Finite Group Databasebeta

← Group #10800216

Character table — Group #10800216

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111111111112222222222222222222222222222222244444444444444444444444444448888888888888888888888881212121212121212121212121212121212121212121212121212121212121212
order122244444444444422223444444444444666121212121212121212121212244466666612121212121212121212121212121212121222444444666612121212121212121212121244444444444444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ201111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ211111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-11-1-1-111111-1-111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ221111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-11-1-1-111111-1-111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ231111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1111-1-1-1-1-111-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ241111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1111-1-1-1-1-111-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ251111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-11-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-11-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ291111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11-11-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ301111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11-11-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ311111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-11-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ321111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-11-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3322222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3422222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ35222222222222222222-2-22-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ36222222222222222222-2-2-1-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-11111111111-1-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ37222222222222222222-2-2-1-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-11111111111-1-111-1-111-1-100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ382222222222222222-2-222-1222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-11111111111112-2222-2-2-2-1-111-1-1-1-1-1-111111100000000000000000000000000000000
χ392222222222222222-2-222-1222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-1111111111111-22-2-2-222211-1-1111111-1-1-1-1-1-100000000000000000000000000000000
χ402222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ412222222222222222-2-2-2-2-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111-1-1111111-1-111-1-111-1-11100000000−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ422222222222222222-2-2-2-2-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111-1-1111111-1-111-1-111-1-11100000000i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-22-2-22222222-2-2-2-222-2-222-2-2-2-222-2-200000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-22222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-11111-1-111-1-11111-1-11100000000−i3i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-22222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-11111-1-111-1-11111-1-11100000000i3−i3i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-222-2-2-12222-2-222-2-2-2-2-1-1-1-1-1-1-111111111-222-211-1-111-1-1-1-111-1-1-1-1-1-1111111222-2-22-2-2-1-1-1-1-1-11111-1-1111100000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-222-2-2-12222-2-222-2-2-2-2-1-1-1-1-1-1-111111111-222-211-1-111-1-1-1-111-1-1-1-1-1-1111111-2-2-222-222111111-1-1-1-111-1-1-1-100000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-222-2-222222222222-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2-22222-2-22222-2-22200000000000000000000000000000000000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2-2-222-1-2-2-2-222-2-22222-1-1-1-1-1-1-111111111-222-2-1-111111111-1-1-1-111-1-1-1-111-1-100000000−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2-2-222-1-2-2-2-222-2-22222-1-1-1-1-1-1-111111111-222-2-1-111111111-1-1-1-111-1-1-1-111-1-100000000i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ5122222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-1-1111111112-2-221111-1-1-1-1-1-111111111-1-1-1-1-1-12-22-2-2-222-1-111-1-1111111-1-1-1-100000000000000000000000000000000
χ5222222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-1-1111111112-2-221111-1-1-1-1-1-111111111-1-1-1-1-1-1-22-2222-2-211-1-111-1-1-1-1-1-1111100000000000000000000000000000000
χ532222-2-2-2-22222-2-2-2-222222-2-222-2-2-2-222-2-2222-2-2-2-22222-2-2-2-22-22-2222222-2-222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ542222-2-2-2-22222-2-2-2-22222-1-2-222-2-2-2-222-2-2-1-1-11111-1-1-1-111112-22-2-1-1-1-1-1-111-1-1111111-1-1-1-1111100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000000000
χ552222-2-2-2-22222-2-2-2-22222-1-2-222-2-2-2-222-2-2-1-1-11111-1-1-1-111112-22-2-1-1-1-1-1-111-1-1111111-1-1-1-1111100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000
χ562222-2-2-2-22222-2-2-2-222-2-2-122-2-222-2-222-2-2-1-1-11111-1-1-1-11111-22-2211-1-111-1-111-1-1-1-11111-1-1-1-1112-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000000000
χ572222-2-2-2-22222-2-2-2-222-2-2-122-2-222-2-222-2-2-1-1-11111-1-1-1-11111-22-2211-1-111-1-111-1-1-1-11111-1-1-1-111-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000000000
χ582222-2-2-2-22222-2-2-2-2-2-2222-2-222-2-222-2-222222-2-2-2-22222-2-2-2-2-22-2222-2-2-2-2-2-222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ592222-2-2-2-22222-2-2-2-2-2-222-1-2-222-2-222-2-222-1-1-11111-1-1-1-11111-22-22-1-1111111-1-111-1-1-1-11111-1-1-1-100000000−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i300000000000000000000000000000000
χ602222-2-2-2-22222-2-2-2-2-2-222-1-2-222-2-222-2-222-1-1-11111-1-1-1-11111-22-22-1-1111111-1-111-1-1-1-11111-1-1-1-100000000i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i300000000000000000000000000000000
χ612222-2-2-2-22222-2-2-2-2-2-2-2-2-122-2-22222-2-222-1-1-11111-1-1-1-111112-22-21111-1-1-1-111-1-111-1-1-1-11111-1-122-22-2-2-22-1-1-1-111-1-1111111-1-100000000000000000000000000000000
χ622222-2-2-2-22222-2-2-2-2-2-2-2-2-122-2-22222-2-222-1-1-11111-1-1-1-111112-22-21111-1-1-1-111-1-111-1-1-1-11111-1-1-2-22-2222-21111-1-111-1-1-1-1-1-11100000000000000000000000000000000
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χ982-22-2−2i2i−2i2i2i−2i2i−2i-22-22002-22-222i−2i−2i2i000000-22-2−2i2i−2i2i2i−2i2i−2i-22-2200002-20000-222i−2i−2i2i0000000000000000000000000000000000000000000000000000-22−2i2i2i−2i2-200000000
χ992-22-2−2i2i−2i2i2i−2i2i−2i-22-2200-2222-2−2i2i2i−2i000000-22-2−2i2i−2i2i2i−2i2i−2i-22-220000-2200002-2−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000002-22i−2i−2i2i-22
χ1002-22-2−2i2i−2i2i2i−2i2i−2i-22-2200-2222-2−2i2i2i−2i000000-22-2−2i2i−2i2i2i−2i2i−2i-22-220000-2200002-2−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000-22−2i2i2i−2i2-2
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χ1204-44-4−4i4i−4i4i−4i4i−4i4i4-44-400-44-2-444i−4i4i−4i0000002-222i−2i2i−2i2i−2i2i−2i-22-2200002-200002-2−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
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χ1324-4-44−4i4i4i−4i-444-4−4i4i4i−4i0000-200000000000022-22i−2i−2i2i2-2-222i−2i−2i2i000000002i3−2i3000000−232300−2i32i30023−230000000000000000000000000000000000000000000000000000000000

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