Finite Group Databasebeta

← Group #10844779

Character table — Group #10844779

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order1222222234444444466666664488888888121212121212121212121212242424242424242424242424242424242444661212121212124444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1111111-1-1-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111-1-1-1-1-1111-111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-111111-1-1-11-1-111
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-11-1-1-1-111-11-1-111
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-11-11111-1-11-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1111-1-1-111-1-11-1-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1111-1-111-1111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-11-1-111-1-1-1111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11-111-1-1111-1-1-111
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-20000000000000000000000000000002-2000000-220000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2000000000000000000000000000000-220000002-20000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-22222-2-2-2-200000000000000000000000000000022000000-2-20000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-22222-2-2-2-2000000000000000000000000000000-2-2000000220000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112-2-22-1-11111-1-10000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-222-211-1-1-1-1110000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111112-22-2-1-1-1-111110000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-22-221111-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-1-111-1-1110000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22211-1-111-1-10000000000000000
χ2922-22-2-22-2200002-2-2222-2-2-2-22002i2i−2i−2i0000000000002-22-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002i−2i2-200000000
χ3022-22-2-22-2200002-2-2222-2-2-2-22002i2i−2i−2i0000000000002-22-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i2i-2200000000
χ3122-22-2-22-2200002-2-2222-2-2-2-2200−2i−2i2i2i0000000000002-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i−2i-2200000000
χ3222-22-2-22-2200002-2-2222-2-2-2-2200−2i−2i2i2i0000000000002-22-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i2i2-200000000
χ332-22-2-222-2200002-22-2-2-2-2-2222002-22-20000000000002-2-2222-2-222-2-2000000000000000000002i−2i0000002i−2i000000
χ342-22-2-222-2200002-22-2-2-2-2-2222002-22-20000000000002-2-2222-2-222-2-200000000000000000000−2i2i000000−2i2i000000
χ352-22-2-222-2200002-22-2-2-2-2-222200-22-220000000000002-2-22-2-222-2-222000000000000000000002i−2i000000−2i2i000000
χ362-22-2-222-2200002-22-2-2-2-2-222200-22-220000000000002-2-22-2-222-2-22200000000000000000000−2i2i0000002i−2i000000
χ372-2-2-22-222222-2-222-2-2-2-222-2-222-22i−2i−2i2i2i2i−2i−2i22-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ382-2-2-22-222222-2-222-2-2-2-222-2-222-2−2i2i2i−2i−2i−2i2i2i22-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ392-2-2-22-222222-2-2-2-222-2-222-2-22-220000000022-2-2-2-222-2-22200000000000000000000000000000000000000002-22-2
χ402-2-2-22-222222-2-2-2-222-2-222-2-22-220000000022-2-2-2-222-2-2220000000000000000000000000000000000000000-22-22
χ412-2-2-22-2222-2-22222-2-2-2-222-2-22-222i−2i−2i2i−2i−2i2i2i-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ422-2-2-22-2222-2-22222-2-2-2-222-2-22-22−2i2i2i−2i2i2i−2i−2i-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ432-2-2-22-2222-2-222-2-222-2-222-2-222-200000000-2-22222-2-2-2-22200000000000000000000000000000000000000002-2-22
χ442-2-2-22-2222-2-222-2-222-2-222-2-222-200000000-2-22222-2-2-2-2220000000000000000000000000000000000000000-222-2
χ452-2-2-22-222-122-2-222-2-211-1-111-12-22i−2i−2i2i2i2i−2i−2i-1-111-1-111-1-111−i−iiiii−i−i−i−i−i−iiiii0000−i3i33−33−3−i3i30000000000000000
χ462-2-2-22-222-122-2-222-2-211-1-111-12-22i−2i−2i2i2i2i−2i−2i-1-111-1-111-1-111−i−iiiii−i−i−i−i−i−iiiii0000i3−i3−33−33i3−i30000000000000000
χ472-2-2-22-222-122-2-222-2-211-1-111-12-2−2i2i2i−2i−2i−2i2i2i-1-111-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i0000−i3i3−33−33−i3i30000000000000000
χ482-2-2-22-222-122-2-222-2-211-1-111-12-2−2i2i2i−2i−2i−2i2i2i-1-111-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i0000i3−i33−33−3i3−i30000000000000000
χ492-2-2-22-222-1-2-22222-2-211-1-111-1-222i−2i−2i2i−2i−2i2i2i11-1-111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i0000−i3i33−3−33i3−i30000000000000000
χ502-2-2-22-222-1-2-22222-2-211-1-111-1-222i−2i−2i2i−2i−2i2i2i11-1-111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i0000i3−i3−333−3−i3i30000000000000000
χ512-2-2-22-222-1-2-22222-2-211-1-111-1-22−2i2i2i−2i2i2i−2i−2i11-1-111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii0000−i3i3−333−3i3−i30000000000000000
χ522-2-2-22-222-1-2-22222-2-211-1-111-1-22−2i2i2i−2i2i2i−2i−2i11-1-111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii0000i3−i33−3−33−i3i30000000000000000
χ5344444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222222200000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000000002222-2-2-2-2222200000000000000000000000000000000000000000000
χ55444-44-4-4-44000000004-44-44-4-400000022−2222−22000000000000000000002222−22−222222−22−220000000000000000000000000000
χ56444-44-4-4-44000000004-44-44-4-4000000−2222−222200000000000000000000−22−222222−22−2222220000000000000000000000000000
χ57444-44-4-4-4-200000000-22-22-22200000022−2222−22000023−2323−2300006−66−66−66−6−2−222−2−2220000000000000000000000000000
χ58444-44-4-4-4-200000000-22-22-22200000022−2222−220000−2323−23230000−66−66−66−66−2−222−2−2220000000000000000000000000000
χ59444-44-4-4-4-200000000-22-22-222000000−2222−2222000023−2323−230000−66−66−66−6622−2−222−2−20000000000000000000000000000
χ60444-44-4-4-4-200000000-22-22-222000000−2222−22220000−2323−232300006−66−66−66−622−2−222−2−20000000000000000000000000000
χ6144-44-4-44-440000-444-444-4-4-4-44000000000000000000-44-4400000000000000000000000000000000000000000000
χ6244-44-4-44-4-200004-4-44-2-22222-2004i4i−4i−4i000000000000-22-22−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ6344-44-4-44-4-200004-4-44-2-22222-200−4i−4i4i4i000000000000-22-222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ6444-44-4-44-4-20000-444-4-2-22222-20000000000000000002-22-20000000023−2323−2323−2323−230000000000000000000000000000
χ6544-44-4-44-4-20000-444-4-2-22222-20000000000000000002-22-200000000−2323−2323−2323−23230000000000000000000000000000
χ6644-4-4-44-4444i−4i4i−4i00004-4-44-44-400000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ6744-4-4-44-444−4i4i−4i4i00004-4-44-44-40000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ6844-4-4-44-44-24i−4i4i−4i0000-222-22-220000000000−2i2i−2i2i00000000i6−i6i6−i6−i6i6−i6i66−6−666−6−660000000000000000000000000000
χ6944-4-4-44-44-24i−4i4i−4i0000-222-22-220000000000−2i2i−2i2i00000000−i6i6−i6i6i6−i6i6−i6−666−6−666−60000000000000000000000000000
χ7044-4-4-44-44-2−4i4i−4i4i0000-222-22-2200000000002i−2i2i−2i00000000i6−i6i6−i6−i6i6−i6i6−666−6−666−60000000000000000000000000000
χ7144-4-4-44-44-2−4i4i−4i4i0000-222-22-2200000000002i−2i2i−2i00000000−i6i6−i6i6i6−i6i6−i66−6−666−6−660000000000000000000000000000
χ724-444-4-4-4444i−4i−4i4i0000-44-444-4-400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ734-444-4-4-444−4i4i4i−4i0000-44-444-4-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ744-444-4-4-44-24i−4i−4i4i00002-22-2-2220000000000−2i2i2i−2i000000006−6−666−6−66−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ754-444-4-4-44-24i−4i−4i4i00002-22-2-2220000000000−2i2i2i−2i00000000−666−6−666−6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ764-444-4-4-44-2−4i4i4i−4i00002-22-2-22200000000002i−2i−2i2i000000006−6−666−6−66i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ774-444-4-4-44-2−4i4i4i−4i00002-22-2-22200000000002i−2i−2i2i00000000−666−6−666−6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ784-44-4-444-440000-44-44-4-4-4-4444000000000000000000-444-400000000000000000000000000000000000000000000
χ794-44-4-444-4-200004-44-42222-2-2-2004-44-4000000000000-222-2-2-222-2-222000000000000000000000000000000000000
χ804-44-4-444-4-200004-44-42222-2-2-200-44-44000000000000-222-222-2-222-2-2000000000000000000000000000000000000
χ814-44-4-444-4-20000-44-442222-2-2-20000000000000000002-2-2200000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000
χ824-44-4-444-4-20000-44-442222-2-2-20000000000000000002-2-22000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000
χ834-4-4444-4-4400000000-444-4-44-4000000−2i22i22i2−2i200000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000
χ844-4-4444-4-4400000000-444-4-44-40000002i2−2i2−2i22i2000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000
χ854-4-4444-4-4-2000000002-2-222-22000000−2i22i22i2−2i2000023−23−23230000−i6i6i6−i6i6−i6−i6i6i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ864-4-4444-4-4-2000000002-2-222-22000000−2i22i22i2−2i20000−232323−230000i6−i6−i6i6−i6i6i6−i6i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ874-4-4444-4-4-2000000002-2-222-220000002i2−2i2−2i22i2000023−23−23230000i6−i6−i6i6−i6i6i6−i6−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ884-4-4444-4-4-2000000002-2-222-220000002i2−2i2−2i22i20000−232323−230000−i6i6i6−i6i6−i6−i6i6−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ894-4-4-44-444-244-4-4-4-44422-2-222-2-4400000000-2-22222-2-222-2-200000000000000000000000000000000000000000000
χ904-4-4-44-444-2-4-444-4-44422-2-222-24-40000000022-2-2-2-22222-2-200000000000000000000000000000000000000000000

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