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Label | Name | Order | Exponent | $\card{\mathrm{conj}(G)}$ | Center | Type - length |
---|---|---|---|---|---|---|
1501.1 | $C_{1501}$ | $19 \cdot 79$ | $19 \cdot 79$ | $1501$ | $C_{1501}$ | Cyclic |
1502.1 | $D_{751}$ | $2 \cdot 751$ | $2 \cdot 751$ | $377$ | $C_1$ | Solvable - 2 |
1502.2 | $C_{1502}$ | $2 \cdot 751$ | $2 \cdot 751$ | $1502$ | $C_{1502}$ | Cyclic |
1503.1 | $C_{1503}$ | $3^{2} \cdot 167$ | $3^{2} \cdot 167$ | $1503$ | $C_{1503}$ | Cyclic |
1503.2 | $C_3\times C_{501}$ | $3^{2} \cdot 167$ | $3 \cdot 167$ | $1503$ | $C_3\times C_{501}$ | Abelian - 2 |
1504.1 | $C_{1504}$ | $2^{5} \cdot 47$ | $2^{5} \cdot 47$ | $1504$ | $C_{1504}$ | Cyclic |
1504.2 | $C_{94}.C_4^2$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2^2\times C_{94}$ | Nilpotent - 2 |
1504.3 | $C_4\times C_{376}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $1504$ | $C_4\times C_{376}$ | Abelian - 2 |
1504.4 | $C_8:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.5 | $C_2^2:C_{376}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.6 | $C_2^3:C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 3 |
1504.7 | $\OD_{16}:C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 3 |
1504.8 | $C_{188}.D_4$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 3 |
1504.9 | $D_4:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.10 | $Q_8:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.11 | $D_4:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_{188}$ | Nilpotent - 3 |
1504.12 | $C_4:C_{376}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.13 | $C_8:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.14 | $C_8:C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.15 | $C_8.C_{188}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_{188}$ | Nilpotent - 3 |
1504.16 | $C_2\times C_{752}$ | $2^{5} \cdot 47$ | $2^{4} \cdot 47$ | $1504$ | $C_2\times C_{752}$ | Abelian - 2 |
1504.17 | $\OD_{32}\times C_{47}$ | $2^{5} \cdot 47$ | $2^{4} \cdot 47$ | $940$ | $C_{376}$ | Nilpotent - 2 |
1504.18 | $D_{16}\times C_{47}$ | $2^{5} \cdot 47$ | $2^{4} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 4 |
1504.19 | $\SD_{32}\times C_{47}$ | $2^{5} \cdot 47$ | $2^{4} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 4 |
1504.20 | $Q_{32}\times C_{47}$ | $2^{5} \cdot 47$ | $2^{4} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 4 |
1504.21 | $C_2\times C_4\times C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $1504$ | $C_2\times C_4\times C_{188}$ | Abelian - 3 |
1504.22 | $C_2^3:C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2^2\times C_{94}$ | Nilpotent - 2 |
1504.23 | $C_2\times C_4:C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2^2\times C_{94}$ | Nilpotent - 2 |
1504.24 | $C_4^2:C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.25 | $D_4\times C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.26 | $Q_8\times C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.27 | $C_2^4:C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.28 | $C_{188}:D_4$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.29 | $C_{188}.D_4$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.30 | $(C_2^2\times C_4):C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.31 | $C_4^2:C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.32 | $C_4^2.C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.33 | $C_4^2:C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.34 | $C_4^2:C_{94}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.35 | $C_{188}:Q_8$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 2 |
1504.36 | $C_2^2\times C_{376}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $1504$ | $C_2^2\times C_{376}$ | Abelian - 3 |
1504.37 | $\OD_{16}\times C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $940$ | $C_2\times C_{188}$ | Nilpotent - 2 |
1504.38 | $\OD_{16}:C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $940$ | $C_{376}$ | Nilpotent - 2 |
1504.39 | $D_8\times C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.40 | $\SD_{16}\times C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.41 | $Q_{16}\times C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_2\times C_{94}$ | Nilpotent - 3 |
1504.42 | $D_8:C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $658$ | $C_{188}$ | Nilpotent - 3 |
1504.43 | $D_8:C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 3 |
1504.44 | $Q_{16}:C_{94}$ | $2^{5} \cdot 47$ | $2^{3} \cdot 47$ | $517$ | $C_{94}$ | Nilpotent - 3 |
1504.45 | $C_2^3\times C_{188}$ | $2^{5} \cdot 47$ | $2^{2} \cdot 47$ | $1504$ | $C_2^3\times C_{188}$ | Abelian - 4 |