Finite Group Databasebeta

← Group #13172328

Character table — Group #13172328

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636363672727272108108
order122222333666666666666633366666666666666666666636666666662224446666666666666666121212121212121212121212121212124444666612121212244412121212612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-111-1-1-111-11-111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1111-1-1-1-1111-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-1-11-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-1-11-1-1111-11-1-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-111-11-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1111-11-11-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-111-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1111-1-1-1-111-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-11-111-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-11-11-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-111-1-11-1
χ1722222222-122222-122-122-12-1-1222-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1002222000000000000000022-1-122-1-1-1-1-1-1-1-1-1-100002-1-1-12-1-1-122000000-100-100
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χ212222222-12222222-122-1-1222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-12-1-1-12-1-1002200000-1-1000
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χ362222-2-22-122-2-2-2-22-122-1-1222-1-111-2-222-2-2-2-2-1-1-1-1-11111-12-111-1-1-11111-22-2200-2-22211-1-11111-1-1-1-1000000000000000000001-211-12-1-1002-200000-11000
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χ7944-4-4-44-2-24-222-2-2-4-22-42242-2-212-2-44-2222-2-2221-1-1-1-111-2212-21-1-1-1-111000000−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ8044-4-4-44-2-24-222-2-2-4-22-42242-2-212-2-44-2222-2-2221-1-1-1-111-2212-21-1-1-1-1110000002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ814-44-400444-40000-4-4444-4-4-44440000-4-400004-4-44-40000-44400-44-400000000000000000000000000000000000000000000000000000000000000000000
χ824-44-40044-2-400002-44-24-42-4-2-240000220000-22-44-400002-2-2002-220000000000000000000000000000−2i32i30000−2i32i3−2i32i3000000000000000000000000000000
χ834-44-40044-2-400002-44-24-42-4-2-240000220000-22-44-400002-2-2002-2200000000000000000000000000002i3−2i300002i3−2i32i3−2i3000000000000000000000000000000
χ844-44-4004-24-40000-4244-22-4-44-2-20000-4-40000-222-22000024-2002-2200000000000000−2i32i300−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ854-44-4004-24-40000-4244-22-4-44-2-20000-4-40000-222-22000024-2002-22000000000000002i3−2i3002i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ864-44-400-2442−2i32i3−2i32i3-4-4-244-4-42-24-2000022−2i32i3−2i32i34-42-22−2i32i3−2i32i3-4-2-2002-22−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ874-44-400-24422i3−2i32i3−2i3-4-4-244-4-42-24-20000222i3−2i32i3−2i34-42-222i3−2i32i3−2i3-4-2-2002-222i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ884-44-400-24-22−2i32i3−2i32i32-4-2-24-4221-2-20000-1-1i3−i3i3−i3-222-22−2i32i3−2i32i321100-11-1i3−i3i3−i3000000000000000000000000−2i32i30000i3−i3i3−i33-33-300000000000000000000000000
χ894-44-400-24-22−2i32i3−2i32i32-4-2-24-4221-2-20000-1-1i3−i3i3−i3-222-22−2i32i3−2i32i321100-11-1i3−i3i3−i30000000000000000000000002i3−2i30000−i3i3−i3i3-33-3300000000000000000000000000
χ904-44-400-24-222i3−2i32i3−2i32-4-2-24-4221-2-20000-1-1−i3i3−i3i3-222-222i3−2i32i3−2i321100-11-1−i3i3−i3i3000000000000000000000000−2i32i30000i3−i3i3−i3-33-3300000000000000000000000000
χ914-44-400-24-222i3−2i32i3−2i32-4-2-24-4221-2-20000-1-1−i3i3−i3i3-222-222i3−2i32i3−2i321100-11-1−i3i3−i3i30000000000000000000000002i3−2i30000−i3i3−i3i33-33-300000000000000000000000000
χ924-44-400-2-242−2i32i3−2i32i3-42-24-22-42-2-21000022−2i32i3−2i32i3-22-11-1i3−i3i3−i32-2100-11-1i3−i3i3−i30000000000−2i32i300i3−i3i3−i33-33-3000000000000000000000000000000000000000000
χ934-44-400-2-242−2i32i3−2i32i3-42-24-22-42-2-21000022−2i32i3−2i32i3-22-11-1i3−i3i3−i32-2100-11-1i3−i3i3−i300000000002i3−2i300−i3i3−i3i3-33-33000000000000000000000000000000000000000000
χ944-44-400-2-2422i3−2i32i3−2i3-42-24-22-42-2-210000222i3−2i32i3−2i3-22-11-1−i3i3−i3i32-2100-11-1−i3i3−i3i30000000000−2i32i300i3−i3i3−i3-33-33000000000000000000000000000000000000000000
χ954-44-400-2-2422i3−2i32i3−2i3-42-24-22-42-2-210000222i3−2i32i3−2i3-22-11-1−i3i3−i3i32-2100-11-1−i3i3−i3i300000000002i3−2i300−i3i3−i3i33-33-3000000000000000000000000000000000000000000
χ964-4-4400444-400004-4-4-4-44-444440000-440000-44-4-440000-4-4400-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ974-4-440044-2-40000-2-4-42-4424-2-2400002-200002-2-4-44000022-20022-20000000000000000000000000000000023−23000023−23−232300000000000000000000000000
χ984-4-440044-2-40000-2-4-42-4424-2-2400002-200002-2-4-44000022-20022-200000000000000000000000000000000−23230000−232323−2300000000000000000000000000
χ994-4-44004-24-4000042-4-42-2-444-2-20000-4400002-222-200002-4-20022-20000000000000000−2i32i30000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ1004-4-44004-24-4000042-4-42-2-444-2-20000-4400002-222-200002-4-20022-200000000000000002i3−2i300002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ1014-4-4400-2442−2i32i32i3−2i34-42-4-44-4-2-24-200002-2−2i32i32i3−2i3-4422-2−2i32i32i3−2i3-42-20022-2−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4400-24422i3−2i3−2i32i34-42-4-44-4-2-24-200002-22i3−2i3−2i32i3-4422-22i3−2i3−2i32i3-42-20022-22i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4400-24-22−2i32i32i3−2i3-2-422-442-21-2-20000-11i3−i3−i3i32-222-2−2i32i32i3−2i32-1100-1-11i3−i3−i3i3000000000000000000000000000023−233i−3i−3i3i−333−300000000000000000000000000
χ1044-4-4400-24-22−2i32i32i3−2i3-2-422-442-21-2-20000-11i3−i3−i3i32-222-2−2i32i32i3−2i32-1100-1-11i3−i3−i3i30000000000000000000000000000−2323−3i3i3i−3i3−3−3300000000000000000000000000
χ1054-4-4400-24-222i3−2i3−2i32i3-2-422-442-21-2-20000-11−i3i3i3−i32-222-22i3−2i3−2i32i32-1100-1-11−i3i3i3−i3000000000000000000000000000023−23−3i3i3i−3i−333−300000000000000000000000000
χ1064-4-4400-24-222i3−2i3−2i32i3-2-422-442-21-2-20000-11−i3i3i3−i32-222-22i3−2i3−2i32i32-1100-1-11−i3i3i3−i30000000000000000000000000000−23233i−3i−3i3i3−3−3300000000000000000000000000
χ1074-4-4400-2-242−2i32i32i3−2i3422-42-2-4-2-2-2100002-2−2i32i32i3−2i32-2-1-11i3−i3−i3i322100-1-11i3−i3−i3i3000000000000−2i32i33-3-33i3−i3−i3i3000000000000000000000000000000000000000000
χ1084-4-4400-2-242−2i32i32i3−2i3422-42-2-4-2-2-2100002-2−2i32i32i3−2i32-2-1-11i3−i3−i3i322100-1-11i3−i3−i3i30000000000002i3−2i3-333-3−i3i3i3−i3000000000000000000000000000000000000000000
χ1094-4-4400-2-2422i3−2i3−2i32i3422-42-2-4-2-2-2100002-22i3−2i3−2i32i32-2-1-11−i3i3i3−i322100-1-11−i3i3i3−i3000000000000−2i32i3-333-3i3−i3−i3i3000000000000000000000000000000000000000000
χ1104-4-4400-2-2422i3−2i3−2i32i3422-42-2-4-2-2-2100002-22i3−2i3−2i32i32-2-1-11−i3i3i3−i322100-1-11−i3i3i3−i30000000000002i3−2i33-3-33−i3i3i3−i3000000000000000000000000000000000000000000
χ111888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-422222222222222222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1128888-8-8-4-4-4-44444-4-4-4-4-4-4-4-4222444422-2-2-2-222222-2-2-2-222-1-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ11388-8-88-8-4-4-4-4-4-4444-44444-44222-44-442-222-2-2-2-22-2-222-2-22-2-12-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-88-4-4-4-444-4-44-44444-442224-44-42-2-2-222-2-22-2-2-2-2222-2-1-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8008-4-4-80000448-4-444-8-42-400004400002-24-440000-2-4200-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800-4-4-44−4i34i3−4i34i344-4-4-44442220000-2-22i3−2i32i3−2i32-2-22-22i3−2i32i3−2i3-22-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-4-4-444i3−4i34i3−4i344-4-4-44442220000-2-2−2i32i3−2i32i32-2-22-2−2i32i3−2i32i3-22-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88008-4-4-80000-44-844-448-42-400004-40000-2244-40000-24200-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800-4-4-44−4i34i34i3−4i3-44444-44-42220000-222i3−2i3−2i32i3-22-2-222i3−2i3−2i32i3-2-2-10011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-4-4-444i3−4i3−4i34i3-44444-44-42220000-22−2i32i32i3−2i3-22-2-22−2i32i32i3−2i3-2-2-10011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000000000000

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