Finite Group Databasebeta

← Group #13168249

Character table — Group #13168249

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212444441212121212121212121212121212121212121212221212121212121212121212121212224446644661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111111111-1-11-111-1-111-1-111-1-11-1-11-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111111-1-111111111111111-1-1-11-1-111-1-111-1-111-1-11-11-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-11-1-1-11
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-11-11-1-111-1-1-1111
χ71111111111111111111111111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-11-1-1-1111-11-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-11-1-1-1-111-1-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-111111-1-1-1-11-11-1-111111-1-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111111111-1-1-1-111-1-11-11-1-1-1-1-11111-1-1-1111111-1-11-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1111-1-1-1-1-1-1111-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-11111-1-111-1-1-1-1-1-1-1-11111-1-11-1-111-111-1-1-1-111-1111-1-1-111-1111-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-11111-1-1-1-11-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-1-1-111111-11-1-111-1-11-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11-1-11111-1-111-1-11-1-11111-1-11-1
χ17222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1022220000-1-1-1-100000000000022-1-12222-1-1-1-1-1-1-1-102000-1-1000-10000
χ18222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1022-2-20000-1-111000000000000-2-2-1122-2-2-1-111-1-1110-20001100010000
χ19222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-222000011-1-1000000000000-2-21-1-2-22211-1-111-1-10-20001100010000
χ20222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000011110000000000002211-2-2-2-21111111102000-1-1000-10000
χ21222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-22-2000011-1-1000000000000-2-2-11-222-2-1-11111-1-10200011000-10000
χ22222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111102-2-220000111100000000000022-1-1-22-22-1-1-1-111110-2000-1-100010000
χ23222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-222-20000-1-1-1-100000000000022112-22-21111-1-1-1-10-2000-1-100010000
χ24222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111110-22-220000-1-111000000000000-2-21-12-2-2211-1-1-1-1110200011000-10000
χ2522222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-12220022-1-12200-1-122-1-1-1-1-1-1-1-10020-1-100-1-100-1-100200200000-10-1000
χ2622222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-12-2-20022-1-1-2-200-1-122-1-1-1-1-1-1-1-100-20110011001100-200-200000101000
χ2722222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-22200-2-211220011-2-2111111110020-1-100-1-100-1-100-200-200000101000
χ2822222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-200-2-211-2-20011-2-21111111100-20110011001100200200000-10-1000
χ2922222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-2111122-1-1-1-1-2-2-2111111-22-200-2-211-2-200-1-122-1-1-1-1111100201-100-1-1001100200-200000-101000
χ3022222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-2111122-1-1-1-1-2-2-2111111-2-2200-2-2112200-1-122-1-1-1-1111100-20-11001100-1-100-20020000010-1000
χ3122222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-21111-2-2-1-1-1-1-2-2-211111122-20022-1-1-2-20011-2-21111-1-1-1-100201-100-1-1001100-20020000010-1000
χ3222222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-21111-2-2-1-1-1-1-2-2-21111112-220022-1-1220011-2-21111-1-1-1-100-20-11001100-1-100200-200000-101000
χ332222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-120022-1-122002222-1-1-1-1-1-1-1-1-1-1000200-1-100-1-100-1-1002020000000-1-10
χ342222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1200-2-2-1-12200-2-222-1-1-1-1-1-1-1-1-1-1000-200110011001100-20-20000000110
χ352222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-2002211-2-20022-2-21111111111000200-1-100-1-100-1-100-20-20000000110
χ362222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-200-2-211-2-200-2-2-2-21111111111000-2001100110011002020000000-1-10
χ372222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-211111122-1-1-1-1-211-2-21111-2002-211-2-2002222-1-1-1-1-1-11111000-200-11001100-1-100-20200000001-10
χ382222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-211111122-1-1-1-1-211-2-21111-200-2211-2-200-2-222-1-1-1-1-1-111110002001-100-1-100110020-20000000-110
χ392222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-2111111-2-2-1-1-1-1-211-2-211112002-2-1-1220022-2-2111111-1-1-1-1000-200-11001100-1-10020-20000000-110
χ402222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-2111111-2-2-1-1-1-1-211-2-21111200-22-1-12200-2-2-2-2111111-1-1-1-10002001-100-1-1001100-20200000001-10
χ412-22-2222-2-2-22-22-22-22220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i00002-200000000000000000002-22i−2i000000
χ422-22-2222-2-2-22-22-22-22220-2-22-2-2-2-222000000002i−2i2-2-2200000000000000000000002i−2i2i−2i2i2i−2i−2i0000-220000000000000000000-22−2i2i000000
χ432-22-2222-2-2-22-22-22-22220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i00002-200000000000000000002-2−2i2i000000
χ442-22-2222-2-2-22-22-22-22220-2-22-2-2-2-22200000000−2i2i2-2-220000000000000000000000−2i2i−2i2i−2i−2i2i2i0000-220000000000000000000-222i−2i000000
χ4544444-2-24-2-2-2-2-2-244-2-214-21-2-2-2-21-21-2-244-2-2-2-2001111-2-2-2111111044000000-2-20000000000000000-20-2-20011001100000000000000000
χ4644444-2-24-2-2-2-2-2-244-2-214-21-2-2-2-21-21-2-244-2-2-2-2001111-2-2-21111110-4-4000000220000000000000000202200-1-100-1-100000000000000000
χ4744444-2-24-2-2-2-2-2-244-2-21-4-21-2-2-2-21-2122-4-42222001111222-1-1-1-1-1-104-4000000220000000000000000-202-2001100-1-100000000000000000
χ4844444-2-24-2-2-2-2-2-244-2-21-4-21-2-2-2-21-2122-4-42222001111222-1-1-1-1-1-10-44000000-2-2000000000000000020-2200-1-1001100000000000000000
χ494444-24-2-2-2-244-24-2-2-21-241-2-2-2-21-21-244-2-2-2-2-2-2001111-211-2-2111100044000000-2-2000000000000000-200-2-200110011000000000000000
χ504444-24-2-2-2-244-24-2-2-21-241-2-2-2-21-21-244-2-2-2-2-2-2001111-211-2-21111000-4-4000000220000000000000002002200-1-100-1-1000000000000000
χ514444-24-2-2-2-244-24-2-2-21-2-41-2-2-2-21-21-2-4-42222220011112-1-122-1-1-1-10004-4000000-2-2000000000000000200-2200-1-10011000000000000000
χ524444-24-2-2-2-244-24-2-2-21-2-41-2-2-2-21-21-2-4-42222220011112-1-122-1-1-1-1000-4400000022000000000000000-2002-2001100-1-1000000000000000
χ534444-2-24-244-2-24-2-2-21-2-24-2-2111-2-2-2-2-2-2-2-211114411114-2-2-2-2111140000-2-2-2-20000-2-2-2-2111111110000000000000000000000000000000
χ544444-2-24-244-2-24-2-2-21-2-24-2-2111-2-2-2-2-2-2-2-21111-4-411114-2-2-2-21111-40000222200002222-1-1-1-1-1-1-1-10000000000000000000000000000000
χ554444-2-24-244-2-24-2-2-21-2-2-4-2-2111-2-2-2-22222-1-1-1-1441111-42222-1-1-1-1-4000022220000-2-2-2-21111-1-1-1-10000000000000000000000000000000
χ564444-2-24-244-2-24-2-2-21-2-2-4-2-2111-2-2-2-22222-1-1-1-1-4-41111-42222-1-1-1-140000-2-2-2-200002222-1-1-1-111110000000000000000000000000000000
χ5744-4-444444-4-44-4-4-4-444404-4-44-4-44-4-4000000000044-4-400000000000000000000000000000000000000000000000000000000000000000
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χ954-4-44-2-242-4422-4-22-21-2-202-2-1-11-222200−23233−3−33001-11-10−2323003−3−33000000023−23000000003-3-33−333−30000000000000000000000000000000
χ964-4-44-2-242-4422-4-22-21-2-202-2-1-11-222200−23233−3−33001-11-10−2323003−3−330000000−232300000000-333-33−3−330000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-4-4-44-884-844-42-40244-44-2-4-24000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-444-4444422202-2-22-2-22-2-243−4300−23−23232300-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-444-4444422202-2-22-2-22-2-2−4343002323−23−2300-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4-844-44-448-8-4-4204-2-4444-2-4200000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-44448-8-4-8-44-42-40-24-444-242-400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444-44-44-442220-2-22-2-2-2-22200006-66-600-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-44-44-442220-2-22-2-2-2-2220000-66-6600-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1068-8-888-4-4-84-4444-4-88-4-4204244-4-4-24-200000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-4444-44-42220-22-2-222-2-2-20043−43−232323−2300-11-110−2323003−3−3300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-4444-44-42220-22-2-222-2-2-200−434323−23−232300-11-11023−2300−333−300000000000000000000000000000000000000000000000000000000

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