Finite Group Databasebeta

← Group #10877262

Character table — Group #10877262

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444666688888888888888888888888888888812121212121216161616242424242424242424242424
order122222223444444446666666441212121212121212222244444444888812121212121212121212242424242424242444444412121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1111111111-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-1111-1-1-1-11111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-1111111111-1-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1211111111111-1-1-1-1111111111-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ1311111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ1411111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-111-1-1
χ1511111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1
χ1611111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ17222222222-2-22222-2-22222222-2-2-2-2-22222-22222000000000000-2-20000000000000000-2-2-2-2220000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-2-22222-2-2-2-2-2000000000000-2-200000000000000002222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000000000220000000000000000-2-222-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000000022-2-2220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000001111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-222-2-222-2-2-2-2-1-11111111111111111000000-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-10000001111000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-100002222-2-2-2-222-2-211-1-1-1-11111-1-1-1-11111000000-1-111000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-1000022-2-2-2-222-2-22211-1-1-1-111111111-1-1-1-100000011-1-1000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-10000-2-22222-2-2-2-222111111-1-1-1-11111-1-1-1-1000000-1-111000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-10000-2-2-2-2222222-2-2111111-1-1-1-1-1-1-1-1111100000011-1-1000000000000
χ292222-2-2-2-22220000-2-222-2-22-2-20022-20000-222-2-22-200000000000022-2-20000000000002-2000000002-20000000000
χ302222-2-2-2-22220000-2-222-2-22-2-20022-20000-222-2-2-22000000000000-2-2220000000000002-200000000-220000000000
χ312222-2-2-2-22220000-2-222-2-22-2-20022-20000-2-2-2222-200000000000022-2-2000000000000-2200000000-220000000000
χ322222-2-2-2-22220000-2-222-2-22-2-20022-20000-2-2-222-22000000000000-2-222000000000000-22000000002-20000000000
χ332222-2-2-2-22-2-200002222-2-22-2-200-2-220000222-2-200002i−2i0000000000002i2i−2i−2i00000000-220000000000002i−2i000000
χ342222-2-2-2-22-2-200002222-2-22-2-200-2-220000222-2-20000−2i2i000000000000−2i−2i2i2i00000000-22000000000000−2i2i000000
χ352222-2-2-2-22-2-200002222-2-22-2-200-2-2200002-2-22200002i−2i0000000000002i2i−2i−2i000000002-2000000000000−2i2i000000
χ362222-2-2-2-22-2-200002222-2-22-2-200-2-2200002-2-2220000−2i2i000000000000−2i−2i2i2i000000002-20000000000002i−2i000000
χ372-22-222-2-22002i2i−2i−2i00-2-22-222-2000002i2i−2i−2i02-22-2000000002−2−i2i2000000000022−2−2−i2−i2i2i200002i−2i0000000000002−2−i2i2
χ382-22-222-2-22002i2i−2i−2i00-2-22-222-2000002i2i−2i−2i02-22-200000000−22i2−i20000000000−2−222i2i2−i2−i200002i−2i000000000000−22i2−i2
χ392-22-222-2-22002i2i−2i−2i00-2-22-222-2000002i2i−2i−2i0-22-22000000002−2−i2i2000000000022−2−2−i2−i2i2i20000−2i2i000000000000−22i2−i2
χ402-22-222-2-22002i2i−2i−2i00-2-22-222-2000002i2i−2i−2i0-22-2200000000−22i2−i20000000000−2−222i2i2−i2−i20000−2i2i0000000000002−2−i2i2
χ412-22-222-2-2200−2i−2i2i2i00-2-22-222-200000−2i−2i2i2i02-22-2000000002−2i2−i2000000000022−2−2i2i2−i2−i20000−2i2i0000000000002−2i2−i2
χ422-22-222-2-2200−2i−2i2i2i00-2-22-222-200000−2i−2i2i2i02-22-200000000−22−i2i20000000000−2−222−i2−i2i2i20000−2i2i000000000000−22−i2i2
χ432-22-222-2-2200−2i−2i2i2i00-2-22-222-200000−2i−2i2i2i0-22-22000000002−2i2−i2000000000022−2−2i2i2−i2−i200002i−2i000000000000−22−i2i2
χ442-22-222-2-2200−2i−2i2i2i00-2-22-222-200000−2i−2i2i2i0-22-2200000000−22−i2i20000000000−2−222−i2−i2i2i200002i−2i0000000000002−2i2−i2
χ452-2-222-22-222-22-22-22-2-2222-2-2-22-22-2-22-22-220000002i−2i002i−2i00002-200000000000000000000002i−2i2i−2i000000000000
χ462-2-222-22-222-22-22-22-2-2222-2-2-22-22-2-22-22-22000000−2i2i00−2i2i00002-20000000000000000000000−2i2i−2i2i000000000000
χ472-2-222-22-222-2-22-222-2-2222-2-2-2-222-2-2-22-2220000002i−2i00−2i2i0000-2200000000000000000000002i−2i−2i2i000000000000
χ482-2-222-22-222-2-22-222-2-2222-2-2-2-222-2-2-22-222000000−2i2i002i−2i0000-220000000000000000000000−2i2i2i−2i000000000000
χ492-2-222-22-22-222-22-2-22-2222-2-2-2-22-2222-22-2-20000000000000000-2200000000000000000000000000002i−2i002i−2i0000
χ502-2-222-22-22-222-22-2-22-2222-2-2-2-22-2222-22-2-20000000000000000-220000000000000000000000000000−2i2i00−2i2i0000
χ512-2-222-22-22-22-22-22-22-2222-2-2-22-2-222-22-22-200000000000000002-200000000000000000000000000002i−2i00−2i2i0000
χ522-2-222-22-22-22-22-22-22-2222-2-2-22-2-222-22-22-200000000000000002-20000000000000000000000000000−2i2i002i−2i0000
χ532-2-222-22-2-12-22-22-22-21-1-1-11112-2-111-11-11-10000002i−2i002i−2i0000-113−33−33−33−3−i3i3−i3i3−i3i3−i3i3000000−ii−ii000000000000
χ542-2-222-22-2-12-22-22-22-21-1-1-11112-2-111-11-11-10000002i−2i002i−2i0000-11−33−33−33−33i3−i3i3−i3i3−i3i3−i3000000−ii−ii000000000000
χ552-2-222-22-2-12-22-22-22-21-1-1-11112-2-111-11-11-1000000−2i2i00−2i2i0000-113−33−33−33−3i3−i3i3−i3i3−i3i3−i3000000i−ii−i000000000000
χ562-2-222-22-2-12-22-22-22-21-1-1-11112-2-111-11-11-1000000−2i2i00−2i2i0000-11−33−33−33−33−i3i3−i3i3−i3i3−i3i3000000i−ii−i000000000000
χ572-2-222-22-2-12-2-22-222-21-1-1-1111-22-1111-11-1-10000002i−2i00−2i2i00001-13−33−3−33−33−i3i3−i3i3i3−i3i3−i3000000−iii−i000000000000
χ582-2-222-22-2-12-2-22-222-21-1-1-1111-22-1111-11-1-10000002i−2i00−2i2i00001-1−33−333−33−3i3−i3i3−i3−i3i3−i3i3000000−iii−i000000000000
χ592-2-222-22-2-12-2-22-222-21-1-1-1111-22-1111-11-1-1000000−2i2i002i−2i00001-13−33−3−33−33i3−i3i3−i3−i3i3−i3i3000000i−i−ii000000000000
χ602-2-222-22-2-12-2-22-222-21-1-1-1111-22-1111-11-1-1000000−2i2i002i−2i00001-1−33−333−33−3−i3i3−i3i3i3−i3i3−i3000000i−i−ii000000000000
χ6144444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-4222-2-2-2-2200000000000000002200000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244222222220000000000000000-2-200000000000000000000000000000000000000
χ634444-4-4-4-4-2440000-4-4-2-222-22200-2-220000200004-4000000000000-2-2220000000000000000000000000000000000
χ644444-4-4-4-4-2440000-4-4-2-222-22200-2-22000020000-4400000000000022-2-20000000000000000000000000000000000
χ654444-4-4-4-4-2-4-4000044-2-222-2220022-20000-2000000004i−4i000000000000−2i−2i2i2i000000000000000000000000000000
χ664444-4-4-4-4-2-4-4000044-2-222-2220022-20000-200000000−4i4i0000000000002i2i−2i−2i000000000000000000000000000000
χ6744-4-44-4-444004i−4i−4i4i004-44-4-4-44000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ6844-4-44-4-44400−4i4i4i−4i004-44-4-4-4400000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ6944-4-44-4-44-2004i−4i−4i4i00-22-2222-200000−2i2i2i−2i000000000000000000000000000i6−i6−i6i66−6−660000000000000000000000
χ7044-4-44-4-44-2004i−4i−4i4i00-22-2222-200000−2i2i2i−2i000000000000000000000000000−i6i6i6−i6−666−60000000000000000000000
χ7144-4-44-4-44-200−4i4i4i−4i00-22-2222-2000002i−2i−2i2i000000000000000000000000000i6−i6−i6i6−666−60000000000000000000000
χ7244-4-44-4-44-200−4i4i4i−4i00-22-2222-2000002i−2i−2i2i000000000000000000000000000−i6i6i6−i66−6−660000000000000000000000
χ7344-4-4-444-44000000004-4-44-44-400000000000000000000000000000000000000000000004i−4i000000000000000000
χ7444-4-4-444-44000000004-4-44-44-40000000000000000000000000000000000000000000000−4i4i000000000000000000
χ754-44-444-4-4-2004i4i−4i−4i0022-22-2-2200000−2i−2i2i2i000000000000022−22−2i22i20000000000−2−222i2i2−i2−i20000000000000000000000
χ764-44-444-4-4-2004i4i−4i−4i0022-22-2-2200000−2i−2i2i2i0000000000000−22222i2−2i2000000000022−2−2−i2−i2i2i20000000000000000000000
χ774-44-444-4-4-200−4i−4i4i4i0022-22-2-22000002i2i−2i−2i000000000000022−222i2−2i20000000000−2−222−i2−i2i2i20000000000000000000000
χ784-44-444-4-4-200−4i−4i4i4i0022-22-2-22000002i2i−2i−2i0000000000000−2222−2i22i2000000000022−2−2i2i2−i2−i20000000000000000000000
χ794-44-4-4-444400000000-4-4-444-4400000000004-4-440000000000000000000000000000000000000000000000000000
χ804-44-4-4-444400000000-4-4-444-440000000000-444-40000000000000000000000000000000000000000000000000000
χ814-4-444-44-4-2-444-44-4-442-2-2-2222-442-2-2-22-22200000000000000002-200000000000000000000000000000000000000
χ824-4-444-44-4-2-44-44-44-442-2-2-22224-42-2-22-22-220000000000000000-2200000000000000000000000000000000000000
χ834-4-44-44-4444-40000-44-44-4-4-444004-440000-400000000000000000000000000000000000000000000000000000000
χ844-4-44-44-444-4400004-4-44-4-4-44400-44-40000400000000000000000000000000000000000000000000000000000000
χ854-4-44-44-44-24-40000-442-2222-2-200-22-20000200000000000000000023−23−23230000000000000000000000000000000000
χ864-4-44-44-44-24-40000-442-2222-2-200-22-200002000000000000000000−232323−230000000000000000000000000000000000
χ874-4-44-44-44-2-4400004-42-2222-2-2002-220000-20000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ884-4-44-44-44-2-4400004-42-2222-2-2002-220000-200000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ8988-8-8-888-8-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-8-888-400000000444-4-44-4000000000000000000000000000000000000000000000000000000000000000000

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