Finite Group Databasebeta

← Group #10591397

Character table — Group #10591397

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order12222222336666666666666634466666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ10222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ11222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000-1-1-1-111110000
χ12222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000001111-1-1-1-10000
χ1322222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ1422222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ1522222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-11111000000000000
χ1622222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022001111-1-1-1-1000000000000
χ17222-22-2-2-22222-2-222-2-222-2-2-2-222-222-2-2-2-2222-2-222-2-22222-2-2-2-20000000000000000000000000000
χ18222-22-2-2-22222-2-222-2-222-2-2-2-22-2222-2-2-2-22-2-222-2-222-2-2-2-222220000000000000000000000000000
χ19222-22-2-2-22-122-2-2-1-1112-1-2-211-12-2-1-11111-122-2-2-1-111-1-1-1-11111000000000000000033−3−333−3−30000
χ20222-22-2-2-22-122-2-2-1-1112-1-2-211-12-2-1-11111-122-2-2-1-111-1-1-1-111110000000000000000−3−333−3−3330000
χ21222-22-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-1000000000000000033−3−3−3−3330000
χ22222-22-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−3−33333−3−30000
χ23222-22-2-2-2-12-1-11122-2-2-1211-2-2-12-2-1-11111-1-1-11122-2-2-1-1-1-111110000000033−3−333−3−3000000000000
χ24222-22-2-2-2-12-1-11122-2-2-1211-2-2-12-2-1-11111-1-1-11122-2-2-1-1-1-1111100000000−3−333−3−333000000000000
χ25222-22-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-10000000033−3−3−3−333000000000000
χ26222-22-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-100000000−3−33333−3−3000000000000
χ2722-22-22-2-2222-2222-22-2-2-2-2-22-22002-222-2-2-20000000000000000002-20000000000002-22-200000000
χ2822-22-22-2-2222-2222-22-2-2-2-2-22-22002-222-2-2-2000000000000000000-22000000000000-22-2200000000
χ2922-22-22-2-22-12-222-11-11-21-2-2-11-100-11-1-111100003−33−333−3−333−3−3002-2000000000000-11-113−33−30000
χ3022-22-22-2-22-12-222-11-11-21-2-2-11-100-11-1-111100003−33−333−3−333−3−300-220000000000001-11-1−33−330000
χ3122-22-22-2-22-12-222-11-11-21-2-2-11-100-11-1-11110000−33−33−3−333−3−333002-2000000000000-11-11−33−330000
χ3222-22-22-2-22-12-222-11-11-21-2-2-11-100-11-1-11110000−33−33−3−333−3−33300-220000000000001-11-13−33−30000
χ3322-2-2-2-222222-2-2-22-2-22-2-222-222002-2-2-222-200000000000000000000002-20000000000002-2-220000
χ3422-2-2-2-222222-2-2-22-2-22-2-222-222002-2-2-222-20000000000000000000000-22000000000000-222-20000
χ3522-2-2-2-2222-12-2-2-2-111-1-21221-1-100-1111-1-1100003−3−3333−3−3−3−3330000002-200000000−333−3-111-10000
χ3622-2-2-2-2222-12-2-2-2-111-1-21221-1-100-1111-1-1100003−3−3333−3−3−3−333000000-22000000003−3−331-1-110000
χ3722-2-2-2-2222-12-2-2-2-111-1-21221-1-100-1111-1-110000−333−3−3−33333−3−30000002-2000000003−3−33-111-10000
χ3822-2-2-2-2222-12-2-2-2-111-1-21221-1-100-1111-1-110000−333−3−3−33333−3−3000000-2200000000−333−31-1-110000
χ392-222-2-22-222-222-2-2222-2-22-2-2-2200-222-22-2-200000000000000002-20000002-22-20000000000000000
χ402-222-2-22-222-222-2-2222-2-22-2-2-2200-222-22-2-20000000000000000-22000000-22-220000000000000000
χ412-222-2-22-2-121-1-11-22221-2-11-2-2-1001-1-11-1113−33−300003−33−33−33−32-2000000-11-113−33−3000000000000
χ422-222-2-22-2-121-1-11-22221-2-11-2-2-1001-1-11-1113−33−300003−33−33−33−3-220000001-11-1−33−33000000000000
χ432-222-2-22-2-121-1-11-22221-2-11-2-2-1001-1-11-111−33−330000−33−33−33−332-2000000-11-11−33−33000000000000
χ442-222-2-22-2-121-1-11-22221-2-11-2-2-1001-1-11-111−33−330000−33−33−33−33-220000001-11-13−33−3000000000000
χ452-22-2-22-2222-22-22-22-2-2-2-2-2222200-22-22-22-2000000000000000000002-20000002-2-22000000000000
χ462-22-2-22-2222-22-22-22-2-2-2-2-2222200-22-22-22-200000000000000000000-22000000-222-2000000000000
χ472-22-2-22-22-121-11-1-22-2-21-21-122-1001-11-11-113−3−3300003−33−3−33−3300002-200−333−3-111-1000000000000
χ482-22-2-22-22-121-11-1-22-2-21-21-122-1001-11-11-113−3−3300003−33−3−33−330000-22003−3−331-1-11000000000000
χ492-22-2-22-22-121-11-1-22-2-21-21-122-1001-11-11-11−333−30000−33−333−33−300002-2003−3−33-111-1000000000000
χ502-22-2-22-22-121-11-1-22-2-21-21-122-1001-11-11-11−333−30000−33−333−33−30000-2200−333−31-1-11000000000000
χ512-2-222-2-2222-2-22-2-2-22-222-22-22200-2-22-2-22200000000000000000000000000000000000000002-200
χ522-2-222-2-2222-2-22-2-2-22-222-22-22200-2-22-2-2220000000000000000000000000000000000000000-2200
χ532-2-2-2222-222-2-2-22-2-2-22222-22-2200-2-2-222-220000000000000000000000000000000000000000002i−2i
χ542-2-2-2222-222-2-2-22-2-2-22222-22-2200-2-2-222-22000000000000000000000000000000000000000000−2i2i
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ57444-44-4-4-4-2-2-2-222-2-222-2-2222214-411-1-1-1-11-2-222-2-2221111-1-1-1-10000000000000000000000000000
χ58444-44-4-4-4-2-2-2-222-2-222-2-222221-4411-1-1-1-1122-2-222-2-2-1-1-1-111110000000000000000000000000000
χ5944-44-44-4-4-24-22-2-24-44-42-4224-4-200-22-2-222200000000000000000000000000000000000000000000
χ6044-44-44-4-4-2-2-22-2-2-22-222222-221001-111-1-1-1000023−2323−23−3−333−3−3330000000000000000000000000000
χ6144-44-44-4-4-2-2-22-2-2-22-222222-221001-111-1-1-10000−2323−232333−3−333−3−30000000000000000000000000000
χ6244-4-4-4-444-24-22224-4-442-4-2-2-44-200-2222-2-2200000000000000000000000000000000000000000000
χ6344-4-4-4-444-2-2-2222-222-222-2-22-21001-1-1-111-1000023−23−2323−3−33333−3−30000000000000000000000000000
χ6444-4-4-4-444-2-2-2222-222-222-2-22-21001-1-1-111-10000−232323−2333−3−3−3−3330000000000000000000000000000
χ654-444-4-44-44-2-444-42-2-2-2-424-422-2002-2-22-22200000000000000000000000000000000000000000000
χ664-444-4-44-4-2-22-2-222-2-2-222-2222100-111-11-1-123−2323−230000−33−33−33−330000000000000000000000000000
χ674-444-4-44-4-2-22-2-222-2-2-222-2222100-111-11-1-1−2323−232300003−33−33−33−30000000000000000000000000000
χ684-44-4-44-444-2-44-442-222-42-44-2-2-2002-22-22-2200000000000000000000000000000000000000000000
χ694-44-4-44-44-2-22-22-22-222222-2-2-2100-11-11-11-123−23−23230000−33−333−33−30000000000000000000000000000
χ704-44-4-44-44-2-22-22-22-222222-2-2-2100-11-11-11-1−232323−2300003−33−3−33−330000000000000000000000000000
χ714-4-444-4-444-2-4-44-422-224-2-442-2-20022-222-2-200000000000000000000000000000000000000000000
χ724-4-444-4-44-2422-22-4-44-4-242-2-44-20022-222-2-200000000000000000000000000000000000000000000
χ734-4-444-4-44-2-222-2222-22-2-22-22-2100-1-11-1-111000000003-3-333-3-330000000000000000000000000000
χ744-4-444-4-44-2-222-2222-22-2-22-22-2100-1-11-1-11100000000-333-3-333-30000000000000000000000000000
χ754-4-4-4444-44-2-4-4-44222-24-24-4-22-200222-2-22-200000000000000000000000000000000000000000000
χ764-4-4-4444-4-24222-2-4-4-44-24-224-4-200222-2-22-200000000000000000000000000000000000000000000
χ774-4-4-4444-4-2-2222-2222-2-2-2-22-22100-1-1-111-11000000003-3-33-333-30000000000000000000000000000
χ784-4-4-4444-4-2-2222-2222-2-2-2-22-22100-1-1-111-1100000000-333-33-3-330000000000000000000000000000

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