C10.2(C2×Dic5) = C20.12F5φ: C2×Dic5/C10C4 ⊆ Aut C10804C10.2(C2xDic5)400,143
C10.3(C2×Dic5) = C4×D5.D5φ: C2×Dic5/C10C4 ⊆ Aut C10804C10.3(C2xDic5)400,144
C10.4(C2×Dic5) = C205F5φ: C2×Dic5/C10C4 ⊆ Aut C10804C10.4(C2xDic5)400,145
C10.5(C2×Dic5) = C2×C523C8φ: C2×Dic5/C10C4 ⊆ Aut C1080C10.5(C2xDic5)400,146
C10.6(C2×Dic5) = C102.C4φ: C2×Dic5/C10C4 ⊆ Aut C10404C10.6(C2xDic5)400,147
C10.7(C2×Dic5) = D10.D10φ: C2×Dic5/C10C4 ⊆ Aut C10404C10.7(C2xDic5)400,148
C10.8(C2×Dic5) = D5×C52C8φ: C2×Dic5/Dic5C2 ⊆ Aut C10804C10.8(C2xDic5)400,60
C10.9(C2×Dic5) = C20.30D10φ: C2×Dic5/Dic5C2 ⊆ Aut C10804C10.9(C2xDic5)400,62
C10.10(C2×Dic5) = Dic52φ: C2×Dic5/Dic5C2 ⊆ Aut C1080C10.10(C2xDic5)400,71
C10.11(C2×Dic5) = D10⋊Dic5φ: C2×Dic5/Dic5C2 ⊆ Aut C1080C10.11(C2xDic5)400,72
C10.12(C2×Dic5) = Dic5⋊Dic5φ: C2×Dic5/Dic5C2 ⊆ Aut C1080C10.12(C2xDic5)400,74
C10.13(C2×Dic5) = C2×C252C8φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.13(C2xDic5)400,9
C10.14(C2×Dic5) = C4.Dic25φ: C2×Dic5/C2×C10C2 ⊆ Aut C102002C10.14(C2xDic5)400,10
C10.15(C2×Dic5) = C4×Dic25φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.15(C2xDic5)400,11
C10.16(C2×Dic5) = C4⋊Dic25φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.16(C2xDic5)400,13
C10.17(C2×Dic5) = C23.D25φ: C2×Dic5/C2×C10C2 ⊆ Aut C10200C10.17(C2xDic5)400,19
C10.18(C2×Dic5) = C22×Dic25φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.18(C2xDic5)400,43
C10.19(C2×Dic5) = C2×C527C8φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.19(C2xDic5)400,97
C10.20(C2×Dic5) = C20.59D10φ: C2×Dic5/C2×C10C2 ⊆ Aut C10200C10.20(C2xDic5)400,98
C10.21(C2×Dic5) = C4×C526C4φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.21(C2xDic5)400,99
C10.22(C2×Dic5) = C203Dic5φ: C2×Dic5/C2×C10C2 ⊆ Aut C10400C10.22(C2xDic5)400,101
C10.23(C2×Dic5) = C10211C4φ: C2×Dic5/C2×C10C2 ⊆ Aut C10200C10.23(C2xDic5)400,107
C10.24(C2×Dic5) = C10×C52C8central extension (φ=1)80C10.24(C2xDic5)400,81
C10.25(C2×Dic5) = C5×C4.Dic5central extension (φ=1)402C10.25(C2xDic5)400,82
C10.26(C2×Dic5) = Dic5×C20central extension (φ=1)80C10.26(C2xDic5)400,83
C10.27(C2×Dic5) = C5×C4⋊Dic5central extension (φ=1)80C10.27(C2xDic5)400,85
C10.28(C2×Dic5) = C5×C23.D5central extension (φ=1)40C10.28(C2xDic5)400,91

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