Finite Group Databasebeta

← Group #13170595

Character table — Group #13170595

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222222224444444444444444444466668888888888888812121212121212121212121212121212121212121818242424242424242424242424242424243636363636363636363636363636363636108108
order122333446661212333666666121212121212121212121222443666666121212121212122244666666661212121212121212886666666612121212121212124444812121212121212122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-1111111-1-1111111-1-1-1-11-11111-1-11-11111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-11-111111-1-1111111-1-111-1-1-1111-1-111-1111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111111111-1-1111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1-1-1-111-11-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ911-1111-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-111-1-111-1-1111111-1-1-1-1-1-111111-11111-1-11-1-1-1-1-11-11-1-111-1-111-1-111-1-11-1
χ1011-1111-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-11-1-1111-1-111-1-111-1-1-1-111-1-11-11-111-1-1-111-1-1-1111-1-11111-1-1-1-111-1-111-11
χ1111-1111-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-1-111-111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1111-11-111-1-1-111-11-1-11111-1-1-1-111-11
χ1211-1111-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1111-11111-11-11-1-1-111-1-11111-1-11-1
χ1311-1111-11111-1-1111-1-1-111111-1-111-1-1-1-11-11-111-1-1-1-1-1111-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-111111-1-1-11-1-1-1-1-11-11-1-1-111-1-11111-1-1-11
χ1411-1111-11111-1-1111-1-1-111111-1-111-1-1-1-11-11-111-1-1-1-1-1111-111-1-11-1-11-1-11111-1-1-1-111-1-111-1-11-1-1111-1-1-11-11-1-111-111-11-1-11111-1-1-1-1111-1
χ1511-1111-11111-1-1111-1-1-111111-1-111-1-1-1-11-11-111-1-1-1-1-1111-111-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-1111-1-1111-1-11-1-11111-1-1-1-111-1-1111-1
χ1611-1111-11111-1-1111-1-1-111111-1-111-1-1-1-11-11-111-1-1-1-1-1111-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-11-1-1-1-111-1111111-11-1-111-1-111-1-111-1-1-11
χ17222222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22-2-222222222-2-2-2-2-2-2-2000022-2-20000-2-222000000002-2000000-2200000000000000000000000
χ18222222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222-22222222-2-2-2-2-2-2-20000-2-222000022-2-200000000-220000002-200000000000000000000000
χ1922222-12222-1222-1-122-12-1-12-12-1-1-122-1-122222-12-1-1-1-1-12-1-1-1-1-1-102022-12-100-1-12-12-100-1-10002-1-100-1-102-1-100-1-1002200000-1-1-1-1000000
χ2022222-12222-1222-1-122-12-1-12-12-1-1-122-1-122222-12-1-1-1-1-12-1-1-1-1-1-10-20-22-12-100112-12-10011000-2-1-100110-2-1-1001100-2-2000001111000000
χ2122222-12222-1222-1-122-12-1-12-12-1-1-122-1-12-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-10202-21-2100-1-1-21-2100-1-100021100-1-1021100-1-100-2-2000001111000000
χ2222222-12222-1222-1-122-12-1-12-12-1-1-122-1-12-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-10-20-2-21-210011-21-210011000-21100110-2110011002200000-1-1-1-1000000
χ2322222-1-2-222-1-2-22-1-122-12-1-1-21-2111-2-211-22-2-22-12-1-1-1-1-1-211111100002-1-2100−i3i3-212-100−i3i30000-1100−i3i3001-100−i3i3000000000−i3i3−i3i3000000
χ2422222-1-2-222-1-2-22-1-122-12-1-1-21-2111-2-211-22-2-22-12-1-1-1-1-1-211111100002-1-2100i3−i3-212-100i3−i30000-1100i3−i3001-100i3−i3000000000i3−i3i3−i3000000
χ2522222-1-2-222-1-2-22-1-122-12-1-1-21-2111-2-211-2-222-2-12-1-1-1-1-1-21111110000-212-100−i3i32-1-2100−i3i300001-100−i3i300-1100−i3i3000000000i3−i3i3−i3000000
χ2622222-1-2-222-1-2-22-1-122-12-1-1-21-2111-2-211-2-222-2-12-1-1-1-1-1-21111110000-212-100i3−i32-1-2100i3−i300001-100i3−i300-1100i3−i3000000000−i3i3−i3i3000000
χ272222-12222-1222-12-12-12-12-1-12-12-1-1-1-12222222-1-12-1-1-1-1-12-1-1-1-1-12020-12-12-1-100-12-12-1-1000020-1-1-1-10020-1-1-1-10022000-1-1-1-10000000000
χ282222-12222-1222-12-12-12-12-1-12-12-1-1-1-12222222-1-12-1-1-1-1-12-1-1-1-1-1-20-20-12-121100-12-12110000-20-1-11100-20-1-11100-2-200011110000000000
χ292222-12222-1222-12-12-12-12-1-12-12-1-1-1-1222-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-120201-21-2-1-1001-21-2-1-100002011-1-1002011-1-100-2-200011110000000000
χ302222-12222-1222-12-12-12-12-1-12-12-1-1-1-1222-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-1-20-201-21-211001-21-2110000-20111100-2011110022000-1-1-1-10000000000
χ312222-12-2-22-12-2-2-12-12-12-12-11-21-21111-2-2-22-2-22-1-12-1-1-1-11-2111110000-121-2−i3i3001-2-12−i3i3000000-11−i3i300001-1−i3i30000000−i3i3−i3i30000000000
χ322222-12-2-22-12-2-2-12-12-12-12-11-21-21111-2-2-22-2-22-1-12-1-1-1-11-2111110000-121-2i3−i3001-2-12i3−i3000000-11i3−i300001-1i3−i30000000i3−i3i3−i30000000000
χ332222-12-2-22-12-2-2-12-12-12-12-11-21-21111-2-2-2-222-2-1-12-1-1-1-11-21111100001-2-12−i3i300-121-2−i3i30000001-1−i3i30000-11−i3i30000000i3−i3i3−i30000000000
χ342222-12-2-22-12-2-2-12-12-12-12-11-21-21111-2-2-2-222-2-1-12-1-1-1-11-21111100001-2-12i3−i300-121-2i3−i30000001-1i3−i30000-11i3−i30000000−i3i3−i3i30000000000
χ35222-12222-122-1-1-1-12-122-1-12222222-1-1-1-1-10000-1-1-12-1-1-1-1-12-1-1-1-12222000022220000222222-1-100-1-1-1-1-1-100-1-1-1-10000200000000-1-1-1-100
χ36222-12222-122-1-1-1-12-122-1-12222222-1-1-1-1-10000-1-1-12-1-1-1-1-12-1-1-1-12-22-2000022-2-2000022-2-2-2-2-1100-1-111-1100-1-1110000-200000000111100
χ37222-12222-122-1-1-1-12-122-1-12222222-1-1-1-1-10000-1-1-12-1-1-1-1-12-1-1-1-1-22-220000-2-2220000-2-222-2-21-10011-1-11-10011-1-10000-200000000111100
χ38222-12222-122-1-1-1-12-122-1-12222222-1-1-1-1-10000-1-1-12-1-1-1-1-12-1-1-1-1-2-2-2-20000-2-2-2-20000-2-2-2-22211001111110011110000200000000-1-1-1-100
χ3922-22222-222222222-2-2-2222-2-222-2-22222-222-2-22-2-2-2-2-22-2-22-2-222000022220000-2-2-2-20000000022000000-2-200000000000000000000000
χ4022-22222-222222222-2-2-2222-2-222-2-22222-2-2-2222-2-2-2-2-22-2-22-2-2220000-2-2-2-20000222200000000-2-20000002200000000000000000000000
χ4122-222-12-222-1222-1-1-2-212-1-1-212-11122-1-1-222-2-2-1-21111-1-21-111-1-100002-12-100−i3i3-21-2100i3−i30000-1-100−i3i3001100i3−i3000000000−i3i3i3−i3000000
χ4222-222-12-222-1222-1-1-2-212-1-1-212-11122-1-1-222-2-2-1-21111-1-21-111-1-100002-12-100i3−i3-21-2100−i3i30000-1-100i3−i3001100−i3i3000000000i3−i3−i3i3000000
χ4322-222-12-222-1222-1-1-2-212-1-1-212-11122-1-1-2-2-222-1-21111-1-21-111-1-10000-21-2100−i3i32-12-100i3−i300001100−i3i300-1-100i3−i3000000000i3−i3−i3i3000000
χ4422-222-12-222-1222-1-1-2-212-1-1-212-11122-1-1-2-2-222-1-21111-1-21-111-1-10000-21-2100i3−i32-12-100−i3i300001100i3−i300-1-100−i3i3000000000−i3i3i3−i3000000
χ4522-222-1-2222-1-2-22-1-1-2-212-1-12-1-21-1-1-2-21122-22-2-1-21111-12-11-1-111020-22-1-2100-1-12-1-2100110002-1100-1-10-2-110011002-200000-1-111000000
χ4622-222-1-2222-1-2-22-1-1-2-212-1-12-1-21-1-1-2-21122-22-2-1-21111-12-11-1-1110-2022-1-2100112-1-2100-1-1000-2-11001102-1100-1-100-220000011-1-1000000
χ4722-222-1-2222-1-2-22-1-1-2-212-1-12-1-21-1-1-2-2112-22-22-1-21111-12-11-1-111020-2-212-100-1-1-212-1001100021-100-1-10-21-1001100-220000011-1-1000000
χ4822-222-1-2222-1-2-22-1-1-2-212-1-12-1-21-1-1-2-2112-22-22-1-21111-12-11-1-1110-202-212-10011-212-100-1-1000-21-10011021-100-1-1002-200000-1-111000000
χ4922-22-122-22-1222-12-1-21-2-12-11-2-1211-1-122-222-2-2-11-2111-11-2-111-1-10000-12-12−i3i3001-21-2i3−i3000000-1-1−i3i3000011i3−i30000000−i3i3i3−i30000000000
χ5022-22-122-22-1222-12-1-21-2-12-11-2-1211-1-122-222-2-2-11-2111-11-2-111-1-10000-12-12i3−i3001-21-2−i3i3000000-1-1i3−i3000011−i3i30000000i3−i3−i3i30000000000
χ5122-22-122-22-1222-12-1-21-2-12-11-2-1211-1-122-2-2-222-11-2111-11-2-111-1-100001-21-2−i3i300-12-12i3−i300000011−i3i30000-1-1i3−i30000000i3−i3−i3i30000000000
χ5222-22-122-22-1222-12-1-21-2-12-11-2-1211-1-122-2-2-222-11-2111-11-2-111-1-100001-21-2i3−i300-12-12−i3i300000011i3−i30000-1-1−i3i30000000−i3i3i3−i30000000000
χ5322-22-12-222-12-2-2-12-1-21-2-12-1-121-2-1-111-2-222-22-2-11-2111-1-121-1-11120-20-121-2-1-100-121-211000020-11-1-100-20-1111002-2000-1-1110000000000
χ5422-22-12-222-12-2-2-12-1-21-2-12-1-121-2-1-111-2-222-22-2-11-2111-1-121-1-111-2020-121-21100-121-2-1-10000-20-11110020-11-1-100-2200011-1-10000000000
χ5522-22-12-222-12-2-2-12-1-21-2-12-1-121-2-1-111-2-22-22-22-11-2111-1-121-1-11120-201-2-12-1-1001-2-12110000201-1-1-100-201-11100-2200011-1-10000000000
χ5622-22-12-222-12-2-2-12-1-21-2-12-1-121-2-1-111-2-22-22-22-11-2111-1-121-1-111-20201-2-1211001-2-12-1-10000-201-11100201-1-1-1002-2000-1-1110000000000
χ5722-2-122-22-12211-1-121-2-2-1-1222-2-2221111-10000-111-211-1-1-1-2-1-11122-2-2000022220000-2-2-2-222-1-100-1-1-1-1110011110000-200000000-1-11100
χ5822-2-122-22-12211-1-121-2-2-1-1222-2-2221111-10000-111-211-1-1-1-2-1-1112-2-22000022-2-20000-2-222-2-2-1100-1-1111-10011-1-1000020000000011-1-100
χ5922-2-122-22-12211-1-121-2-2-1-1222-2-2221111-10000-111-211-1-1-1-2-1-111-222-20000-2-222000022-2-2-2-21-10011-1-1-1100-1-111000020000000011-1-100
χ6022-2-122-22-12211-1-121-2-2-1-1222-2-2221111-10000-111-211-1-1-1-2-1-111-2-2220000-2-2-2-2000022222211001111-1-100-1-1-1-10000-200000000-1-11100
χ614444-2-2444-2-244-2-214-2-2-2-21-2-2-2-211-2-2-2-2444441-2-21111-2-2111110000-2-2-2-20000-2-2-2-200000000110000001100000000000000000000000
χ624444-2-2444-2-244-2-214-2-2-2-21-2-2-2-211-2-2-2-24-4-4-4-41-2-21111-2-211111000022220000222200000000-1-1000000-1-100000000000000000000000
χ634444-2-2-4-44-2-2-4-4-2-214-2-2-2-212222-1-12222-44-4-441-2-2111122-1-1-1-1-10000-2-222000022-2-2000000001-1000000-1100000000000000000000000
χ644444-2-2-4-44-2-2-4-4-2-214-2-2-2-212222-1-12222-4-444-41-2-2111122-1-1-1-1-1000022-2-20000-2-22200000000-110000001-100000000000000000000000
χ65444-244-4-4-24422-2-24-244-2-24-4-4-4-4-4-4222220000-2-2-24-2-2-222-42222000000000000000000000000000000000000000000000000000000000
χ66444-24-244-24-2-2-2-21-2-24-2-21-24-24-2-2-2-2-211-200001-21-2111-21-211110404000000-2-2000000-2-2000-20000110-20000110000000000000000000
χ67444-24-244-24-2-2-2-21-2-24-2-21-24-24-2-2-2-2-211-200001-21-2111-21-211110-40-4000000220000002200020000-1-1020000-1-10000000000000000000
χ68444-24-2-4-4-24-222-21-2-24-2-21-2-42-422222-1-1200001-21-21112-12-1-1-1-10000000000−2i32i3000000−2i32i300000000i3−i3000000i3−i30000000000000000000
χ69444-24-2-4-4-24-222-21-2-24-2-21-2-42-422222-1-1200001-21-21112-12-1-1-1-100000000002i3−2i30000002i3−2i300000000−i3i3000000−i3i30000000000000000000
χ70444-2-2444-2-24-2-21-2-2-2-241-2-2-24-24-2-211-2-2-2000011-2-21111-2-2111140400000-2-2000000-2-20000-20001100-200011000000000000000000000
χ71444-2-2444-2-24-2-21-2-2-2-241-2-2-24-24-2-211-2-2-2000011-2-21111-2-21111-40-400000220000002200002000-1-1002000-1-1000000000000000000000
χ72444-2-24-4-4-2-24221-2-2-2-241-2-22-42-422-1-1222000011-2-2111-122-1-1-1-100000000−2i32i3000000−2i32i300000000i3−i3000000i3−i3000000000000000000000
χ73444-2-24-4-4-2-24221-2-2-2-241-2-22-42-422-1-1222000011-2-2111-122-1-1-1-1000000002i3−2i30000002i3−2i300000000−i3i3000000−i3i3000000000000000000000
χ7444-44-2-24-44-2-244-2-21-422-2-2122-2-2-1-1-2-2-2-2-444-4-4122-1-1-11221-1-1110000-2-2-2-2000022220000000011000000-1-100000000000000000000000
χ7544-44-2-24-44-2-244-2-21-422-2-2122-2-2-1-1-2-2-2-2-4-4-444122-1-1-11221-1-111000022220000-2-2-2-200000000-1-10000001100000000000000000000000
χ7644-44-2-2-444-2-2-4-4-2-21-422-2-21-2-22211222244-44-4122-1-1-11-2-2-111-1-10000-2-2220000-2-222000000001-10000001-100000000000000000000000
χ7744-44-2-2-444-2-2-4-4-2-21-422-2-21-2-2221122224-44-44122-1-1-11-2-2-111-1-1000022-2-2000022-2-200000000-11000000-1100000000000000000000000
χ7844-4-2444-4-244-2-2-2-242-4-4-2-24-4-444-4-4-2-2-2-220000-222-422-222422-2-2000000000000000000000000000000000000000000000000000000000
χ7944-4-24-24-4-24-2-2-2-21-22-42-21-2-424-222-2-2112000012-12-1-112-1-2-1-1110000000000−2i32i30000002i3−2i300000000i3−i3000000−i3i30000000000000000000
χ8044-4-24-24-4-24-2-2-2-21-22-42-21-2-424-222-2-2112000012-12-1-112-1-2-1-11100000000002i3−2i3000000−2i32i300000000−i3i3000000i3−i30000000000000000000
χ8144-4-24-2-44-24-222-21-22-42-21-24-2-42-2-222-1-1-2000012-12-1-11-21211-1-1040-4000000-2-200000022000-2000011020000-1-10000000000000000000
χ8244-4-24-2-44-24-222-21-22-42-21-24-2-42-2-222-1-1-2000012-12-1-11-21211-1-10-40400000022000000-2-200020000-1-10-20000110000000000000000000
χ8344-4-2-244-4-2-24-2-21-2-222-41-2-22-4-242211-2-2200001-122-1-11-12-2-1-11100000000−2i32i30000002i3−2i300000000i3−i3000000−i3i3000000000000000000000
χ8444-4-2-244-4-2-24-2-21-2-222-41-2-22-4-242211-2-2200001-122-1-11-12-2-1-111000000002i3−2i3000000−2i32i300000000−i3i3000000i3−i3000000000000000000000
χ8544-4-2-24-44-2-24221-2-222-41-2-2-242-4-2-2-1-122-200001-122-1-111-2211-1-140-400000-2-2000000220000-200011002000-1-1000000000000000000000
χ8644-4-2-24-44-2-24221-2-222-41-2-2-242-4-2-2-1-122-200001-122-1-111-2211-1-1-4040000022000000-2-200002000-1-100-200011000000000000000000000
χ874-4044400-4-4-400444000-4-4-4000000000000000400000-400000000000000000000000000022−220000000000000000000000000000022−220000
χ884-4044400-4-4-400444000-4-4-4000000000000000400000-4000000000000000000000000000−222200000000000000000000000000000−22220000
χ894-40-244002-4-423−23-2-2400022-400000023−2323−2300000-20000020000023−230000000000000000000022−2200000000000000000000000000000−226−600
χ904-40-244002-4-423−23-2-2400022-400000023−2323−2300000-20000020000023−2300000000000000000000−2222000000000000000000000000000002−2−6600
χ914-40-244002-4-4−2323-2-2400022-4000000−2323−232300000-200000200000−23230000000000000000000022−2200000000000000000000000000000−22−6600
χ924-40-244002-4-4−2323-2-2400022-4000000−2323−232300000-200000200000−232300000000000000000000−2222000000000000000000000000000002−26−600
χ93888-4-4-488-4-4-4-4-4222-4-4-4222-4-4-4-4222222-40000-1222-1-1-1222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ94888-4-4-4-8-8-4-4-444222-4-4-42224444-2-2-2-2-2-240000-1222-1-1-1-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9588-8-4-4-48-8-4-4-4-4-422244422244-4-4-2-2222240000-1-2-2-211-1-2-2211-1-1000000000000000000000000000000000000000000000000000000000
χ9688-8-4-4-4-88-4-4-444222444222-4-44422-2-2-2-2-40000-1-2-2-211-122-2-1-111000000000000000000000000000000000000000000000000000000000
χ978-8088-400-8-84008-4-4000-844000000000000000-40000040000000000000000000000000000000000000000000000000000000000000000
χ988-808-4800-84-800-48-40004-84000000000000000-40000040000000000000000000000000000000000000000000000000000000000000000
χ998-808-4-400-84400-4-4200044-200006i−6i000000000200000-20006i−6i00000000000000000000000000000000000000000000000000000000000
χ1008-808-4-400-84400-4-4200044-20000−6i6i000000000200000-2000−6i6i00000000000000000000000000000000000000000000000000000000000
χ1018-80-48-4004-8443−43-42-40004-2400000043−43−232300000200000-200000−2323000000000000000000000000000000000000000000000000000000000
χ1028-80-48-4004-84−4343-42-40004-24000000−434323−2300000200000-20000023−23000000000000000000000000000000000000000000000000000000000
χ1038-80-4-480044-843−432-4-4000-244000000−232343−4300000200000-200000−2323000000000000000000000000000000000000000000000000000000000
χ1048-80-4-480044-8−43432-4-4000-24400000023−23−434300000200000-20000023−23000000000000000000000000000000000000000000000000000000000
χ1058-80-4-4-40044443−43222000-2-2-200006i−6i−2323−232300000-1000−3i33i31000−3i3i3−3000000000000000000000000000000000000000000000000000000000
χ1068-80-4-4-40044443−43222000-2-2-20000−6i6i−2323−232300000-10003i3−3i310003i−3i3−3000000000000000000000000000000000000000000000000000000000
χ1078-80-4-4-400444−4343222000-2-2-200006i−6i23−2323−2300000-10003i3−3i31000−3i3i−33000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-400444−4343222000-2-2-20000−6i6i23−2323−2300000-1000−3i33i310003i−3i−33000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).