Finite Group Databasebeta

← Group #13170475

Character table — Group #13170475

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order122233344666666666333666666666121212121212121212123666121212121212121224444466666666121212121212121212121212121212121212121212121212244444661212224412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-111-11-1-111-1-1-1-1111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-111-11-1-11111-1-1-111-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-11-1-111-1-11111-1-11-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1111-11-11-111-1-1-1-111-11-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11111111111-1-11-11-111-1-111-1-11-11-11-111-1-111-1-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-111-11-1-111-1-111-1-1111-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-11111-1-1-1-111-11-1-111-1-111-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111111111-1-111-11-11-1-111-1-11111-11-1-111-1-111-1-11-11-1
χ17222222-12222-12-12-122-1-12-1-1-122-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-102202200000000000000002-12-122-1-1-1-1-1-1-1-1-1-1200002-1-1-1-100000000
χ18222222-12222-12-12-122-1-12-1-1-122-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10220-2-200000000000000002-12-1-2-211-1-1-1-11111-20000-2111100000000
χ19222222-12222-12-12-122-1-12-1-1-122-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10-2-20220000000000000000-21-2122-1-11111-1-1-1-1-20000-2111100000000
χ20222222-12222-12-12-122-1-12-1-1-122-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000000000-21-21-2-21111111111200002-1-1-1-100000000
χ21222222-1-2-222-12-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-1-1-1-11111111102-202-200000000000000002-1-212-2-11-1-111-1-11120000-2-1-11100000000
χ22222222-1-2-222-12-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-1-1-1-11111111102-20-2200000000000000002-1-21-221-1-1-11111-1-1-20000211-1-100000000
χ23222222-1-2-222-12-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-1-1-1-1111111110-2202-20000000000000000-212-12-2-1111-1-1-1-111-20000211-1-100000000
χ24222222-1-2-222-12-12-122-1-12-1-1-122-12-1-1-2-211-2-2-2-2-2-2-1-1-1-1111111110-220-220000000000000000-212-1-221-111-1-111-1-120000-2-1-11100000000
χ2522222-12222-1222-12-122-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-120022222-1-1-1-1-1-1-1-122-1-1-1-10000-1-1220000-1-1-1-102200000000000-1-100
χ2622222-12222-1222-12-122-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12002-2-222-1-1-1-1-1-1-1-122-1-1-1-1000011-2-2000011110-2-2000000000001100
χ2722222-12222-1222-12-122-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-200-222-2-211111111-2-211110000-1-1220000-1-1-1-10-2-2000000000001100
χ2822222-12222-1222-12-122-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-200-2-2-2-2-211111111-2-21111000011-2-20000111102200000000000-1-100
χ2922222-12-2-22-1222-12-122-1-12-1-1-1-12-12-111-2-2-2-21111-1-1-1-1-2-2111111200-22-222-1-1-1-1-1-111-2-211110000-112-20000-1-11102-200000000000-1100
χ3022222-12-2-22-1222-12-122-1-12-1-1-1-12-12-111-2-2-2-21111-1-1-1-1-2-2111111200-2-2222-1-1-1-1-1-111-2-2111100001-1-22000011-1-10-22000000000001-100
χ3122222-12-2-22-1222-12-122-1-12-1-1-1-12-12-111-2-2-2-21111-1-1-1-1-2-2111111-20022-2-2-2111111-1-122-1-1-1-10000-112-20000-1-1110-22000000000001-100
χ3222222-12-2-22-1222-12-122-1-12-1-1-1-12-12-111-2-2-2-21111-1-1-1-1-2-2111111-2002-22-2-2111111-1-122-1-1-1-100001-1-22000011-1-102-200000000000-1100
χ332222-12222-122-12222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222200-1-122-1-1-1-122-1-1-1-1-1-1-12-120000-1-1-1-100000002200000000000-1-1
χ342222-12222-122-12222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-2-2200-1-122-1-1-1-122-1-1-1-1-1-11-21-2000011110000000-2-20000000000011
χ352222-12222-122-12222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-222-20011-2-21111-2-2111111-12-120000-1-1-1-10000000-2-20000000000011
χ362222-12222-122-12222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20011-2-21111-2-21111111-21-20000111100000002200000000000-1-1
χ372222-122-2-2-122-12222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-1-1-1-111-2-2111122-2-200-1-122-1-1-1-1-2-2111111-121-20000-1-11100000002-200000000000-11
χ382222-122-2-2-122-12222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-1-1-1-111-2-211112-22-200-1-122-1-1-1-1-2-21111111-2-12000011-1-10000000-22000000000001-1
χ392222-122-2-2-122-12222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-1-1-1-111-2-21111-22-220011-2-2111122-1-1-1-1-1-1-121-20000-1-1110000000-22000000000001-1
χ402222-122-2-2-122-12222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-1-1-1-111-2-21111-2-2220011-2-2111122-1-1-1-1-1-11-2-12000011-1-100000002-200000000000-11
χ412-2-222222-2-2-2-2-2-222-22222-2-2-2-2-222-222-22-22-222-2-22-2-222-22-222-2-20000000000000000000000000000000000000000000000002-22-20000
χ422-2-222222-2-2-2-2-2-222-22222-2-2-2-2-222-222-22-22-222-2-22-2-222-22-222-2-2000000000000000000000000000000000000000000000000-22-220000
χ432-2-22222-22-2-2-2-2-222-22222-2-2-2-2-222-22-22-22-22-2-2222-2-22-22-22-2-2220000000000000000000000000000000000000000000000002-2-220000
χ442-2-22222-22-2-2-2-2-222-22222-2-2-2-2-222-22-22-22-22-2-2222-2-22-22-22-2-222000000000000000000000000000000000000000000000000-222-20000
χ4544444-2-2444-2-24-2-2-2-24-21-2-211-2-2-2-2-21-2-2-2-244-2-2-2-21111-2-211111100004400000000000000000000-2-2-2-200001111000000000000000000
χ4644444-2-2444-2-24-2-2-2-24-21-2-211-2-2-2-2-21-2-2-2-244-2-2-2-21111-2-21111110000-4-40000000000000000000022220000-1-1-1-1000000000000000000
χ4744444-2-2-4-44-2-24-2-2-2-24-21-2-211-2-2-2-2-212222-4-42222111122-1-1-1-1-1-100004-400000000000000000000-22-22000011-1-1000000000000000000
χ4844444-2-2-4-44-2-24-2-2-2-24-21-2-211-2-2-2-2-212222-4-42222111122-1-1-1-1-1-10000-44000000000000000000002-22-20000-1-111000000000000000000
χ494444-24-244-24-2-2-24-24-21-2-21-2-2-2-21-21-244-2-2-2-2-2-2-2-2111111-2-211110440000000000000000000-2-2-2-2000011110000000000000000000000
χ504444-24-244-24-2-2-24-24-21-2-21-2-2-2-21-21-244-2-2-2-2-2-2-2-2111111-2-211110-4-4000000000000000000022220000-1-1-1-10000000000000000000000
χ514444-24-2-4-4-24-2-2-24-24-21-2-21-2-2-2-21-21-2-4-4222222221111-1-122-1-1-1-104-40000000000000000000-2-222000011-1-10000000000000000000000
χ524444-24-2-4-4-24-2-2-24-24-21-2-21-2-2-2-21-21-2-4-4222222221111-1-122-1-1-1-10-44000000000000000000022-2-20000-1-1110000000000000000000000
χ534444-2-2444-2-24-24-24-2-2-2-21-2-2-211-21-2-2-2-244-2-211111111-2-2-2-21111400400-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ544444-2-2444-2-24-24-24-2-2-2-21-2-2-211-21-2-2-2-244-2-211111111-2-2-2-21111-400-4002222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ554444-2-24-4-4-2-24-24-24-2-2-2-21-2-2-211-21-2-222-4-422-1-1-1-111112222-1-1-1-1400-400-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ564444-2-24-4-4-2-24-24-24-2-2-2-21-2-2-211-21-2-222-4-422-1-1-1-111112222-1-1-1-1-4004002222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ5744-4-444400-44-444-4-4-4-4444-44-44-4-4-44-4000000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-200-4424-2-42-4-4-2-242-224-42-4-220000000000-2-22200000000000000000000000000000000000000000000000000000023−2300000000
χ5944-4-444-200-4424-2-42-4-4-2-242-224-42-4-220000000000-2-222000000000000000000000000000000000000000000000000000000−232300000000
χ6044-4-44-2400-4-2-4442-42-44-2-2-4-22-22-42420000000000-2-2220000000000000000−2i32i3−2i3−2i32i32i3000000000000000000000000000000000000000000
χ6144-4-44-2400-4-2-4442-42-44-2-2-4-22-22-42420000000000-2-22200000000000000002i3−2i32i32i3−2i3−2i3000000000000000000000000000000000000000000
χ6244-4-4-2440024-4-24-4-4-42-24-224-4-2222-2-40000000000-2-22200000000000000000000000023−232323−23−230000000000000000000000000000000000
χ6344-4-4-2440024-4-24-4-4-42-24-224-4-2222-2-40000000000-2-222000000000000000000000000−2323−23−2323230000000000000000000000000000000000
χ6444-4-4-2-24002-2-4-242-422-2-212-221-12-1-220000003i−3i3i−3i11-1-100003i−3i3i−3i00000000−2i32i3i3i3−i3−i30023−23−3−3330000000000000000000000000000000000
χ6544-4-4-2-24002-2-4-242-422-2-212-221-12-1-220000003i−3i3i−3i11-1-100003i−3i3i−3i000000002i3−2i3−i3−i3i3i300−232333−3−30000000000000000000000000000000000
χ6644-4-4-2-24002-2-4-242-422-2-212-221-12-1-22000000−3i3i−3i3i11-1-10000−3i3i−3i3i00000000−2i32i3i3i3−i3−i300−232333−3−30000000000000000000000000000000000
χ6744-4-4-2-24002-2-4-242-422-2-212-221-12-1-22000000−3i3i−3i3i11-1-10000−3i3i−3i3i000000002i3−2i3−i3−i3i3i30023−23−3−3330000000000000000000000000000000000
χ684-44-4444004-44-4-4-4-44-44444-44-44-4-4-4-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ694-44-444-2004-4-2-42-424-4-2-24-22-2-442-4220000000000-22-220000000000000000000000000000000000000000000000000000−2i32i30000000000
χ704-44-444-2004-4-2-42-424-4-2-24-22-2-442-4220000000000-22-2200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ714-44-44-2400424-4-42-4-2-44-2-242-22-2-42-420000000000-22-22000000000000000000000023−230023−2323−230000000000000000000000000000000000
χ724-44-44-2400424-4-42-4-2-44-2-242-22-2-42-420000000000-22-220000000000000000000000−232300−2323−23230000000000000000000000000000000000
χ734-44-4-24400-2-442-4-4-442-24-2-2-442-2222-40000000000-22-2200000000000000−2i32i300−2i32i3−2i32i3000000000000000000000000000000000000000000
χ744-44-4-24400-2-442-4-4-442-24-2-2-442-2222-40000000000-22-22000000000000002i3−2i3002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ754-44-4-2-2400-2242-42-4-22-2-21-22-2-112-1220000003i−3i−3i3i1-11-100003i−3i−3i3i000000−2i32i300i3−i3i3−i323−2300−33−330000000000000000000000000000000000
χ764-44-4-2-2400-2242-42-4-22-2-21-22-2-112-1220000003i−3i−3i3i1-11-100003i−3i−3i3i0000002i3−2i300−i3i3−i3i3−2323003−33−30000000000000000000000000000000000
χ774-44-4-2-2400-2242-42-4-22-2-21-22-2-112-122000000−3i3i3i−3i1-11-10000−3i3i3i−3i000000−2i32i300i3−i3i3−i3−2323003−33−30000000000000000000000000000000000
χ784-44-4-2-2400-2242-42-4-22-2-21-22-2-112-122000000−3i3i3i−3i1-11-10000−3i3i3i−3i0000002i3−2i300−i3i3−i3i323−2300−33−330000000000000000000000000000000000
χ794-4-4444-24-4-4-42-424-2-44-2-24222-4-4-242-24-4-224-444-4-4-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000000
χ804-4-4444-2-44-4-42-424-2-44-2-24222-4-4-242-2-442-2-44-4-444-222-22-22-222-2-200000000000000000000000000000000000000000000000000000000
χ814-4-444-244-4-42-4-4-4-24244-2-2-422224-2-4-2-224-44-4-2-222-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ824-4-444-24-44-42-4-4-4-24244-2-2-422224-2-4-22-2-44-4422-2-2-222-2-442-222-2-200000000000000000000000000000000000000000000000000000000
χ834-4-444-2-24-4-422-42-2-224-21-22-1-122-2-221-22-224-4-2-2221-1-11-221-111-1-100000000000000000000000000000000003-33-3000000000000000000
χ844-4-444-2-24-4-422-42-2-224-21-22-1-122-2-221-22-224-4-2-2221-1-11-221-111-1-10000000000000000000000000000000000-33-33000000000000000000
χ854-4-444-2-2-44-422-42-2-224-21-22-1-122-2-2212-22-2-4422-2-21-1-112-2-11-1-11100000000000000000000000000000000003-3-33000000000000000000
χ864-4-444-2-2-44-422-42-2-224-21-22-1-122-2-2212-22-2-4422-2-21-1-112-2-11-1-1110000000000000000000000000000000000-333-3000000000000000000
χ874-4-44-2444-42-4-42-444-4-2-24-22-4-422-2-2244-44-4-22-2-222-222-2-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ884-4-44-244-442-4-42-444-4-2-24-22-4-422-2-224-44-442-222-2-2-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ894-4-44-24-24-42-42224-2-4-21-2-2-122221-2-1-24-4-22-22-2-2221-1-111-1-2211-1-10000000000000000000000000000003i−3i3i−3i0000000000000000000000
χ904-4-44-24-24-42-42224-2-4-21-2-2-122221-2-1-24-4-22-22-2-2221-1-111-1-2211-1-1000000000000000000000000000000−3i3i−3i3i0000000000000000000000
χ914-4-44-24-2-442-42224-2-4-21-2-2-122221-2-1-2-442-22-222-2-21-1-11-112-2-1-1110000000000000000000000000000003i−3i−3i3i0000000000000000000000
χ924-4-44-24-2-442-42224-2-4-21-2-2-122221-2-1-2-442-22-222-2-21-1-11-112-2-1-111000000000000000000000000000000−3i3i3i−3i0000000000000000000000
χ934-4-44-2-244-422-42-4-242-2-2-21222-1-1-212-2-224-4-2211-1-11-1-11-22-2211-1-100000000003-3-3300003-3-330000000000000000000000000000000000
χ944-4-44-2-244-422-42-4-242-2-2-21222-1-1-212-2-224-4-2211-1-11-1-11-22-2211-1-10000000000-333-30000-333-30000000000000000000000000000000000
χ954-4-44-2-24-4422-42-4-242-2-2-21222-1-1-212-22-2-442-2-1-1111-1-112-22-2-1-11100000000003-3-330000-333-30000000000000000000000000000000000
χ964-4-44-2-24-4422-42-4-242-2-2-21222-1-1-212-22-2-442-2-1-1111-1-112-22-2-1-1110000000000-333-300003-3-330000000000000000000000000000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-400-8-448-4444-8-42-442-2-4444-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-400484-4-4-84-842-4-4-2-44-44-2424000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4004-44-4-44444222-22-22-2-2-22-20000006i−6i6i−6i-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4004-44-4-44444222-22-22-2-2-22-2000000−6i6i−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-40084-4-8444-4-8-42-4-4-224-4444-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-400-4-8-444-84842-4-424-44-4-24-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-400-44-44444-442222-22-22-2-2-2-20000006i−6i−6i6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-400-44-44444-442222-22-22-2-2-2-2000000−6i6i6i−6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-48-844444-4-44-4222-2-2-2-2-222-22-44-44-4422-2-2-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-8844444-4-44-4222-2-2-2-2-222-224-44-44-4-2-222-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000

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