Finite Group Databasebeta

← Group #10855261

Character table — Group #10855261

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order122222223444444446666666448888888812121212121212121212121224242424242424242424242424242424444422224444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-1
χ91111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1111-1-1-1-111-1-11-1-1-111-1-111
χ101111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1111-1-111-1-1
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-1-1-1-11-1-11111-1-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-11111-1-1111-111-1-1-1-111
χ131111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-11-11111-1-1-1-1111-1-1-1-1-111-1-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-111111-1-111
χ151111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-11-1-1-1-1111111-11-1-1-1-1-1-111
χ161111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-11-1111111-1-1
χ17222222222-22222-2-2-22222222-2-200000000-2-2-2-2-2-22222-2-20000000000000000000000002222000000000000-2-200000000
χ18222222222-22222-2-2-22222222-2-200000000-2-2-2-2-2-22222-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ19222222222-2-2-2-2-2-2-2-2222222222000000002222-2-2-2-2-2-2-2-200000000000000000000000022-2-2000000000000-2200000000
χ20222222222-2-2-2-2-2-2-2-2222222222000000002222-2-2-2-2-2-2-2-2000000000000000000000000-2-2220000000000002-200000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-111-1-111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000002211-1-111-1-1000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-200000000-22-1-11111-1-1000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222000000002-211-1-1-1-111000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2000000002-2-1-1-1-11111000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22200000000-221111-1-1-1-1000000000000
χ292222-2-2-2-22-20000-2222-2-22-22-2002i2i−2i−2i000000002-200002-22i2i2i2i−2i−2i−2i−2i00000000000022-2-2000000000000000000002i−2i0000
χ302222-2-2-2-22-20000-2222-2-22-22-2002i2i−2i−2i000000002-200002-22i2i2i2i−2i−2i−2i−2i000000000000-2-22200000000000000000000−2i2i0000
χ312222-2-2-2-22-20000-2222-2-22-22-200−2i−2i2i2i000000002-200002-2−2i−2i−2i−2i2i2i2i2i00000000000022-2-200000000000000000000−2i2i0000
χ322222-2-2-2-22-20000-2222-2-22-22-200−2i−2i2i2i000000002-200002-2−2i−2i−2i−2i2i2i2i2i000000000000-2-222000000000000000000002i−2i0000
χ332-22-2-222-2202i2i−2i−2i000-2-2222-2-200−i2i2−i2i222−2−20000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i22222−2−2−2−2000000002-22i−2i0000000000000000002−2−i2i2
χ342-22-2-222-2202i2i−2i−2i000-2-2222-2-200−i2i2−i2i222−2−20000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i22222−2−2−2−200000000-22−2i2i000000000000000000−22i2−i2
χ352-22-2-222-2202i2i−2i−2i000-2-2222-2-200i2−i2i2−i2−2−2220000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i2−2−2−2−22222000000002-22i−2i000000000000000000−22i2−i2
χ362-22-2-222-2202i2i−2i−2i000-2-2222-2-200i2−i2i2−i2−2−2220000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i2−2−2−2−2222200000000-22−2i2i0000000000000000002−2−i2i2
χ372-22-2-222-220−2i−2i2i2i000-2-2222-2-200−i2i2−i2i2−2−222000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i2−2−2−2−22222000000002-2−2i2i000000000000000000−22−i2i2
χ382-22-2-222-220−2i−2i2i2i000-2-2222-2-200−i2i2−i2i2−2−222000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i2−2−2−2−2222200000000-222i−2i0000000000000000002−2i2−i2
χ392-22-2-222-220−2i−2i2i2i000-2-2222-2-200i2−i2i2−i222−2−2000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i22222−2−2−2−2000000002-2−2i2i0000000000000000002−2i2−i2
χ402-22-2-222-220−2i−2i2i2i000-2-2222-2-200i2−i2i2−i222−2−2000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i22222−2−2−2−200000000-222i−2i000000000000000000−22−i2i2
χ412-2-222-22-2222i−2i2i−2i-2-22-22-2-222-22i−2i000000002i2i−2i−2i-222i−2i2i−2i2-2000000000000000000002-22-20000000000000000002i−2i000000
χ422-2-222-22-2222i−2i2i−2i-2-22-22-2-222-22i−2i000000002i2i−2i−2i-222i−2i2i−2i2-200000000000000000000-22-22000000000000000000−2i2i000000
χ432-2-222-22-222−2i2i−2i2i-2-22-22-2-222-2−2i2i00000000−2i−2i2i2i-22−2i2i−2i2i2-2000000000000000000002-22-2000000000000000000−2i2i000000
χ442-2-222-22-222−2i2i−2i2i-2-22-22-2-222-2−2i2i00000000−2i−2i2i2i-22−2i2i−2i2i2-200000000000000000000-22-220000000000000000002i−2i000000
χ452-2-222-22-22-22i−2i2i−2i22-2-22-2-222-2−2i2i00000000−2i−2i2i2i2-22i−2i2i−2i-2200000000000000002-22i−2i00000000002-2002i−2i00000000000000
χ462-2-222-22-22-22i−2i2i−2i22-2-22-2-222-2−2i2i00000000−2i−2i2i2i2-22i−2i2i−2i-220000000000000000-22−2i2i0000000000-2200−2i2i00000000000000
χ472-2-222-22-22-2−2i2i−2i2i22-2-22-2-222-22i−2i000000002i2i−2i−2i2-2−2i2i−2i2i-2200000000000000002-2−2i2i00000000002-200−2i2i00000000000000
χ482-2-222-22-22-2−2i2i−2i2i22-2-22-2-222-22i−2i000000002i2i−2i−2i2-2−2i2i−2i2i-220000000000000000-222i−2i0000000000-22002i−2i00000000000000
χ492-2-222-22-2-1-22i−2i2i−2i22-21-111-1-11−2i2i00000000ii−i−i-11−ii−ii1-1−i3i3−i3i3−i3i3−i3i333−3−333−3−32-22i−2i0000000000-113−3−ii−i3i3000000000000
χ502-2-222-22-2-1-22i−2i2i−2i22-21-111-1-11−2i2i00000000ii−i−i-11−ii−ii1-1−i3i3−i3i3−i3i3−i3i333−3−333−3−3-22−2i2i00000000001-1−33i−ii3−i3000000000000
χ512-2-222-22-2-1-22i−2i2i−2i22-21-111-1-11−2i2i00000000ii−i−i-11−ii−ii1-1i3−i3i3−i3i3−i3i3−i3−3−333−3−3332-22i−2i0000000000-11−33−iii3−i3000000000000
χ522-2-222-22-2-1-22i−2i2i−2i22-21-111-1-11−2i2i00000000ii−i−i-11−ii−ii1-1i3−i3i3−i3i3−i3i3−i3−3−333−3−333-22−2i2i00000000001-13−3i−i−i3i3000000000000
χ532-2-222-22-2-1-2−2i2i−2i2i22-21-111-1-112i−2i00000000−i−iii-11i−ii−i1-1−i3i3−i3i3−i3i3−i3i3−3−333−3−3332-2−2i2i0000000000-11−33i−i−i3i3000000000000
χ542-2-222-22-2-1-2−2i2i−2i2i22-21-111-1-112i−2i00000000−i−iii-11i−ii−i1-1−i3i3−i3i3−i3i3−i3i3−3−333−3−333-222i−2i00000000001-13−3−iii3−i3000000000000
χ552-2-222-22-2-1-2−2i2i−2i2i22-21-111-1-112i−2i00000000−i−iii-11i−ii−i1-1i3−i3i3−i3i3−i3i3−i333−3−333−3−32-2−2i2i0000000000-113−3i−ii3−i3000000000000
χ562-2-222-22-2-1-2−2i2i−2i2i22-21-111-1-112i−2i00000000−i−iii-11i−ii−i1-1i3−i3i3−i3i3−i3i3−i333−3−333−3−3-222i−2i00000000001-1−33−ii−i3i3000000000000
χ572-2-22-22-222-200002-22-2-22-2-2220000002-22-20000-2-2000022000000002-22-22-22-200002-2-22000000000000002-20000000000
χ582-2-22-22-222-200002-22-2-22-2-2220000002-22-20000-2-2000022000000002-22-22-22-20000-222-200000000000000-220000000000
χ592-2-22-22-222-200002-22-2-22-2-222000000-22-220000-2-200002200000000-22-22-22-2200002-2-2200000000000000-220000000000
χ602-2-22-22-222-200002-22-2-22-2-222000000-22-220000-2-200002200000000-22-22-22-220000-222-2000000000000002-20000000000
χ6144444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000-2-2-2-22222222200000000000000000000000000000000000000000000000000
χ634444-4-4-4-44400004-4-44-4-44-44-400000000000000-440000-4400000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-2400004-4-4-222-22-22000000000000002-200002-20000000023−23−232323−23−23230000000000000000000000000000000000
χ654444-4-4-4-4-2400004-4-4-222-22-22000000000000002-200002-200000000−232323−23−232323−230000000000000000000000000000000000
χ664444-4-4-4-4-2-40000-444-222-22-22004i4i−4i−4i00000000-220000-22−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ674444-4-4-4-4-2-40000-444-222-22-2200−4i−4i4i4i00000000-220000-222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ6844-4-444-4-4400000000444-4-4-4-400000022−22−22220000000000000000000022−2222−22−2222−22220000000000000000000000000000000000
χ6944-4-444-4-4400000000444-4-4-4-4000000−222222−2200000000000000000000−2222−222222−2222−220000000000000000000000000000000000
χ7044-4-444-4-4-200000000-2-2-2222200000022−22−2222−2i32i3−2i32i300000000i6−i6−i6i6−i6i6i6−i6−22−222−22−20000000000000000000000000000000000
χ7144-4-444-4-4-200000000-2-2-2222200000022−22−22222i3−2i32i3−2i300000000−i6i6i6−i6i6−i6−i6i6−22−222−22−20000000000000000000000000000000000
χ7244-4-444-4-4-200000000-2-2-22222000000−222222−22−2i32i3−2i32i300000000−i6i6i6−i6i6−i6−i6i62−22−2−22−220000000000000000000000000000000000
χ7344-4-444-4-4-200000000-2-2-22222000000−222222−222i3−2i32i3−2i300000000i6−i6−i6i6−i6i6i6−i62−22−2−22−220000000000000000000000000000000000
χ7444-4-4-4-444404-4-440004-4-4-44-4400000000000000004-4-440000000000000000000000000000000000000000000000000000
χ7544-4-4-4-44440-444-40004-4-4-44-440000000000000000-444-40000000000000000000000000000000000000000000000000000
χ7644-4-4-4-444-204-4-44000-2222-22-20000000000000000-222-2006−6−666−6−6666−6−6−6−6660000000000000000000000000000000000
χ7744-4-4-4-444-204-4-44000-2222-22-20000000000000000-222-200−666−6−666−6−6−66666−6−60000000000000000000000000000000000
χ7844-4-4-4-444-20-444-4000-2222-22-200000000000000002-2-22006−6−666−6−66−6−66666−6−60000000000000000000000000000000000
χ7944-4-4-4-444-20-444-4000-2222-22-200000000000000002-2-2200−666−6−666−666−6−6−6−6660000000000000000000000000000000000
χ804-44-44-4-44400000000-44-44-4-440022−22−222200000000000000002222−22−22−22−222222000000000000000000000000000000000000000000
χ814-44-44-4-44400000000-44-44-4-4400−222222−220000000000000000−22−2222222222−22−22000000000000000000000000000000000000000000
χ824-44-44-4-44-2000000002-22-222-20022−22−2222000023−23−232300000000−2−22222−2−26−6−66−666−60000000000000000000000000000000000
χ834-44-44-4-44-2000000002-22-222-20022−22−22220000−232323−2300000000−2−22222−2−2−666−66−6−660000000000000000000000000000000000
χ844-44-44-4-44-2000000002-22-222-200−222222−22000023−23−23230000000022−2−2−2−222−666−66−6−660000000000000000000000000000000000
χ854-44-44-4-44-2000000002-22-222-200−222222−220000−232323−230000000022−2−2−2−2226−6−66−666−60000000000000000000000000000000000
χ864-44-4-444-4-204i4i−4i−4i00022-2-2-22200−2i22i2−2i22i22222−22−22000000−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−2−2−222220000000000000000000000000000000000
χ874-44-4-444-4-204i4i−4i−4i00022-2-2-222002i2−2i22i2−2i2−22−222222000000−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i22222−2−2−2−20000000000000000000000000000000000
χ884-44-4-444-4-20−4i−4i4i4i00022-2-2-22200−2i22i2−2i22i2−22−2222220000002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i22222−2−2−2−20000000000000000000000000000000000
χ894-44-4-444-4-20−4i−4i4i4i00022-2-2-222002i2−2i22i2−2i22222−22−220000002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−2−2−222220000000000000000000000000000000000
χ904-4-444-44-4-244i−4i4i−4i-4-442-222-2-224i−4i00000000−2i−2i2i2i2-2−2i2i−2i2i-2200000000000000000000000000000000000000000000000000
χ914-4-444-44-4-24−4i4i−4i4i-4-442-222-2-22−4i4i000000002i2i−2i−2i2-22i−2i2i−2i-2200000000000000000000000000000000000000000000000000
χ924-4-44-44-44440000-44-4-4-44-4-44400000000000000440000-4-400000000000000000000000000000000000000000000000000
χ934-4-44-44-44-240000-44-422-222-2-200000000000000-2-200002223−2323−23−2323−2323000000000000000000000000000000000000000000
χ944-4-44-44-44-240000-44-422-222-2-200000000000000-2-2000022−2323−232323−2323−23000000000000000000000000000000000000000000
χ954-4-44-44-44-2-400004-4422-222-2-20000004-44-40000220000-2-200000000-22-22-22-220000000000000000000000000000000000
χ964-4-44-44-44-2-400004-4422-222-2-2000000-44-440000220000-2-2000000002-22-22-22-20000000000000000000000000000000000

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