Finite Group Databasebeta

← Group #72252297

Character table — Group #72252297

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222244444444444444448888888888888888888888888888812121212161616161616161616161616161616162424242424242424242424242424323232323232484848489696
order122222222236662244446666661212121222222444444444466661212121212121212121222222266666666121212121212222244444444448824242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111111-1-111111111111111-1-1-11-11-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-111-1-11-11-11-11-111-1-111-1-11-111-1-111-1-11-1
χ1011111111111111-1-111111111111111-1-1-11-11-111-1-11111-1-1-1-11111111111-1-111-1-1-1-11-1-1-1-1-111-1-11-1-11-11-11-1-111-1-1111-111-1-1-1-111-11
χ1111111111111111-1-111111111111111-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11-1111111-1-11-11-11-11-111-1-111-1-1-11-1-111-1-111-11
χ1211111111111111-1-111111111111111-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1111111-1-11-1-11-11-11-1-111-1-111-11-1-11111-1-11-1
χ1311111111111111-1-111111111111111-1-1-1-11-11-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-111-1-11-1111-1-1-1-111-11-1-11111-1-1-11
χ1411111111111111-1-111111111111111-1-1-1-11-11-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-11-1-1-1-1-1-111-11-111-11-1-1-11111-1-1-11-1-111-1-1111-1
χ1511111111111111-1-111111111111111-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-111-111-1-11-1111-1-1-1-1111-111-1-1-1-1111-1
χ1611111111111111-1-111111111111111-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111-11-111-11-1-1-11111-1-11-111-1-111-1-1-11
χ172222222222222222-2-2-2-2222222-2-2-2-22-2-200000000000022-2-2-2-2000000002222002-2000000000000220000-2-2-2-20000000000000000
χ182222222222222222-2-2-2-2222222-2-2-2-22-2-200000000000022-2-2-2-200000000-2-2-2-2002-2000000000000-2-2000022220000000000000000
χ1922222222222222-2-2-2-2-2-2222222-2-2-2-2-222000000000000-2-222-2-20000000022-2-200-220000000000002-20000-2-2220000000000000000
χ2022222222222222-2-2-2-2-2-2222222-2-2-2-2-222000000000000-2-222-2-200000000-2-22200-22000000000000-22000022-2-20000000000000000
χ212222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000
χ222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122222222222-2-2-2-2-1-1-1-1-1-1111111110000-2-2-1-1-1-11111-1-1-1-1-1-100000000000000-2-21111000000
χ232222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-111-1-1-1-111111100000000000000-2-21111000000
χ242222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111110000-2-2-1-11111111111110000000000000022-1-1-1-1000000
χ252222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-2-2-22-22-222-2-222221111-1-1-1-1-1-1-1-1-1-10000-2-211-111111-1-111-11000000000000002-2-1-111000000
χ262222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-2-2-22-22-222-2-2-2-2-2-21111-1-11111111100002211-11-1-1-1-1-1-111-1100000000000000-2211-1-1000000
χ272222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-22222221111-1-1-1-1-1-1-1-1-1-10000-2-2111-1111111-1-11-100000000000000-2211-1-1000000
χ282222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-222-2-2-2-21111-1-111111111000022111-1-1-1-1-111-1-11-1000000000000002-2-1-111000000
χ2922222-2-22-2-222222222-2-22-2-2-2-222222-22-22222-2-2-2-200002222-2-200000000000000-2-2220000-2-2-2-22200000000000000000000000000
χ3022222-2-22-2-222222222-2-22-2-2-2-222222-22-2-2-2-2-2222200002222-2-200000000000000-2-2-2-200002222-2-200000000000000000000000000
χ3122222-2-22-2-2222222-2-2222-2-2-2-22-2-2-2-2-2-2200000000000022-2-22200000000000000-220000000000000022220000-2-2-2-2000000000000
χ3222222-2-22-2-2222222-2-2222-2-2-2-22-2-2-2-2-2-2200000000000022-2-22200000000000000-2200000000000000-2-2-2-200002222000000000000
χ3322222-2-22-2-22222-2-222-2-22-2-2-2-2222222-222-22-2-2-2220000-2-2-2-2-2-200000000000000222-20000-2-2222-200000000000000000000000000
χ3422222-2-22-2-22222-2-222-2-22-2-2-2-2222222-22-22-2222-2-20000-2-2-2-2-2-20000000000000022-22000022-2-2-2200000000000000000000000000
χ3522222-2-22-2-22222-2-2-2-2222-2-2-2-22-2-2-2-222-2000000000000-2-22222000000000000002-2000000000000002-22-20000-2-222000000000000
χ3622222-2-22-2-22222-2-2-2-2222-2-2-2-22-2-2-2-222-2000000000000-2-22222000000000000002-200000000000000-22-22000022-2-2000000000000
χ3722222-2-22-2-2-1-1-1-12222-2-2-11111-1-1-1-1-1-22-22222-2-2-2-20000-1-1-1-111i3i3i3i3−i3−i3−i3−i300000011-1-1i3i3−i3−i31111-1-10000000000000000i3−i3i3−i3000000
χ3822222-2-22-2-2-1-1-1-12222-2-2-11111-1-1-1-1-1-22-22222-2-2-2-20000-1-1-1-111−i3−i3−i3−i3i3i3i3i300000011-1-1−i3−i3i3i31111-1-10000000000000000−i3i3−i3i3000000
χ3922222-2-22-2-2-1-1-1-12222-2-2-11111-1-1-1-1-1-22-2-2-2-2-222220000-1-1-1-111i3i3i3i3−i3−i3−i3−i30000001111i3i3−i3−i3-1-1-1-1110000000000000000−i3i3−i3i3000000
χ4022222-2-22-2-2-1-1-1-12222-2-2-11111-1-1-1-1-1-22-2-2-2-2-222220000-1-1-1-111−i3−i3−i3−i3i3i3i3i30000001111−i3−i3i3i3-1-1-1-1110000000000000000i3−i3i3−i3000000
χ4122222-2-22-2-2-1-1-1-1-2-222-2-2-11111-1-1-1-1-12-222-22-2-2-2220000111111i3i3i3i3−i3−i3−i3−i3000000-1-1-11−i3−i3i3i311-1-1-110000000000000000i3−i3−i3i3000000
χ4222222-2-22-2-2-1-1-1-1-2-222-2-2-11111-1-1-1-1-12-222-22-2-2-2220000111111−i3−i3−i3−i3i3i3i3i3000000-1-1-11i3i3−i3−i311-1-1-110000000000000000−i3i3i3−i3000000
χ4322222-2-22-2-2-1-1-1-1-2-222-2-2-11111-1-1-1-1-12-22-22-2222-2-20000111111i3i3i3i3−i3−i3−i3−i3000000-1-11-1−i3−i3i3i3-1-1111-10000000000000000−i3i3i3−i3000000
χ4422222-2-22-2-2-1-1-1-1-2-222-2-2-11111-1-1-1-1-12-22-22-2222-2-20000111111−i3−i3−i3−i3i3i3i3i3000000-1-11-1i3i3−i3−i3-1-1111-10000000000000000i3−i3−i3i3000000
χ452222-22-2-22-22222002-22-2-222-2-2-222-2-2000020-2002-2000000002-20000000000220000020000002-20-20-220-20002-22-200000000000000
χ462222-22-2-22-22222002-22-2-222-2-2-222-2-2000020-2002-2000000002-20000000000-2-20000020000002-20-202-202000-22-2200000000000000
χ472222-22-2-22-22222002-22-2-222-2-2-222-2-20000-20200-22000000002-200000000002200000-2000000-22020-2-2020002-2-2200000000000000
χ482222-22-2-22-22222002-22-2-222-2-2-222-2-20000-20200-22000000002-20000000000-2-200000-2000000-22020220-2000-222-200000000000000
χ492222-22-2-22-2222200-22-22-222-2-2-2-2-22200020-202-20000000000-2200000000002200002000002-200-200-2020-200-22002-2000000000000
χ502222-22-2-22-2222200-22-22-222-2-2-2-2-22200020-202-20000000000-220000000000-2-200002000002-200-20020-202002-200-22000000000000
χ512222-22-2-22-2222200-22-22-222-2-2-2-2-222000-2020-220000000000-220000000000220000-200000-2200200-20-20200-2200-22000000000000
χ522222-22-2-22-2222200-22-22-222-2-2-2-2-222000-2020-220000000000-220000000000-2-20000-200000-22002002020-2002-2002-2000000000000
χ532222-2-22-2-222222002-2-22-2-2-222-222-2-2000020-200-2200000000-22000000002200000002000000-220-2-20020-22-20000-22000000000000
χ542222-2-22-2-222222002-2-22-2-2-222-222-2-2000020-200-2200000000-2200000000-2-200000002000000-220-2200-202-2200002-2000000000000
χ552222-2-22-2-222222002-2-22-2-2-222-222-2-20000-202002-200000000-2200000000220000000-20000002-202-200-2022-200002-2000000000000
χ562222-2-22-2-222222002-2-22-2-2-222-222-2-20000-202002-200000000-2200000000-2-20000000-20000002-20220020-2-220000-22000000000000
χ572222-2-22-2-22222200-222-2-2-2-222-2-2-22200020-20-2200000000002-20000000022000000200000-2200-20-2020-20-2200-2200000000000000
χ582222-2-22-2-22222200-222-2-2-2-222-2-2-22200020-20-2200000000002-200000000-2-2000000200000-2200-2020-20202-2002-200000000000000
χ592222-2-22-2-22222200-222-2-2-2-222-2-2-222000-20202-200000000002-20000000022000000-2000002-20020-20-2020-22002-200000000000000
χ602222-2-22-2-22222200-222-2-2-2-222-2-2-222000-20202-200000000002-200000000-2-2000000-2000002-200202020-202-200-2200000000000000
χ614444444444-2-2-2-244-4-4-4-4-2-2-2-2-2-222224-4-4000000000000-2-2222200000000000000-2200000000000000000000000000000000000000
χ624444444444-2-2-2-2-4-4-4-4-4-4-2-2-2-2-2-22222-44400000000000022-2-222000000000000002-200000000000000000000000000000000000000
χ6344444-4-44-4-4-2-2-2-244-4-444-22222-22222-4-44000000000000-2-222-2-2000000000000002-200000000000000000000000000000000000000
χ6444444-4-44-4-4-2-2-2-2-4-4-4-444-22222-2222244-400000000000022-2-2-2-200000000000000-2200000000000000000000000000000000000000
χ654444-44-4-44-4-2-2-2-2004-44-42-2-2222-2-222000040-4004-400000000-2200000000000000000-2000000-220200000000000000000000000000
χ664444-44-4-44-4-2-2-2-2004-44-42-2-2222-2-2220000-40400-4400000000-220000000000000000020000002-20-200000000000000000000000000
χ674444-44-4-44-4-2-2-2-200-44-442-2-222222-2-200040-404-400000000002-20000000000000000-200000-22002000000000000000000000000000
χ684444-44-4-44-4-2-2-2-200-44-442-2-222222-2-2000-4040-4400000000002-200000000000000002000002-200-2000000000000000000000000000
χ694444-4-44-4-44-2-2-2-2004-4-44222-2-22-2-222000040-400-44000000002-200000000000000000-20000002-20200000000000000000000000000
χ704444-4-44-4-44-2-2-2-2004-4-44222-2-22-2-2220000-404004-4000000002-2000000000000000002000000-220-200000000000000000000000000
χ714444-4-44-4-44-2-2-2-200-444-4222-2-2222-2-200040-40-440000000000-220000000000000000-2000002-2002000000000000000000000000000
χ724444-4-44-4-44-2-2-2-200-444-4222-2-2222-2-2000-40404-40000000000-220000000000000000200000-2200-2000000000000000000000000000
χ7344-4-4-4004004-4-444-40000-40000400000000000000022-2-24-4000022-2-222-2-200002-200002-22-200000000000000000000000000000000
χ7444-4-4-4004004-4-444-40000-400004000000000000000-2-2224-40000-2-222-2-2220000-220000-22-2200000000000000000000000000000000
χ7544-4-4-4004004-4-44-440000-40000400000000000000022-2-2-44000022-2-222-2-20000-220000-22-2200000000000000000000000000000000
χ7644-4-4-4004004-4-44-440000-400004000000000000000-2-222-440000-2-222-2-22200002-200002-22-200000000000000000000000000000000
χ7744-4-4-400400-222-24-4000020000-22i3−2i32i3−2i30000000000022-2-2-222i3−2i300−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300002-20000−1+i31−i3−1−i31+i300000000000000000000000000000000
χ7844-4-4-400400-222-24-4000020000-22i3−2i32i3−2i300000000000-2-222-222i3−2i3001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i30000-2200001−i3−1+i31+i3−1−i300000000000000000000000000000000
χ7944-4-4-400400-222-24-4000020000-2−2i32i3−2i32i30000000000022-2-2-22−2i32i300−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300002-20000−1−i31+i3−1+i31−i300000000000000000000000000000000
χ8044-4-4-400400-222-24-4000020000-2−2i32i3−2i32i300000000000-2-222-22−2i32i3001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30000-2200001+i3−1−i31−i3−1+i300000000000000000000000000000000
χ8144-4-4-400400-222-2-44000020000-22i3−2i32i3−2i30000000000022-2-22-2−2i32i300−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30000-2200001−i3−1+i31+i3−1−i300000000000000000000000000000000
χ8244-4-4-400400-222-2-44000020000-22i3−2i32i3−2i300000000000-2-2222-2−2i32i3001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300002-20000−1+i31−i3−1−i31+i300000000000000000000000000000000
χ8344-4-4-400400-222-2-44000020000-2−2i32i3−2i32i30000000000022-2-22-22i3−2i300−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30000-2200001+i3−1−i31−i3−1+i300000000000000000000000000000000
χ8444-4-4-400400-222-2-44000020000-2−2i32i3−2i32i300000000000-2-2222-22i3−2i3001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300002-20000−1−i31+i3−1+i31−i300000000000000000000000000000000
χ854-44-400-400444-4-40000000004-400000000000000002-22-20000002-22-22-22-24-4000000000000000000000000000000000000002-20000
χ864-44-400-400444-4-40000000004-400000000000000002-22-20000002-22-22-22-2-4400000000000000000000000000000000000000-220000
χ874-44-400-400444-4-40000000004-40000000000000000-22-22000000-22-22-22-224-400000000000000000000000000000000000000-220000
χ884-44-400-400444-4-40000000004-40000000000000000-22-22000000-22-22-22-22-44000000000000000000000000000000000000002-20000
χ894-4-440-400404-44-400000004-40000000000000000002-2-220000002-2-222-2-22004-4000000000000000000000000000000000000002-200
χ904-4-440-400404-44-400000004-40000000000000000002-2-220000002-2-222-2-2200-4400000000000000000000000000000000000000-2200
χ914-4-440-400404-44-400000004-4000000000000000000-222-2000000-222-2-222-2004-400000000000000000000000000000000000000-2200
χ924-4-440-400404-44-400000004-4000000000000000000-222-2000000-222-2-222-200-44000000000000000000000000000000000000002-200
χ9388-8-8800-8008-8-8800000080000-80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8800-800-444-4000000-4000044i3−4i3−4i34i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8800-800-444-4000000-400004−4i34i34i3−4i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800800-888-8-8000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800800-8-4-4440000000004-4000000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ988-88-800800-8-4-4440000000004-400000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ998-88-800-8008-4-444000000000-4400000000000000004-44-4000000-22-22-22-220000000000000000000000000000000000000000000000
χ1008-88-800-8008-4-444000000000-440000000000000000-44-440000002-22-22-22-20000000000000000000000000000000000000000000000
χ1018-8-880800-808-88-80000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-880800-80-44-4400000004-400000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ1038-8-880800-80-44-4400000004-40000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ1048-8-880-80080-44-440000000-440000000000000000004-4-44000000-222-2-222-20000000000000000000000000000000000000000000000
χ1058-8-880-80080-44-440000000-44000000000000000000-444-40000002-2-222-2-220000000000000000000000000000000000000000000000

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