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Extensions 1→N→G→Q→1 with N=C3×C15 and Q=C2×C4

Direct product G=N×Q with N=C3×C15 and Q=C2×C4
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C3×C15 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C3×C15)⋊1(C2×C4) = D5×C32⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C15308+(C3xC15):1(C2xC4)360,130
(C3×C15)⋊2(C2×C4) = C32⋊F5⋊C2φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C15308+(C3xC15):2(C2xC4)360,131
(C3×C15)⋊3(C2×C4) = C3×S3×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C15308(C3xC15):3(C2xC4)360,126
(C3×C15)⋊4(C2×C4) = C3⋊S3×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C1545(C3xC15):4(C2xC4)360,127
(C3×C15)⋊5(C2×C4) = S3×C3⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C15308(C3xC15):5(C2xC4)360,128
(C3×C15)⋊6(C2×C4) = C3⋊F5⋊S3φ: C2×C4/C1 → C2×C4 ⊆ Aut C3×C15308+(C3xC15):6(C2xC4)360,129
(C3×C15)⋊7(C2×C4) = C2×C32⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C3×C15604+(C3xC15):7(C2xC4)360,150
(C3×C15)⋊8(C2×C4) = C2×C32⋊3F5φ: C2×C4/C2 → C4 ⊆ Aut C3×C1590(C3xC15):8(C2xC4)360,147
(C3×C15)⋊9(C2×C4) = C6×C3⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C3×C15604(C3xC15):9(C2xC4)360,146
(C3×C15)⋊10(C2×C4) = C3×C6×F5φ: C2×C4/C2 → C4 ⊆ Aut C3×C1590(C3xC15):10(C2xC4)360,145
(C3×C15)⋊11(C2×C4) = C10×C32⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C3×C15604(C3xC15):11(C2xC4)360,148
(C3×C15)⋊12(C2×C4) = C2×C32⋊Dic5φ: C2×C4/C2 → C4 ⊆ Aut C3×C15604(C3xC15):12(C2xC4)360,149
(C3×C15)⋊13(C2×C4) = C3×D5×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3×C15604(C3xC15):13(C2xC4)360,58
(C3×C15)⋊14(C2×C4) = C3×S3×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204(C3xC15):14(C2xC4)360,59
(C3×C15)⋊15(C2×C4) = C3×D30.C2φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204(C3xC15):15(C2xC4)360,60
(C3×C15)⋊16(C2×C4) = D5×C3⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3×C15180(C3xC15):16(C2xC4)360,65
(C3×C15)⋊17(C2×C4) = C3⋊S3×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C3×C15180(C3xC15):17(C2xC4)360,66
(C3×C15)⋊18(C2×C4) = C30.D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C15180(C3xC15):18(C2xC4)360,67
(C3×C15)⋊19(C2×C4) = Dic3×D15φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204-(C3xC15):19(C2xC4)360,77
(C3×C15)⋊20(C2×C4) = S3×Dic15φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204-(C3xC15):20(C2xC4)360,78
(C3×C15)⋊21(C2×C4) = C6.D30φ: C2×C4/C2 → C22 ⊆ Aut C3×C15604+(C3xC15):21(C2xC4)360,79
(C3×C15)⋊22(C2×C4) = D30.S3φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204(C3xC15):22(C2xC4)360,84
(C3×C15)⋊23(C2×C4) = Dic15⋊S3φ: C2×C4/C2 → C22 ⊆ Aut C3×C15604(C3xC15):23(C2xC4)360,85
(C3×C15)⋊24(C2×C4) = C5×S3×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C3×C151204(C3xC15):24(C2xC4)360,72
(C3×C15)⋊25(C2×C4) = C5×C6.D6φ: C2×C4/C2 → C22 ⊆ Aut C3×C15604(C3xC15):25(C2xC4)360,73
(C3×C15)⋊26(C2×C4) = C4×C3⋊D15φ: C2×C4/C4 → C2 ⊆ Aut C3×C15180(C3xC15):26(C2xC4)360,111
(C3×C15)⋊27(C2×C4) = C12×D15φ: C2×C4/C4 → C2 ⊆ Aut C3×C151202(C3xC15):27(C2xC4)360,101
(C3×C15)⋊28(C2×C4) = D5×C3×C12φ: C2×C4/C4 → C2 ⊆ Aut C3×C15180(C3xC15):28(C2xC4)360,91
(C3×C15)⋊29(C2×C4) = S3×C60φ: C2×C4/C4 → C2 ⊆ Aut C3×C151202(C3xC15):29(C2xC4)360,96
(C3×C15)⋊30(C2×C4) = C3⋊S3×C20φ: C2×C4/C4 → C2 ⊆ Aut C3×C15180(C3xC15):30(C2xC4)360,106
(C3×C15)⋊31(C2×C4) = C2×C3⋊Dic15φ: C2×C4/C22 → C2 ⊆ Aut C3×C15360(C3xC15):31(C2xC4)360,113
(C3×C15)⋊32(C2×C4) = C6×Dic15φ: C2×C4/C22 → C2 ⊆ Aut C3×C15120(C3xC15):32(C2xC4)360,103
(C3×C15)⋊33(C2×C4) = C3×C6×Dic5φ: C2×C4/C22 → C2 ⊆ Aut C3×C15360(C3xC15):33(C2xC4)360,93
(C3×C15)⋊34(C2×C4) = Dic3×C30φ: C2×C4/C22 → C2 ⊆ Aut C3×C15120(C3xC15):34(C2xC4)360,98
(C3×C15)⋊35(C2×C4) = C10×C3⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C3×C15360(C3xC15):35(C2xC4)360,108


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