Finite Group Databasebeta

← Group #10855136

Character table — Group #10855136

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444444444444888888888888888888888888121212121616161616162424242424242424242424242424
order122222223444466666662244444466661212121244888812121212121212121212242424242424242444442466121224444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111
χ911111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-11-1-1-11111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1-1111-1-1-1-1-11111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-111-111111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-1111-111-1-1-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-11-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-11-11111-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-111-1-1-11-1-1-1-1111111-1-1
χ17222222222-2-2-2-2222222222-2-200002222-2-2-2-2000000-2-200000000000000002222000000-2-2000000000000
χ18222222222-2-2-2-2222222222-2-200002222-2-2-2-2000000-2-20000000000000000-2-2-2-200000022000000000000
χ19222222222-2-2-2-22222222-2-2220000-2-2-2-2-2-2-2-200000022000000000000000022-2-2000000-22000000000000
χ20222222222-2-2-2-22222222-2-2220000-2-2-2-2-2-2-2-2000000220000000000000000-2-2220000002-2000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000-2-2111100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-1-111111111-1-1-1-1-1-1-1-10000-2-2111100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111111111111111000022-1-1-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-1-2-222-2-211-1-1-1-11111-1-1-1-1111100002-2-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-1-2-2-2-22211-1-1-1-111111111-1-1-1-10000-2211-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-12222-2-2111111-1-1-1-1-1-1-1-111110000-2211-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-122-2-222111111-1-1-1-11111-1-1-1-100002-2-1-11100000000000000
χ2922-22-22-2-22-22-2222-2-22-2-200002i2i−2i−2i00002-22-2000000002i2i−2i−2i0000000000000000000000000000002i−2i002-2
χ3022-22-22-2-22-22-2222-2-22-2-200002i2i−2i−2i00002-22-2000000002i2i−2i−2i000000000000000000000000000000−2i2i00-22
χ3122-22-22-2-22-22-2222-2-22-2-20000−2i−2i2i2i00002-22-200000000−2i−2i2i2i0000000000000000000000000000002i−2i00-22
χ3222-22-22-2-22-22-2222-2-22-2-20000−2i−2i2i2i00002-22-200000000−2i−2i2i2i000000000000000000000000000000−2i2i002-2
χ332-2222-2-2-222-2-22-2-22-222-22-22-22i−2i2i−2i22-2-222-2-22i−2i00002-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000
χ342-2222-2-2-222-2-22-2-22-222-22-22-2−2i2i−2i2i22-2-222-2-2−2i2i00002-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000
χ352-2222-2-2-222-2-22-2-22-222-2-22-222i−2i2i−2i-2-22222-2-2−2i2i0000-222i−2i2i−2i−2i−2i2i2i00000000000000000000000000000000
χ362-2222-2-2-222-2-22-2-22-222-2-22-22−2i2i−2i2i-2-22222-2-22i−2i0000-22−2i2i−2i2i2i2i−2i−2i00000000000000000000000000000000
χ372-2222-2-2-22-222-2-2-22-222-22-2-22000022-2-2-2-222000000-2200000000000000000000000000002i−2i002i−2i000000
χ382-2222-2-2-22-222-2-2-22-222-22-2-22000022-2-2-2-222000000-220000000000000000000000000000−2i2i00−2i2i000000
χ392-2222-2-2-22-222-2-2-22-222-2-222-20000-2-222-2-2220000002-200000000000000000000000000002i−2i00−2i2i000000
χ402-2222-2-2-22-222-2-2-22-222-2-222-20000-2-222-2-2220000002-20000000000000000000000000000−2i2i002i−2i000000
χ412-2222-2-2-2-12-2-2211-11-1-112-22-22i−2i2i−2i-1-111-1-1112i−2i0000-11−ii−ii−i−iii33−3−333−3−3000000−i3i3−i3i300000000000000
χ422-2222-2-2-2-12-2-2211-11-1-112-22-22i−2i2i−2i-1-111-1-1112i−2i0000-11−ii−ii−i−iii−3−333−3−333000000i3−i3i3−i300000000000000
χ432-2222-2-2-2-12-2-2211-11-1-112-22-2−2i2i−2i2i-1-111-1-111−2i2i0000-11i−ii−iii−i−i33−3−333−3−3000000i3−i3i3−i300000000000000
χ442-2222-2-2-2-12-2-2211-11-1-112-22-2−2i2i−2i2i-1-111-1-111−2i2i0000-11i−ii−iii−i−i−3−333−3−333000000−i3i3−i3i300000000000000
χ452-2222-2-2-2-12-2-2211-11-1-11-22-222i−2i2i−2i11-1-1-1-111−2i2i00001-1−ii−iiii−i−i33−3−3−3−333000000−i3i3i3−i300000000000000
χ462-2222-2-2-2-12-2-2211-11-1-11-22-222i−2i2i−2i11-1-1-1-111−2i2i00001-1−ii−iiii−i−i−3−33333−3−3000000i3−i3−i3i300000000000000
χ472-2222-2-2-2-12-2-2211-11-1-11-22-22−2i2i−2i2i11-1-1-1-1112i−2i00001-1i−ii−i−i−iii33−3−3−3−333000000i3−i3−i3i300000000000000
χ482-2222-2-2-2-12-2-2211-11-1-11-22-22−2i2i−2i2i11-1-1-1-1112i−2i00001-1i−ii−i−i−iii−3−33333−3−3000000−i3i3i3−i300000000000000
χ492-2-22-2-2222-2-222-2-2-222-2200002-2-2200002-2-22000000002-2-22000000000000000000000000002-200002-200
χ502-2-22-2-2222-2-222-2-2-222-2200002-2-2200002-2-22000000002-2-2200000000000000000000000000-220000-2200
χ512-2-22-2-2222-2-222-2-2-222-220000-222-200002-2-2200000000-222-2000000000000000000000000002-20000-2200
χ522-2-22-2-2222-2-222-2-2-222-220000-222-200002-2-2200000000-222-200000000000000000000000000-2200002-200
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-40000-2-2-2-22222000000220000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-444000022222222000000-2-20000000000000000000000000000000000000000
χ55444-4-4-44-4400004-44-4-4-440000000000000000000000000000000000000000004i−4i00000000000000000000
χ56444-4-4-44-4400004-44-4-4-44000000000000000000000000000000000000000000−4i4i00000000000000000000
χ5744-44-44-4-444-44-444-4-44-4-4000000000000-44-44000000000000000000000000000000000000000000000000
χ5844-44-44-4-4-24-44-4-2-222-2220000000000002-22-200000000000023−2323−2300000000000000000000000000000000
χ5944-44-44-4-4-24-44-4-2-222-2220000000000002-22-2000000000000−2323−232300000000000000000000000000000000
χ6044-44-44-4-4-2-44-44-2-222-22200004i4i−4i−4i0000-22-2200000000−2i−2i2i2i000000000000000000000000000000000000
χ6144-44-44-4-4-2-44-44-2-222-2220000−4i−4i4i4i0000-22-22000000002i2i−2i−2i000000000000000000000000000000000000
χ6244-4-44-4-44400004-4-44-44-4000000000000000000−2i22i2000000000000−2i22i2−2i22i20000000000000000000000000000
χ6344-4-44-4-44400004-4-44-44-40000000000000000002i2−2i20000000000002i2−2i22i2−2i20000000000000000000000000000
χ6444-4-44-4-44-20000-222-22-2200000000−2i32i3−2i32i3000000−2i22i2000000000000i2−i2i2−i26−66−6000000000000000000000000
χ6544-4-44-4-44-20000-222-22-2200000000−2i32i3−2i32i30000002i2−2i2000000000000−i2i2−i2i2−66−66000000000000000000000000
χ6644-4-44-4-44-20000-222-22-22000000002i3−2i32i3−2i3000000−2i22i2000000000000i2−i2i2−i2−66−66000000000000000000000000
χ6744-4-44-4-44-20000-222-22-22000000002i3−2i32i3−2i30000002i2−2i2000000000000−i2i2−i2i26−66−6000000000000000000000000
χ684-4444-4-4-4-2-444-422-22-2-224-4-440000-2-22222-2-20000002-20000000000000000000000000000000000000000
χ694-4444-4-4-4-2-444-422-22-2-22-444-4000022-2-222-2-2000000-220000000000000000000000000000000000000000
χ704-44-4-44-4440000-4444-4-4-400000000000000000000000000000000000000004i−4i0000000000000000000000
χ714-44-4-44-4440000-4444-4-4-40000000000000000000000000000000000000000−4i4i0000000000000000000000
χ724-4-44-4-444444-4-4-4-4-444-44000000000000-444-4000000000000000000000000000000000000000000000000
χ734-4-44-4-444-244-4-4222-2-22-20000000000002-2-22000000000000−2i32i32i3−2i300000000000000000000000000000000
χ744-4-44-4-444-244-4-4222-2-22-20000000000002-2-220000000000002i3−2i3−2i32i300000000000000000000000000000000
χ754-4-44-4-444-2-4-444222-2-22-200004-4-440000-222-200000000-222-2000000000000000000000000000000000000
χ764-4-44-4-444-2-4-444222-2-22-20000-444-40000-222-2000000002-2-22000000000000000000000000000000000000
χ774-4-4-4444-440000-44-4-4-4440000000000000000000022−220000000000000022−22−2222000000000000000000000000
χ784-4-4-4444-440000-44-4-4-44400000000000000000000−222200000000000000−222222−22000000000000000000000000
χ794-4-4-4444-4-200002-2222-2-200000000−2i32i32i3−2i30000000022−220000000000i6−i6−i6i6−222−2000000000000000000000000
χ804-4-4-4444-4-200002-2222-2-200000000−2i32i32i3−2i300000000−22220000000000−i6i6i6−i62−2−22000000000000000000000000
χ814-4-4-4444-4-200002-2222-2-2000000002i3−2i3−2i32i30000000022−220000000000−i6i6i6−i6−222−2000000000000000000000000
χ824-4-4-4444-4-200002-2222-2-2000000002i3−2i3−2i32i300000000−22220000000000i6−i6−i6i62−2−22000000000000000000000000
χ83888-8-8-88-8-40000-44-4444-40000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-88-88-400004-4-4-44440000000000000000000000000000000000000000000000000000000000000000

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