Finite Group Databasebeta

← Group #13168157

Character table — Group #13168157

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666333466666666612121212121212122244121212123666121212121212121212444466661212121212121212121212121212121212124466121212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111111-1-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111111-1111-1-1-1-11111-1-1111111111111-1-1-1-1-1111-1-11111-1-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-11111-11-1-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1-11111-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-1111-1-1-11-1-111-1-11-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-11111-1-111-1-11-1-1-111-1-1-111-1111-1-111-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111-1-1-1-1-1-11111-1-111-11-11-1-1-1-11111-11-111-1-1-1-111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-11-11111-1-111-11-111-1-1-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-111-1111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11-11-11111-1-11-1-1-11-1-111-1-11-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1111-1-111-1-111-1-1-11111-11-11-1
χ17222222-1222-1-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1220022-1-12222-1-1-1-100-1-1-1-1-1-1-1-122-1-12000-1-1000002000-1-1-1-10000000
χ18222222-1222-1-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-12-20022-1-1-2-2-2-2-1-1110011111111-2-2-1-12000-1-100000-200011110000000
χ19222222-1222-1-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2200-2-211222211-1-100-1-1-1-1-1-1-1-1-2-211-20001100000-200011110000000
χ20222222-1222-1-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2-200-2-211-2-2-2-2111100111111112211-200011000002000-1-1-1-10000000
χ21222222-1222-1-12-1222-1-1-222-1-1-1-1-1-1211-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-2-20022-1-122-2-2111100-1-1-1-1111122-1-1-20001100000-200011-1-10000000
χ22222222-1222-1-12-1222-1-1-222-1-1-1-1-1-1211-2-2111122-2-21111-1-1-1-1-211-2-21111-220022-1-1-2-22211-1-1001111-1-1-1-1-2-2-1-1-200011000002000-1-1110000000
χ23222222-1222-1-12-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-222-1-1-1-1-1-1-1-1-211-2-211112-200-2-21122-2-2-1-11100-1-1-1-11111-2-2112000-1-1000002000-1-1110000000
χ24222222-1222-1-12-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-2-2-21111-1-1-1-1-211-2-211112200-2-211-2-222-1-1-1-1001111-1-1-1-122112000-1-100000-200011-1-10000000
χ2522222-12-12222-12-12-12-12-1-1-12-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-12022-1-12200002200-1-10000000000-1-1-1-122-1-1-1-1-1-1202000000-1-1-10000
χ2622222-12-12222-12-12-12-12-1-1-12-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-120-2-2-1-12200002200110000000000-1-1-11-2-2-1-11111-20-20000001110000
χ2722222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-202211-2-20000-2-200-1-10000000000111-12211-1-1-1-1-20-20000001110000
χ2822222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-211-2-20000-2-2001100000000001111-2-2111111202000000-1-1-10000
χ2922222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-202-2-1-1220000-2-200-1-10000000000-1-1112-211-1-111-202000000-1-110000
χ3022222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-20-22-1-1220000-2-200110000000000-1-11-1-221111-1-120-200000011-10000
χ3122222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111202-211-2-200002200-1-1000000000011-112-2-1-1-1-11120-200000011-10000
χ3222222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111120-2211-2-20000220011000000000011-1-1-22-1-111-1-1-202000000-1-110000
χ332222-1222-1-122222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-102220000-1-1-1-1002222-1-1-1-1-1-1-1-1000002-1-100-1-1-1-1000220000000-1-100
χ342222-1222-1-122222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-102-2-20000-1-1-1-10022-2-2-1-1-1-1-1-1-1-100000-211001111000-2-200000001100
χ352222-1222-1-122222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2220000111100-2-22211111111000002-1-100-1-1-1-1000-2-200000001100
χ362222-1222-1-122222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2-20000111100-2-2-2-21111111100000-211001111000220000000-1-100
χ372222-1222-1-122222-1-1-12-2-1-12-12-1-12-1-2-211111100222222-1-1-1-1-2-2-21111110-22-20000-1-11100-2-222-1-1-1-1111100000-2-1100-1-1110002-20000000-1100
χ382222-1222-1-122222-1-1-12-2-1-12-12-1-12-1-2-211111100222222-1-1-1-1-2-2-21111110-2-220000-1-11100-2-2-2-2-1-1-1-111110000021-10011-1-1000-2200000001-100
χ392222-1222-1-122222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111022-2000011-1-10022221111-1-1-1-100000-2-1100-1-111000-2200000001-100
χ402222-1222-1-122222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-211111102-22000011-1-10022-2-21111-1-1-1-10000021-10011-1-10002-20000000-1100
χ4122-2-222222-2-2-2-22-2-222202-22-2-22-2-2-2000000002-22-222-2-222-2-200000000000002-22-22-20000000022-2-200002-22-2000000000000000002-20000000
χ4222-2-222222-2-2-2-22-2-222202-22-2-22-2-2-2000000002-2-22-2-22222-2-200000000000002-22-2-2200000000-2-2220000-222-200000000000000000-220000000
χ4322-2-222222-2-2-2-22-2-222202-22-2-22-2-2-200000000-222-222-2-222-2-20000000000000-22-222-20000000022-2-20000-22-2200000000000000000-220000000
χ4422-2-222222-2-2-2-22-2-222202-22-2-22-2-2-200000000-22-22-2-22222-2-20000000000000-22-22-2200000000-2-22200002-2-22000000000000000002-20000000
χ4522-2-222-122-211-2-1-2-22-1-102-2-111-111-23−30033−3−32-22-2-1-111-1-11103−30033−3−300002-2-112-2003−33−300-1-11133−3−32-2-1100003−30000000003−3-110000000
χ4622-2-222-122-211-2-1-2-22-1-102-2-111-111-23−30033−3−32-2-2211-1-1-1-11103−30033−3−300002-2-11-22003−3−330011-1-1−3−333-22-1100003−3000000000−331-10000000
χ4722-2-222-122-211-2-1-2-22-1-102-2-111-111-23−30033−3−3-222-2-1-111-1-11103−30033−3−30000-221-12-200−333−300-1-11133−3−3-221-10000−33000000000−331-10000000
χ4822-2-222-122-211-2-1-2-22-1-102-2-111-111-23−30033−3−3-22-2211-1-1-1-11103−30033−3−30000-221-1-2200−33−330011-1-1−3−3332-21-10000−330000000003−3-110000000
χ4922-2-222-122-211-2-1-2-22-1-102-2-111-111-2−3300−3−3332-22-2-1-111-1-1110−3300−3−33300002-2-112-200−33−3300-1-111−3−3332-2-110000−33000000000−33-110000000
χ5022-2-222-122-211-2-1-2-22-1-102-2-111-111-2−3300−3−3332-2-2211-1-1-1-1110−3300−3−33300002-2-11-2200−333−30011-1-133−3−3-22-110000−330000000003−31-10000000
χ5122-2-222-122-211-2-1-2-22-1-102-2-111-111-2−3300−3−333-222-2-1-111-1-1110−3300−3−3330000-221-12-2003−3−3300-1-111−3−333-221-100003−30000000003−31-10000000
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χ884-4-44444-4-4-4-44-4-4444440-4-4-444-4-4-4400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-4-4-42-2-42444-2-20-4-42-2-2222400000000000023−23−2323-222-200000000000000000000000000023−23−23230000000000000000000000000000000000
χ904-4-4444-2-4-4-42-2-42444-2-20-4-42-2-22224000000000000−232323−23-222-2000000000000000000000000000−232323−230000000000000000000000000000000000
χ914-4-444-242-4-4-442-4-24-24-202224-2-4-42-20000000000000000-222-20000000000000000000000000−2i32i3000000000000000000−2i32i3000000000000000000
χ924-4-444-242-4-4-442-4-24-24-202224-2-4-42-20000000000000000-222-200000000000000000000000002i3−2i30000000000000000002i3−2i3000000000000000000
χ934-4-44-244-422-44-4-44-2-2-24022-4-2422-4-200−2i32i3−2i32i32i3−2i300000000-222-2000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ944-4-44-244-422-44-4-44-2-2-24022-4-2422-4-2002i3−2i32i3−2i3−2i32i300000000-222-20002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ954-4-44-24-2-4222-2-424-2-21-202221-2-1-12-200−2i32i3i3−i3−i3i3000023−23−23231-1-11000−2i32i3i3−i3−i3i3000000000000000000−333−3−3i3i3i−3i000000000000000000000000000000
χ964-4-44-24-2-4222-2-424-2-21-202221-2-1-12-200−2i32i3i3−i3−i3i30000−232323−231-1-11000−2i32i3i3−i3−i3i30000000000000000003−3−333i−3i−3i3i000000000000000000000000000000
χ974-4-44-24-2-4222-2-424-2-21-202221-2-1-12-2002i3−2i3−i3i3i3−i3000023−23−23231-1-110002i3−2i3−i3i3i3−i3000000000000000000−333−33i−3i−3i3i000000000000000000000000000000
χ984-4-44-24-2-4222-2-424-2-21-202221-2-1-12-2002i3−2i3−i3i3i3−i30000−232323−231-1-110002i3−2i3−i3i3i3−i30000000000000000003−3−33−3i3i3i−3i000000000000000000000000000000
χ994-4-44-2-24222-442-4-2-21-2-20-1-12-2-2222100−2i32i3−2i32i32i3−2i3000000001-1-11000i3−i3i3−i3−i3i30000000000000000−2i32i3000000000000000000i3−i33-30000000000000000
χ1004-4-44-2-24222-442-4-2-21-2-20-1-12-2-2222100−2i32i3−2i32i32i3−2i3000000001-1-11000i3−i3i3−i3−i3i300000000000000002i3−2i3000000000000000000−i3i3-330000000000000000
χ1014-4-44-2-24222-442-4-2-21-2-20-1-12-2-22221002i3−2i32i3−2i3−2i32i3000000001-1-11000−i3i3−i3i3i3−i30000000000000000−2i32i3000000000000000000i3−i3-330000000000000000
χ1024-4-44-2-24222-442-4-2-21-2-20-1-12-2-22221002i3−2i32i3−2i3−2i32i3000000001-1-11000−i3i3−i3i3i3−i300000000000000002i3−2i3000000000000000000−i3i33-30000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-4-44-8-848442-4-402-2-444-444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-44444-44422202-22-2-22-2-2-243−4300−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-4-44444-44422202-22-2-22-2-2-2−4343002323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-44-88-44-444-8-4-4204-4-24-24-42400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4844-48-8-4-8442-4-40-224444-4-4-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-4-44-44442220-22-2-2-2-222-200006i−6i6i−6i00000000-11-1100000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-444-4-44-44442220-22-2-2-2-222-20000−6i6i−6i6i00000000-11-11000003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-44-8-84-444-48-4-42044-2-4244-2-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44444-444-4-42220-2-2-222-2-2-2200−4i34i32i3−2i3−2i32i300000000-111-10002i3−2i3−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44444-444-4-42220-2-2-222-2-2-22004i3−4i3−2i32i32i3−2i300000000-111-1000−2i32i3i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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