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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
192.1400.96.b1 $C_2$ $2$ $C_2^2\times C_4\times C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1401.96.a1 $C_2$ $2$ $C_2^4:C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1402.96.c1 $C_2$ $2$ $C_2^2\times C_4:C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1403.96.b1 $C_2$ $2$ $C_2\times C_4^2:C_6$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1404.96.c1 $C_2$ $2$ $C_2\times D_4\times C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1405.96.c1 $C_2$ $2$ $C_2\times Q_8\times C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1406.96.b1 $C_2$ $2$ $C_4\times D_4:C_6$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1407.96.a1 $C_2$ $2$ $C_3\times C_4^2:C_2^2$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1408.96.a1 $C_2$ $2$ $(C_2\times Q_8):C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1409.96.a1 $C_2$ $2$ $D_4:(C_2\times C_{12})$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1454.96.b1 $C_2$ $2$ $C_2^3\times C_{24}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1455.96.b1 $C_2$ $2$ $C_{24}:C_2^3$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1456.96.b1 $C_2$ $2$ $C_{12}.C_2^4$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1457.96.a1 $C_2$ $2$ $C_{12}.C_2^4$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
192.1530.96.a1 $C_2$ $2$ $C_2^4\times C_{12}$ $2^{6} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
288.367.96.a1 $C_3$ $3$ $C_2^3\times C_{36}$ $2^{5} \cdot 3^{2}$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
288.989.96.b1 $C_3$ $3$ $C_6^2.C_2^3$ $2^{5} \cdot 3^{2}$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
288.1001.96.b1 $C_3$ $3$ $C_6^2.C_2^3$ $2^{5} \cdot 3^{2}$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
288.1018.96.a1 $C_3$ $3$ $C_2^2\times C_6\times C_{12}$ $2^{5} \cdot 3^{2}$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
384.20101.96.d1 $C_2^2$ $2^{2}$ $C_2^5:C_{12}$ $2^{7} \cdot 3$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
480.1136.96.a1 $C_5$ $5$ $5$ $C_{60}:C_2^3$ $2^{5} \cdot 3 \cdot 5$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
480.1148.96.a1 $C_5$ $5$ $5$ $C_{30}.C_2^4$ $2^{5} \cdot 3 \cdot 5$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
480.1180.96.a1 $C_5$ $5$ $5$ $C_2^3\times C_{60}$ $2^{5} \cdot 3 \cdot 5$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
480.1205.96.a1 $C_5$ $5$ $5$ $C_2^2\times C_6\times F_5$ $2^{5} \cdot 3 \cdot 5$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1090.96.a1 $C_7$ $7$ $7$ $C_4\times C_2^2\times F_7$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1102.96.a1 $C_7$ $7$ $7$ $C_2^4.F_7$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1179.96.a1 $C_7$ $7$ $7$ $C_2^2\times C_{14}:C_{12}$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1204.96.a1 $C_7$ $7$ $7$ $C_{84}:C_2^3$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1216.96.a1 $C_7$ $7$ $7$ $C_{42}.C_2^4$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
672.1248.96.a1 $C_7$ $7$ $7$ $C_2^3\times C_{84}$ $2^{5} \cdot 3 \cdot 7$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
864.4715.96.a1 $C_3^2$ $3^{2}$ $C_6^3:C_4$ $2^{5} \cdot 3^{3}$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1056.965.96.a1 $C_{11}$ $11$ $11$ $C_{132}:C_2^3$ $2^{5} \cdot 3 \cdot 11$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1056.977.96.a1 $C_{11}$ $11$ $11$ $C_{66}.C_2^4$ $2^{5} \cdot 3 \cdot 11$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1056.1009.96.a1 $C_{11}$ $11$ $11$ $C_2^3\times C_{132}$ $2^{5} \cdot 3 \cdot 11$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1243.96.a1 $C_{13}$ $13$ $13$ $C_2\times D_{26}:C_{12}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1255.96.a1 $C_{13}$ $13$ $13$ $C_2^2\times C_{26}:C_{12}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1358.96.a1 $C_{13}$ $13$ $13$ $C_2^2\times C_{26}:C_{12}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1383.96.a1 $C_{13}$ $13$ $13$ $C_{156}:C_2^3$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1395.96.a1 $C_{13}$ $13$ $13$ $C_{78}.C_2^4$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1427.96.a1 $C_{13}$ $13$ $13$ $C_2^3\times C_{156}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1435.96.a1 $C_{13}$ $13$ $13$ $C_2^3\times F_{13}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1248.1449.96.a1 $C_{13}$ $13$ $13$ $C_2\times D_{26}:C_{12}$ $2^{5} \cdot 3 \cdot 13$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1632.1136.96.a1 $C_{17}$ $17$ $17$ $C_{204}:C_2^3$ $2^{5} \cdot 3 \cdot 17$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1632.1148.96.a1 $C_{17}$ $17$ $17$ $C_{102}.C_2^4$ $2^{5} \cdot 3 \cdot 17$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1632.1180.96.a1 $C_{17}$ $17$ $17$ $C_2^3\times C_{204}$ $2^{5} \cdot 3 \cdot 17$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1632.1205.96.a1 $C_{17}$ $17$ $17$ $C_2\times D_{34}:C_{12}$ $2^{5} \cdot 3 \cdot 17$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1824.1081.96.a1 $C_{19}$ $19$ $19$ $C_2\times D_{38}:C_{12}$ $2^{5} \cdot 3 \cdot 19$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1824.1093.96.a1 $C_{19}$ $19$ $19$ $C_2^2\times C_{38}:C_{12}$ $2^{5} \cdot 3 \cdot 19$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1824.1170.96.a1 $C_{19}$ $19$ $19$ $C_2^2\times C_{38}:C_{12}$ $2^{5} \cdot 3 \cdot 19$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
1824.1195.96.a1 $C_{19}$ $19$ $19$ $C_{228}:C_2^3$ $2^{5} \cdot 3 \cdot 19$ $C_2^3\times C_{12}$ $2^{5} \cdot 3$
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