Finite Group Databasebeta

← Group #10826806

Character table — Group #10826806

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444444444444488888888888888888888888888888888242424242424242448484848
order122222222236662244444466666666661212121212121212222444444466666612121212121212121212121212121212222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ7111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-111-1-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-111-1-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-11-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11-1111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11-1111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-11-1-11
χ172222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-22-2-2-1-1111111111111-1-1-1-11111000000000000
χ192222222222-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-222-2-2-2-2-22211-1-1-1-1111111111111-1-1-1-1000000000000
χ202222222222-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-22222-2-2-2111111-1-1-1-1-1-1-1-111111111000000000000
χ212222222222-1-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-22-222-2-2-22-211-1-111-1-1-1-11111-1-111-1-111000000000000
χ222222222222-1-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-2-22-2-222-2-221111-1-11111-1-1-1-1-1-11111-1-1000000000000
χ232222222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111122-2-2-22222-2-1-1-1-1111111-1-1-1-111-1-1-1-111000000000000
χ242222222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111112-2222-2-22-22-1-111-1-1-1-1-1-1111111-1-111-1-1000000000000
χ2522222-2-2-2-22222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2000000200-2-2000000000000-2-2220000000000000000
χ2622222-2-2-2-22222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22000000-2002200000000000022-2-20000000000000000
χ2722222-2-2-2-222222-2-22222-2-222-2-2-2-2-2-2-2-2222222222000000-20022000000000000-2-2-2-20000000000000000
χ2822222-2-2-2-222222-2-222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2000000200-2-200000000000022220000000000000000
χ2922222-2-2-2-22-1-1-1-122-2-222-2-2-1-11111-1-1-1-11111-1-1-1-1-200000020011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i311-1-1−i3i3−i3i3000000000000
χ3022222-2-2-2-22-1-1-1-122-2-222-2-2-1-11111-1-1-1-11111-1-1-1-1-200000020011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i311-1-1i3−i3i3−i3000000000000
χ3122222-2-2-2-22-1-1-1-122-2-2-2-222-1-11111-1-1-1-1111111112000000-200-1-1−i3i3−i3i3i3i3−i3−i3i3i3−i3−i3-1-111−i3i3−i3i3000000000000
χ3222222-2-2-2-22-1-1-1-122-2-2-2-222-1-11111-1-1-1-1111111112000000-200-1-1i3−i3i3−i3−i3−i3i3i3−i3−i3i3i3-1-111i3−i3i3−i3000000000000
χ3322222-2-2-2-22-1-1-1-1-2-22222-2-2-1-111111111-1-1-1-1-1-1-1-12000000-200-1-1−i3i3i3−i3−i3−i3i3i3i3i3−i3−i31111−i3i3i3−i3000000000000
χ3422222-2-2-2-22-1-1-1-1-2-22222-2-2-1-111111111-1-1-1-1-1-1-1-12000000-200-1-1i3−i3−i3i3i3i3−i3−i3−i3−i3i3i31111i3−i3−i3i3000000000000
χ3522222-2-2-2-22-1-1-1-1-2-222-2-222-1-111111111-1-1-1-11111-200000020011−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3-1-1-1-1−i3i3i3−i3000000000000
χ3622222-2-2-2-22-1-1-1-1-2-222-2-222-1-111111111-1-1-1-11111-200000020011i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3-1-1-1-1i3−i3−i3i3000000000000
χ372222-222-2-2-2222200002-22-2-2-222-2-20000000022-2-2002002-200-200002200002-22-22-20000-2-2000000000000
χ382222-222-2-2-2222200002-22-2-2-222-2-20000000022-2-200-200-220020000-2-20000-22-222-2000022000000000000
χ392222-222-2-2-222220000-22-22-2-222-2-200000000-2-22200200-2200-20000220000-22-22-220000-2-2000000000000
χ402222-222-2-2-222220000-22-22-2-222-2-200000000-2-22200-2002-20020000-2-200002-22-2-22000022000000000000
χ412222-222-2-2-2-1-1-1-100002-22-211-1-111−i3−i3i3i3−i3−i3i3i3-1-111002002-200-2−i3i3−i3i3-1-1−i3i3−i3i3-11-11-11−i3i3i3−i311000000000000
χ422222-222-2-2-2-1-1-1-100002-22-211-1-111−i3−i3i3i3−i3−i3i3i3-1-11100-200-22002−i3i3i3−i311i3−i3i3−i31-11-1-11−i3i3−i3i3-1-1000000000000
χ432222-222-2-2-2-1-1-1-100002-22-211-1-111i3i3−i3−i3i3i3−i3−i3-1-111002002-200-2i3−i3i3−i3-1-1i3−i3i3−i3-11-11-11i3−i3−i3i311000000000000
χ442222-222-2-2-2-1-1-1-100002-22-211-1-111i3i3−i3−i3i3i3−i3−i3-1-11100-200-22002i3−i3−i3i311−i3i3−i3i31-11-1-11i3−i3i3−i3-1-1000000000000
χ452222-222-2-2-2-1-1-1-10000-22-2211-1-111−i3−i3i3i3−i3−i3i3i311-1-100200-2200-2i3−i3−i3i3-1-1i3−i3i3−i31-11-11-1i3−i3i3−i311000000000000
χ462222-222-2-2-2-1-1-1-10000-22-2211-1-111−i3−i3i3i3−i3−i3i3i311-1-100-2002-2002i3−i3i3−i311−i3i3−i3i3-11-111-1i3−i3−i3i3-1-1000000000000
χ472222-222-2-2-2-1-1-1-10000-22-2211-1-111i3i3−i3−i3i3i3−i3−i311-1-100200-2200-2−i3i3i3−i3-1-1−i3i3−i3i31-11-11-1−i3i3−i3i311000000000000
χ482222-222-2-2-2-1-1-1-10000-22-2211-1-111i3i3−i3−i3i3i3−i3−i311-1-100-2002-2002−i3i3−i3i311i3−i3i3−i3-11-111-1−i3i3i3−i3-1-1000000000000
χ492222-2-2-222-2222200002-2-22-2-2-2-2220000000022-2-20202-2000-200022002-2-220000-2200-2-200000000000000
χ502222-2-2-222-2222200002-2-22-2-2-2-2220000000022-2-20-20-220002000-2-200-222-20000-22002200000000000000
χ512222-2-2-222-222220000-222-2-2-2-2-22200000000-2-222020-22000-20002200-222-200002-200-2-200000000000000
χ522222-2-2-222-222220000-222-2-2-2-2-22200000000-2-2220-202-20002000-2-2002-2-2200002-2002200000000000000
χ532222-2-2-222-2-1-1-1-100002-2-221111-1-1−i3−i3i3i3i3i3−i3−i3-1-1110202-2000-20i3−i3-1-1−i3i3-111-1−i3i3i3−i31-1−i3i311i3−i3000000000000
χ542222-2-2-222-2-1-1-1-100002-2-221111-1-1−i3−i3i3i3i3i3−i3−i3-1-1110-20-2200020i3−i311i3−i31-1-11i3−i3−i3i31-1−i3i3-1-1−i3i3000000000000
χ552222-2-2-222-2-1-1-1-100002-2-221111-1-1i3i3−i3−i3−i3−i3i3i3-1-1110202-2000-20−i3i3-1-1i3−i3-111-1i3−i3−i3i31-1i3−i311−i3i3000000000000
χ562222-2-2-222-2-1-1-1-100002-2-221111-1-1i3i3−i3−i3−i3−i3i3i3-1-1110-20-2200020−i3i311−i3i31-1-11−i3i3i3−i31-1i3−i3-1-1i3−i3000000000000
χ572222-2-2-222-2-1-1-1-10000-222-21111-1-1−i3−i3i3i3i3i3−i3−i311-1-1020-22000-20−i3i3-1-1−i3i31-1-11i3−i3−i3i3-11i3−i311i3−i3000000000000
χ582222-2-2-222-2-1-1-1-10000-222-21111-1-1−i3−i3i3i3i3i3−i3−i311-1-10-202-200020−i3i311i3−i3-111-1−i3i3i3−i3-11i3−i3-1-1−i3i3000000000000
χ592222-2-2-222-2-1-1-1-10000-222-21111-1-1i3i3−i3−i3−i3−i3i3i311-1-1020-22000-20i3−i3-1-1i3−i31-1-11−i3i3i3−i3-11−i3i311−i3i3000000000000
χ602222-2-2-222-2-1-1-1-10000-222-21111-1-1i3i3−i3−i3−i3−i3i3i311-1-10-202-200020i3−i311−i3i3-111-1i3−i3−i3i3-11−i3i3-1-1i3−i3000000000000
χ612-2-22-22-22-222-2-222-22-200002-22-22-22-22-22-22-2000000000000000000000000000000000000002-2002-20000
χ622-2-22-22-22-222-2-222-22-200002-22-22-22-22-22-22-200000000000000000000000000000000000000-2200-220000
χ632-2-22-22-22-222-2-22-22-2200002-22-22-2-22-22-22-22000000000000000000000000000000000000002-200-220000
χ642-2-22-22-22-222-2-22-22-2200002-22-22-2-22-22-22-2200000000000000000000000000000000000000-22002-20000
χ652-2-22-2-22-2222-2-222-2-2200002-2-22-222-22-2-22-220000000000000000000000000000000000002-2002-2000000
χ662-2-22-2-22-2222-2-222-2-2200002-2-22-222-22-2-22-22000000000000000000000000000000000000-2200-22000000
χ672-2-22-2-22-2222-2-22-222-200002-2-22-22-22-222-22-20000000000000000000000000000000000002-200-22000000
χ682-2-22-2-22-2222-2-22-222-200002-2-22-22-22-222-22-2000000000000000000000000000000000000-22002-2000000
χ694-4-4444-4-44-44-4-4400000000-444-4-4400000000000000000000000000000000000000000000000000000000
χ704-4-4444-4-44-4-222-2000000002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ714-4-4444-4-44-4-222-2000000002-2-222-22i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ724-4-444-444-4-44-4-4400000000-44-444-400000000000000000000000000000000000000000000000000000000
χ734-4-444-444-4-4-222-2000000002-22-2-22−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ744-4-444-444-4-4-222-2000000002-22-2-222i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ754-4-44-44-44-44-222-24-44-40000-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000
χ764-4-44-44-44-44-222-2-44-440000-22-22-222-22-22-22-2000000000000000000000000000000000000000000000000
χ774-4-44-4-44-444-222-24-4-440000-222-22-2-22-222-22-2000000000000000000000000000000000000000000000000
χ784-4-44-4-44-444-222-2-444-40000-222-22-22-22-2-22-22000000000000000000000000000000000000000000000000
χ7988-8-800000088-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8000000-4-44400000000000000000000000043−4300000000000000000000000000000000000000000000
χ8188-8-8000000-4-444000000000000000000000000−434300000000000000000000000000000000000000000000
χ828-88-80000008-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8000000-44-44000000000000000000000043−430000000000000000000000000000000000000000000000
χ848-88-8000000-44-440000000000000000000000−43430000000000000000000000000000000000000000000000

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