Finite Group Databasebeta

← Group #72230089

Character table — Group #72230089

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222444444444444444444445555888888888888888888888888888888881010101010101010101018181818202020202020202020202020363636363636363660606060606060606060606060606060606060606060606090909090
order122222336666663566666666666101010101010102222151515153030303030303030303030303030303030303030303030303030303022666666662222666666666666101010101010101044444444121212121212121212121212121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1
χ71111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111
χ81111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111
χ91111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-1
χ111111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111
χ121111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1-1-111
χ131111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111
χ141111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111
χ151111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1
χ161111-1-11111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1
χ172222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222222222222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1000022-1-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-10000
χ182222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1222222222222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1000022-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000
χ192222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-12222222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2110000-2-211111111110000000000002i2i−2i−2i00000000−i−i−i−iiiii0000
χ202222222-1222-1-1-1-1222-1-1-1-1-1-1-1-1-12222222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2110000-2-21111111111000000000000−2i−2i2i2i00000000iiii−i−i−i−i0000
χ21222222-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1220000-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000
χ22222222-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1220000-1-122-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000
χ23222222-12-1-1-1222-12-1-122-1-1-1-1-1-1-12222222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211-2-2000011-2-211111111000000002i2i−2i−2i0000−i−i−i−iiiii000000000000
χ24222222-12-1-1-1222-12-1-122-1-1-1-1-1-1-12222222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211-2-2000011-2-21111111100000000−2i−2i2i2i0000iiii−i−i−i−i000000000000
χ252222-2-22-1222-1-1-1-12-2-211-1-1-11111222-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-222-1-122-1-10000-2-211-1-1-1-111110000000000002-22-200000000-1-111-1-1110000
χ262222-2-22-1222-1-1-1-12-2-211-1-1-11111222-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-222-1-122-1-10000-2-211-1-1-1-11111000000000000-22-220000000011-1-111-1-10000
χ272222-2-22-1222-1-1-1-12-2-211-1-1-11111222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-211-2-211000022-1-11111-1-1-1-10000000000002i−2i−2i2i00000000−i−iiiii−i−i0000
χ282222-2-22-1222-1-1-1-12-2-211-1-1-11111222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-211-2-211000022-1-11111-1-1-1-1000000000000−2i2i2i−2i00000000ii−i−i−i−iii0000
χ292222-2-2-12-1-1-1222-1211-2-2-1-1-11111222-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-2-2-1-122-1-122000011-2-2-1-1-1-11111000000002-22-20000-1-111-1-111000000000000
χ302222-2-2-12-1-1-1222-1211-2-2-1-1-11111222-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-2-2-1-122-1-122000011-2-2-1-1-1-1111100000000-22-22000011-1-111-1-1000000000000
χ312222-2-2-12-1-1-1222-1211-2-2-1-1-11111222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111112211-2-211-2-20000-1-1221111-1-1-1-1000000002i−2i−2i2i0000−i−iiiii−i−i000000000000
χ322222-2-2-12-1-1-1222-1211-2-2-1-1-11111222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111112211-2-211-2-20000-1-1221111-1-1-1-100000000−2i2i2i−2i0000ii−i−i−i−iii000000000000
χ3322-2-200222-2-22-2-22200002-2-200002-2-2000022-2-222222-2-22-2-222-2-2-2-20000000000000000002-22-22-22-2002-2000022-2-20000000022-2-2000000000000000000000000002-2
χ3422-2-200222-2-22-2-22200002-2-200002-2-2000022-2-222222-2-22-2-222-2-2-2-20000000000000000002-22-22-22-200-22000022-2-200000000-2-22200000000000000000000000000-22
χ3522-2-200222-2-22-2-22200002-2-200002-2-20000-2-22222222-2-22-2-222-2-2-2-2000000000000000000-22-22-22-22002-20000-2-2220000000022-2-200000000000000000000000000-22
χ3622-2-200222-2-22-2-22200002-2-200002-2-20000-2-22222222-2-22-2-222-2-2-2-2000000000000000000-22-22-22-2200-220000-2-22200000000-2-222000000000000000000000000002-2
χ372-22-20022-22-2-22-2220000-22-20000-22-200002-22-22222-22-2-22-2-2-222-2-20000000000000000002-2-22-222-22-20000002-22-2000022-2-200000000000000000000000000002-200
χ382-22-20022-22-2-22-2220000-22-20000-22-200002-22-22222-22-2-22-2-2-222-2-20000000000000000002-2-22-222-2-220000002-22-20000-2-2220000000000000000000000000000-2200
χ392-22-20022-22-2-22-2220000-22-20000-22-20000-22-222222-22-2-22-2-2-222-2-2000000000000000000-222-22-2-222-2000000-22-22000022-2-20000000000000000000000000000-2200
χ402-22-20022-22-2-22-2220000-22-20000-22-20000-22-222222-22-2-22-2-2-222-2-2000000000000000000-222-22-2-22-22000000-22-220000-2-22200000000000000000000000000002-200
χ412-2-222-222-2-22-2-22222-22-2-2-2222-2-2-2-2222-2-22-2-222222-2-22-2-22-2-2-2-22222-2-222-2-22222-2-2-2-22-222-2-2-2-22200002-22-22-2-2222-2-2000000000000000000000000000000000000
χ422-2-222-222-2-22-2-22222-22-2-2-2222-2-2-2-2222-2-2-222-22222-2-22-2-22-2-2-2-22222-2-222-2-22222-2-2-2-2-22-2-22222-2-20000-22-22-222-2-2-222000000000000000000000000000000000000
χ432-2-222-22-1-2-2211-1-122-2-1111-1-1-111-2-2222-2-22-2-222-1-1-1-2-2211-11111-1-122-2-2-1-111-1-1-1-111112-22211-2-2-1-100002-2-11-111-1-1-111000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ442-2-222-22-1-2-2211-1-122-2-1111-1-1-111-2-2222-2-22-2-222-1-1-1-2-2211-11111-1-122-2-2-1-111-1-1-1-111112-22211-2-2-1-100002-2-11-111-1-1-111000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ452-2-222-22-1-2-2211-1-122-2-1111-1-1-111-2-2222-2-2-222-22-1-1-1-2-2211-11111-1-122-2-2-1-111-1-1-1-11111-22-2-2-1-122110000-221-11-1-1111-1-10000000000000000000000003−33−3−33−330000
χ462-2-222-22-1-2-2211-1-122-2-1111-1-1-111-2-2222-2-2-222-22-1-1-1-2-2211-11111-1-122-2-2-1-111-1-1-1-11111-22-2-2-1-122110000-221-11-1-1111-1-1000000000000000000000000−33−333−33−30000
χ472-2-222-2-1211-1-2-22-12-112-211-1-1-111-2-2222-2-22-2-22-12-1-111-1-2-221111-1-1-1-11122-2-2-1-1-1-111112-2-1-1-2-211220000-112-2-111-1-1-11100000000000000003−33−33−33−3000000000000
χ482-2-222-2-1211-1-2-22-12-112-211-1-1-111-2-2222-2-22-2-22-12-1-111-1-2-221111-1-1-1-11122-2-2-1-1-1-111112-2-1-1-2-211220000-112-2-111-1-1-1110000000000000000−33−33−33−33000000000000
χ492-2-222-2-1211-1-2-22-12-112-211-1-1-111-2-2222-2-2-222-2-12-1-111-1-2-221111-1-1-1-11122-2-2-1-1-1-11111-221122-1-1-2-200001-1-221-1-1111-1-10000000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ502-2-222-2-1211-1-2-22-12-112-211-1-1-111-2-2222-2-2-222-2-12-1-111-1-2-221111-1-1-1-11122-2-2-1-1-1-11111-221122-1-1-2-200001-1-221-1-1111-1-10000000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ512-2-22-2222-2-22-2-2222-22-22-2-22-2-222-2-22-2-2222-2-222222-2-22-2-22-2-2-2-222-2-222-2-222-2-2-2-22222-2222-2-2-2-2220000-22-222-2-22-2-222000000000000000000000000000000000000
χ522-2-22-2222-2-22-2-2222-22-22-2-22-2-222-2-22-2-222-222-22222-2-22-2-22-2-2-2-222-2-222-2-222-2-2-2-222222-2-2-22222-2-200002-22-2-222-222-2-2000000000000000000000000000000000000
χ532-2-22-222-1-2-2211-1-12-221-111-111-1-1-2-22-2-2222-2-222-1-1-1-2-2211-11111-1-1-2-22211-1-11111-1-1-1-1-222211-2-2-1-10000-221-1-111-111-1-1000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ542-2-22-222-1-2-2211-1-12-221-111-111-1-1-2-22-2-2222-2-222-1-1-1-2-2211-11111-1-1-2-22211-1-11111-1-1-1-1-222211-2-2-1-10000-221-1-111-111-1-1000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ552-2-22-222-1-2-2211-1-12-221-111-111-1-1-2-22-2-222-222-22-1-1-1-2-2211-11111-1-1-2-22211-1-11111-1-1-1-12-2-2-2-1-1221100002-2-111-1-11-1-1110000000000000000000000003−3−33−333−30000
χ562-2-22-222-1-2-2211-1-12-221-111-111-1-1-2-22-2-222-222-22-1-1-1-2-2211-11111-1-1-2-22211-1-11111-1-1-1-12-2-2-2-1-1221100002-2-111-1-11-1-111000000000000000000000000−333−33−3−330000
χ572-2-22-22-1211-1-2-22-121-1-2211-111-1-1-2-22-2-2222-2-22-12-1-111-1-2-221111-1-111-1-1-2-2221111-1-1-1-1-22-1-1-2-2112200001-1-22-111-111-1-100000000000000003−3−333−3−33000000000000
χ582-2-22-22-1211-1-2-22-121-1-2211-111-1-1-2-22-2-2222-2-22-12-1-111-1-2-221111-1-111-1-1-2-2221111-1-1-1-1-22-1-1-2-2112200001-1-22-111-111-1-10000000000000000−333−3−333−3000000000000
χ592-2-22-22-1211-1-2-22-121-1-2211-111-1-1-2-22-2-222-222-2-12-1-111-1-2-221111-1-111-1-1-2-2221111-1-1-1-12-21122-1-1-2-20000-112-21-1-11-1-1110000000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ602-2-22-22-1211-1-2-22-121-1-2211-111-1-1-2-22-2-222-222-2-12-1-111-1-2-221111-1-111-1-1-2-2221111-1-1-1-12-21122-1-1-2-20000-112-21-1-11-1-1110000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ61444444444444444-144444444444-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000004444000000000000-1-1-1-1-1-1-1-10000000000000000000000000000
χ62444444444444444-144444444444-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-4-4-4-4000000000000111111110000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-214-2-2-2-2111111144444444444-2-211-2-2-2-2-2-2111111-2-2-2-2-2-2-2-21111111144-2-2-2-2-2-2-2-20000-2-2-2-211111111000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-214-2-2-2-211111114444444-4-4-4-4-2-211-2-2-2-2-2-2111111-2-2-2-2-2-2-2-211111111-4-42222222200002222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ654444-4-4444444444-1-4-4-4-4444-4-4-4-4-1-1-111110000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000044-4-4000000000000-1-1-1-111110000000000000000000000000000
χ664444-4-4444444444-1-4-4-4-4444-4-4-4-4-1-1-111110000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000-4-4440000000000001111-1-1-1-10000000000000000000000000000
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χ684444-4-4-2-2-2-2-2-2-2-2142222111-1-1-1-1444-4-4-4-4-4-4-4-4-2-211-2-2-2-2-2-211111122222222-1-1-1-1-1-1-1-144222222220000-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
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χ1308-8-88-88-4844-4-8-88-4-24-4-8844-444-4-422-222-2-200001-211-1-1122-2-1-1-1-111-1-11122-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-88-4-444-444-42-24-44-4-2-22-2-22222-222-2-2000011−1+352−1−352-1-11-1-111−3521+3521−3521+352−1+352−1−352-1-111-1-1111−3521+3521+3521−352−1+352−1−352−1−352−1+35200000000000000000000000000000000000000000000000000000000000000

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