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Extensions 1→N→G→Q→1 with N=C6 and Q=C22×D5

Direct product G=N×Q with N=C6 and Q=C22×D5
dρLabelID
D5×C22×C6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=C6 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22×D5) = C22×S3×D5φ: C22×D5/D10 → C2 ⊆ Aut C660C6:1(C2^2xD5)240,202
C6⋊2(C22×D5) = C23×D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C6120C6:2(C2^2xD5)240,207

Non-split extensions G=N.Q with N=C6 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C6.1(C22×D5) = D5×Dic6φ: C22×D5/D10 → C2 ⊆ Aut C61204-C6.1(C2^2xD5)240,125
C6.2(C22×D5) = D20⋊5S3φ: C22×D5/D10 → C2 ⊆ Aut C61204-C6.2(C2^2xD5)240,126
C6.3(C22×D5) = D20⋊S3φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.3(C2^2xD5)240,127
C6.4(C22×D5) = S3×Dic10φ: C22×D5/D10 → C2 ⊆ Aut C61204-C6.4(C2^2xD5)240,128
C6.5(C22×D5) = D12⋊D5φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.5(C2^2xD5)240,129
C6.6(C22×D5) = D60⋊C2φ: C22×D5/D10 → C2 ⊆ Aut C61204+C6.6(C2^2xD5)240,130
C6.7(C22×D5) = D15⋊Q8φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.7(C2^2xD5)240,131
C6.8(C22×D5) = D6.D10φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.8(C2^2xD5)240,132
C6.9(C22×D5) = D12⋊5D5φ: C22×D5/D10 → C2 ⊆ Aut C61204-C6.9(C2^2xD5)240,133
C6.10(C22×D5) = C12.28D10φ: C22×D5/D10 → C2 ⊆ Aut C61204+C6.10(C2^2xD5)240,134
C6.11(C22×D5) = C4×S3×D5φ: C22×D5/D10 → C2 ⊆ Aut C6604C6.11(C2^2xD5)240,135
C6.12(C22×D5) = D5×D12φ: C22×D5/D10 → C2 ⊆ Aut C6604+C6.12(C2^2xD5)240,136
C6.13(C22×D5) = S3×D20φ: C22×D5/D10 → C2 ⊆ Aut C6604+C6.13(C2^2xD5)240,137
C6.14(C22×D5) = C20⋊D6φ: C22×D5/D10 → C2 ⊆ Aut C6604C6.14(C2^2xD5)240,138
C6.15(C22×D5) = C2×D5×Dic3φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.15(C2^2xD5)240,139
C6.16(C22×D5) = Dic5.D6φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.16(C2^2xD5)240,140
C6.17(C22×D5) = C30.C23φ: C22×D5/D10 → C2 ⊆ Aut C61204-C6.17(C2^2xD5)240,141
C6.18(C22×D5) = C2×S3×Dic5φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.18(C2^2xD5)240,142
C6.19(C22×D5) = Dic3.D10φ: C22×D5/D10 → C2 ⊆ Aut C61204C6.19(C2^2xD5)240,143
C6.20(C22×D5) = C2×D30.C2φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.20(C2^2xD5)240,144
C6.21(C22×D5) = C2×C15⋊D4φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.21(C2^2xD5)240,145
C6.22(C22×D5) = C2×C3⋊D20φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.22(C2^2xD5)240,146
C6.23(C22×D5) = C2×C5⋊D12φ: C22×D5/D10 → C2 ⊆ Aut C6120C6.23(C2^2xD5)240,147
C6.24(C22×D5) = C2×C15⋊Q8φ: C22×D5/D10 → C2 ⊆ Aut C6240C6.24(C2^2xD5)240,148
C6.25(C22×D5) = D5×C3⋊D4φ: C22×D5/D10 → C2 ⊆ Aut C6604C6.25(C2^2xD5)240,149
C6.26(C22×D5) = S3×C5⋊D4φ: C22×D5/D10 → C2 ⊆ Aut C6604C6.26(C2^2xD5)240,150
C6.27(C22×D5) = D10⋊D6φ: C22×D5/D10 → C2 ⊆ Aut C6604+C6.27(C2^2xD5)240,151
C6.28(C22×D5) = C2×Dic30φ: C22×D5/C2×C10 → C2 ⊆ Aut C6240C6.28(C2^2xD5)240,175
C6.29(C22×D5) = C2×C4×D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C6120C6.29(C2^2xD5)240,176
C6.30(C22×D5) = C2×D60φ: C22×D5/C2×C10 → C2 ⊆ Aut C6120C6.30(C2^2xD5)240,177
C6.31(C22×D5) = D60⋊11C2φ: C22×D5/C2×C10 → C2 ⊆ Aut C61202C6.31(C2^2xD5)240,178
C6.32(C22×D5) = D4×D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C6604+C6.32(C2^2xD5)240,179
C6.33(C22×D5) = D4⋊2D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C61204-C6.33(C2^2xD5)240,180
C6.34(C22×D5) = Q8×D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C61204-C6.34(C2^2xD5)240,181
C6.35(C22×D5) = Q8⋊3D15φ: C22×D5/C2×C10 → C2 ⊆ Aut C61204+C6.35(C2^2xD5)240,182
C6.36(C22×D5) = C22×Dic15φ: C22×D5/C2×C10 → C2 ⊆ Aut C6240C6.36(C2^2xD5)240,183
C6.37(C22×D5) = C2×C15⋊7D4φ: C22×D5/C2×C10 → C2 ⊆ Aut C6120C6.37(C2^2xD5)240,184
C6.38(C22×D5) = C6×Dic10central extension (φ=1)240C6.38(C2^2xD5)240,155
C6.39(C22×D5) = D5×C2×C12central extension (φ=1)120C6.39(C2^2xD5)240,156
C6.40(C22×D5) = C6×D20central extension (φ=1)120C6.40(C2^2xD5)240,157
C6.41(C22×D5) = C3×C4○D20central extension (φ=1)1202C6.41(C2^2xD5)240,158
C6.42(C22×D5) = C3×D4×D5central extension (φ=1)604C6.42(C2^2xD5)240,159
C6.43(C22×D5) = C3×D4⋊2D5central extension (φ=1)1204C6.43(C2^2xD5)240,160
C6.44(C22×D5) = C3×Q8×D5central extension (φ=1)1204C6.44(C2^2xD5)240,161
C6.45(C22×D5) = C3×Q8⋊2D5central extension (φ=1)1204C6.45(C2^2xD5)240,162
C6.46(C22×D5) = C2×C6×Dic5central extension (φ=1)240C6.46(C2^2xD5)240,163
C6.47(C22×D5) = C6×C5⋊D4central extension (φ=1)120C6.47(C2^2xD5)240,164

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