Finite Group Databasebeta

← Group #72252303

Character table — Group #72252303

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888882424242448484848484896969696
order122222222236662222224444666666666666666666222222222444444444444444466666666666666666612121212121212121212121212121212121212121212121212121212121212121212121244442244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1
χ911111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-11-11-11-111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-1
χ1011111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-11-11-11-111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11-1111-1-1-1-1-1111-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11-1111-1-1-1-1-1111-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-1
χ1311111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ1722222222222222222222-2-2-2-22222222222222222222-2-2220000-2-2-2-200000000000022-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-2-2-20000222200000000000022-2-2-2-2-2-2-2-200000000-2-2-2-22222222200000000000000000000000000000000000000
χ1922222222222222-2-222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2222-20000-2-222000000000000-2-2222222-2-200000000-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000
χ2022222222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-222-22000022-2-2000000000000-2-22222-2-22200000000-2-2-2-22222-2-2-2-200000000000000000000000000000000000000
χ212222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ222222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000
χ232222222222-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2220000-2-2-2-2000000000000-1-11111-1-1-1-1i3−i3i3−i3i3−i3i3−i3111111111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000000000
χ242222222222-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2220000-2-2-2-2000000000000-1-11111-1-1-1-1−i3i3−i3i3−i3i3−i3i3111111111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000000000
χ252222222222-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-111111111222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000
χ262222222222-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-111111111222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ272222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111112-2-2-2-200002222000000000000-1-111111111i3−i3i3−i3−i3i3−i3i31111-1-1-1-1-1-1-1-1i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000000000
χ282222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111112-2-2-2-200002222000000000000-1-111111111−i3i3−i3i3i3−i3i3−i31111-1-1-1-1-1-1-1-1−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000000000
χ292222222222-1-1-1-1-2-222-2-22222-1-1-1-1-1-11111-1-1-1-11111-2-2-22-22-22-222-2-2222-2-2-2222-2-2-2111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111100000000000000
χ302222222222-1-1-1-1-2-222-2-22222-1-1-1-1-1-11111-1-1-1-11111-2-2-22-2-22-2222-2-2-2-2-2222-2-2-2222111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-100000000000000
χ312222222222-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111-2222-20000-2-22200000000000011-1-1-1-1-1-111i3−i3−i3i3i3−i3−i3i311111111-1-1-1-1i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i300000000000000
χ322222222222-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111-2222-20000-2-22200000000000011-1-1-1-1-1-111−i3i3i3−i3−i3i3i3−i311111111-1-1-1-1−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i300000000000000
χ332222222222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-111111111-1-1-1-1-2-2-2-222-2-22-2-222222-2-2-2-2-2-222211111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-100000000000000
χ342222222222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22-222-2-2-222-2-2-2222222-2-2-211111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000
χ352222222222-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-222-22000022-2-200000000000011-1-1-1-111-1-1i3−i3−i3i3−i3i3i3−i31111-1-1-1-11111i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i300000000000000
χ362222222222-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-222-22000022-2-200000000000011-1-1-1-111-1-1−i3i3i3−i3i3−i3−i3i31111-1-1-1-11111−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i300000000000000
χ3722222-2-22-2-2222200002222-2-222-2-2-2-20000000022220000-20220002-20002-2-22-2-200000000000-2-20022220022-2-2000022-2-20000002-2-22-2-22-2-22-2-200000000000000000000
χ3822222-2-22-2-2222200002222-2-222-2-2-2-20000000022220000-20-2-20002-2000-222-22200000000000-2-200-2-2-2-20022-2-2000022-2-2000000-222-222-222-22200000000000000000000
χ3922222-2-22-2-22222000022-2-22222-2-2-2-20000000022220000-2200200-222-2-20000002-2-200000000-2-222000022-2-2220000-2-2222-2-22-2-20000000000002-2-22-2-200000000000000
χ4022222-2-22-2-22222000022-2-22222-2-2-2-20000000022220000-2-200-200-22-222000000-22200000000-2-2-2-20000-2-2-2-2220000-2-222-222-222000000000000-222-22200000000000000
χ4122222-2-22-2-222220000-2-222-2-222-2-2-2-200000000-2-2-2-20000202-2000-220002-2-2-22200000000000220022-2-20022-2-20000-2-2220000002-2-22-2-2-222-22200000000000000000000
χ4222222-2-22-2-222220000-2-222-2-222-2-2-2-200000000-2-2-2-2000020-22000-22000-2222-2-2000000000002200-2-2220022-2-20000-2-222000000-222-2222-2-22-2-200000000000000000000
χ4322222-2-22-2-222220000-2-2-2-22222-2-2-2-200000000-2-2-2-200002200-2002-22-2-2000000-2220000000022220000-2-2-2-222000022-2-22-2-22-2-2000000000000-222-22200000000000000
χ4422222-2-22-2-222220000-2-2-2-22222-2-2-2-200000000-2-2-2-200002-2002002-2-2220000002-2-20000000022-2-2000022-2-222000022-2-2-222-2220000000000002-2-22-2-200000000000000
χ4522222-2-22-2-2-1-1-1-100002222-2-2-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-10000-20220002-20002-2-22-2-2000i3−i3i3i3−i3−i3i3−i311i3−i3-1-1-1-1i3−i3-1-111i3i3−i3−i3-1-111i3−i3−i3−i3i3i3-111-111-111-111i3−i3−i3−i3i3i300000000000000
χ4622222-2-22-2-2-1-1-1-100002222-2-2-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-10000-20-2-20002-2000-222-222000i3−i3i3i3−i3−i3i3−i311−i3i31111−i3i3-1-111i3i3−i3−i3-1-111−i3i3i3i3−i3−i31-1-11-1-11-1-11-1-1−i3i3i3i3−i3−i300000000000000
χ4722222-2-22-2-2-1-1-1-100002222-2-2-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-10000-20220002-20002-2-22-2-2000−i3i3−i3−i3i3i3−i3i311−i3i3-1-1-1-1−i3i3-1-111−i3−i3i3i3-1-111−i3i3i3i3−i3−i3-111-111-111-111−i3i3i3i3−i3−i300000000000000
χ4822222-2-22-2-2-1-1-1-100002222-2-2-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-10000-20-2-20002-2000-222-222000−i3i3−i3−i3i3i3−i3i311i3−i31111i3−i3-1-111−i3−i3i3i3-1-111i3−i3−i3−i3i3i31-1-11-1-11-1-11-1-1i3−i3−i3−i3i3i300000000000000
χ4922222-2-22-2-2-1-1-1-1000022-2-222-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-10000-2200200-222-2-20000002-2-2i3−i3−i3−i3i3i3i3−i311-1-1i3−i3i3−i3-1-111-1-1−i3−i3i3i311-1-1-111-111i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3-111-11100000000000000
χ5022222-2-22-2-2-1-1-1-1000022-2-222-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-10000-2-200-200-22-222000000-222i3−i3−i3−i3i3i3i3−i31111−i3i3−i3i31111-1-1−i3−i3i3i311-1-11-1-11-1-1−i3i3i3i3−i3−i3−i3i3i3i3−i3−i31-1-11-1-100000000000000
χ5122222-2-22-2-2-1-1-1-1000022-2-222-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-10000-2200200-222-2-20000002-2-2−i3i3i3i3−i3−i3−i3i311-1-1−i3i3−i3i3-1-111-1-1i3i3−i3−i311-1-1-111-111−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3-111-11100000000000000
χ5222222-2-22-2-2-1-1-1-1000022-2-222-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-10000-2-200-200-22-222000000-222−i3i3i3i3−i3−i3−i3i31111i3−i3i3−i31111-1-1i3i3−i3−i311-1-11-1-11-1-1i3−i3−i3−i3i3i3i3−i3−i3−i3i3i31-1-11-1-100000000000000
χ5322222-2-22-2-2-1-1-1-10000-2-222-2-2-1-11111i3i3−i3−i3−i3−i3i3i311110000202-2000-220002-2-2-222000i3−i3i3i3−i3−i3−i3i3-1-1i3−i3-1-111−i3i3-1-111−i3−i3i3i311-1-1i3−i3−i3−i3i3i3-111-1111-1-11-1-1−i3i3i3i3−i3−i300000000000000
χ5422222-2-22-2-2-1-1-1-10000-2-222-2-2-1-11111i3i3−i3−i3−i3−i3i3i31111000020-22000-22000-2222-2-2000i3−i3i3i3−i3−i3−i3i3-1-1−i3i311-1-1i3−i3-1-111−i3−i3i3i311-1-1−i3i3i3i3−i3−i31-1-11-1-1-111-111i3−i3−i3−i3i3i300000000000000
χ5522222-2-22-2-2-1-1-1-10000-2-222-2-2-1-11111−i3−i3i3i3i3i3−i3−i311110000202-2000-220002-2-2-222000−i3i3−i3−i3i3i3i3−i3-1-1−i3i3-1-111i3−i3-1-111i3i3−i3−i311-1-1−i3i3i3i3−i3−i3-111-1111-1-11-1-1i3−i3−i3−i3i3i300000000000000
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χ12288-8-800800-8-4-444000000000000004-44i3−4i3−4i34i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-800800-8-4-444000000000000004-4−4i34i34i3−4i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-800-8008-4-4448-8000000000000-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12588-8-800-8008-4-444-88000000000000-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-80800-808-88-8000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-80800-80-44-440000000000004-40000004i3−4i3−4i34i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-80800-80-44-440000000000004-4000000−4i34i34i3−4i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-80-80080-44-44008-800000000-44000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-80-80080-44-4400-8800000000-440000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88800-8008-8-880000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88800-800-444-400000000004-40000000000004i3−4i3−4i34i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88800-800-444-400000000004-4000000000000−4i34i34i3−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-800800-444-400008-80000-44000000000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-800800-444-40000-880000-440000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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