Finite Group Databasebeta

← Group #13161153

Character table — Group #13161153

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222222244444444444444444444444444888888888888888888888888888888888881212121212121212121212121212121212121212181824242424242424243636363636727272108108108108
order122233333446666666666666663333666666666666121212121212121212124121212121212121212121212121212121212121212121212121212121212121212124488242424242424242424242424242424244412121212121212124121212122662288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000002200000000-222-2-20000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2000000002-2-2220000000
χ1122222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022000000002-1-1-1-12-1-10000
χ1222222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-200000000-21111-2110000
χ1322222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000022000000002-1-1-1-1-2110000
χ1422222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-200000000-211112-1-10000
χ1522222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2000000000−i3i311111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000000000000000000002200000000-2-1-1110−i3i30000
χ1622222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2000000000−i3i311111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000000000000000-2-200000000211-1-10i3−i30000
χ1722222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2000000000i3−i311111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000002200000000-2-1-1110i3−i30000
χ1822222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2000000000i3−i311111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000000000000000-2-200000000211-1-10−i3i30000
χ1922222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100-2-2111111000000000000
χ2122222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2111111-2-222-1-1-1-1-1-1-2-2111111-2-211111122-2-2-2-2-2-21111111111110022-1-1-1-1-1-1000000000000
χ2222222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2111111-2-222-1-1-1-1-1-1-2-2111111-2-2111111-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2111111000000000000
χ232222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-2111111110011-2-21111000000000000
χ252222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-211-2-21111-2-2-1-122-1-1-1-111-2-2111111-2-2111122-2-21111-2-2-2-21111111100-1-122-1-1-1-1000000000000
χ262222-12-1-1222-12-1-1-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-211-2-21111-2-2-1-122-1-1-1-111-2-2111111-2-21111-2-222-1-1-1-12222-1-1-1-1-1-1-1-10011-2-21111000000000000
χ272222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-100-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-211111111-2-2-2-21111001111-2-211000000000000
χ292222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-21111-2-211-2-2-1-1-1-122-1-11111-2-2111111-2-21122-2-211111111-2-2-2-2111100-1-1-1-122-1-1000000000000
χ302222-1-12-1222-1-12-1-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-21111-2-211-2-2-1-1-1-122-1-11111-2-2111111-2-211-2-222-1-1-1-1-1-1-1-12222-1-1-1-1001111-2-211000000000000
χ312222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111111111-2-2-2-200111111-2-2000000000000
χ332222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-2111111-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-222-2-2111111111111-2-2-2-200-1-1-1-1-1-122000000000000
χ342222-1-1-12222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-2111111-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1222200111111-2-2000000000000
χ3522-2-2222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2000000000002-22-22-22-200000000000000002i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ3622-2-2222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2000000000002-22-22-22-20000000000000000−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ3722-2-222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22222200000000000-22-22-22-220000000000000000000000000000000000000000000000000000002-200
χ3822-2-222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22222200000000000-22-22-22-22000000000000000000000000000000000000000000000000000000-2200
χ3922-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111000−i3i3−i3i3−i3i3002-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32i−2i00000033−3−333−3−333−3−3002i−2i−ii−ii−ii000000000000
χ4022-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111000−i3i3−i3i3−i3i3002-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3−2i2i000000−3−333−3−333−3−33300−2i2ii−ii−ii−i000000000000
χ4122-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111000i3−i3i3−i3i3−i3002-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32i−2i000000−3−333−3−333−3−333002i−2i−ii−ii−ii000000000000
χ4222-2-22-1-1-122-2-21112-1-1-12-2111-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2111000i3−i3i3−i3i3−i3002-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3−2i2i00000033−3−333−3−333−3−300−2i2ii−ii−ii−i000000000000
χ4322-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-111-2-21111-12-1-1-12-1-12-21-2110−i3i300−i3i3i3−i300-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i32i−2i0033−3−3000033−3−3−3−33300−ii2i−2i−ii−ii000000000000
χ4422-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-111-2-21111-12-1-1-12-1-12-21-2110−i3i300−i3i3i3−i300-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−2i2i00−3−3330000−3−33333−3−300i−i−2i2ii−ii−i000000000000
χ4522-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-111-2-21111-12-1-1-12-1-12-21-2110i3−i300i3−i3−i3i300-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i32i−2i00−3−3330000−3−33333−3−300−ii2i−2i−ii−ii000000000000
χ4622-2-2-12-1-122-21-211-12-1-121-211-2-2-12-1-111-2-21111-12-1-1-12-1-12-21-2110i3−i300i3−i3−i3i300-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3−2i2i0033−3−3000033−3−3−3−33300i−i−2i2ii−ii−i000000000000
χ4722-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-11111-2-211-1-12-1-1-12-12-211-210−i3i3i3−i300−i3i300-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i32i−2i0033−3−3−3−333000033−3−300−ii−ii2i−2i−ii000000000000
χ4822-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-11111-2-211-1-12-1-1-12-12-211-210−i3i3i3−i300−i3i300-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−2i2i00−3−33333−3−30000−3−33300i−ii−i−2i2ii−i000000000000
χ4922-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-11111-2-211-1-12-1-1-12-12-211-210i3−i3−i3i300i3−i300-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i32i−2i00−3−33333−3−30000−3−33300−ii−ii2i−2i−ii000000000000
χ5022-2-2-1-12-122-211-21-1-12-1211-21-2-2-1-12-11111-2-211-1-12-1-1-12-12-211-210i3−i3−i3i300i3−i300-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3−2i2i0033−3−3−3−333000033−3−300i−ii−i−2i2ii−i000000000000
χ5122-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12111111-2-2-1-1-12-1-1-122-2111-20−i3i3−i3i3i3−i30000-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3002i−2i0033−3−333−3−3−3−333000000−ii−ii−ii2i−2i000000000000
χ5222-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12111111-2-2-1-1-12-1-1-122-2111-20−i3i3−i3i3i3−i30000-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−2i2i00−3−333−3−33333−3−3000000i−ii−ii−i−2i2i000000000000
χ5322-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12111111-2-2-1-1-12-1-1-122-2111-20i3−i3i3−i3−i3i30000-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3002i−2i00−3−333−3−33333−3−3000000−ii−ii−ii2i−2i000000000000
χ5422-2-2-1-1-1222-2111-2-1-1-122111-2-2-2-1-1-12111111-2-2-1-1-12-1-1-122-2111-20i3−i3i3−i3−i3i30000-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300−2i2i0033−3−333−3−3−3−333000000i−ii−ii−i−2i2i000000000000
χ552-22-222222002222-2-2-2-2-2-2-2-2-22-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−22−22i−2i0000000002i−2i0000000−i2i2
χ562-22-222222002222-2-2-2-2-2-2-2-2-22-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−22−2−2i2i000000000−2i2i0000000i2−i2
χ572-22-222222002222-2-2-2-2-2-2-2-2-22-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−22−222i−2i0000000002i−2i0000000i2−i2
χ582-22-222222002222-2-2-2-2-2-2-2-2-22-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−22−22−2i2i000000000−2i2i0000000−i2i2
χ5944444-2-2-24-4-44-2-2-24-2-2-244-2-2-2444-2-2-244-2-2-2-2-2-24-2-2-2-4222-4-4-422200000000000-4-42222220000000000000000000000000000000000000000000000000000000000
χ6044444-2-2-2-2444-2-2-24-2-2-2-24-2-2-2-2-2-2111-2-2111111-21114-2-2-2-2-24-2-2-2444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000000000
χ6144444-2-2-2-2444-2-2-24-2-2-2-24-2-2-2-2-2-2111-2-2111111-21114-2-2-2-2-24-2-2-2-4-4-422222222-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).