Finite Group Databasebeta

← Group #11865791

Character table — Group #11865791

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12224444223344666666666612121212121212121212121236666666668888121212121212121212122424242424242424242424242424242424242424242424242424242424242424444422444488881212121212121212242424242424242424666612121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1
χ91111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11-1
χ101111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-11
χ111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-11
χ121111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ131111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ141111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111111-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-1-11
χ1722222222222-1222222-1-1222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200220000000000000000000022-1-1-1-1-1-1-1-1000000
χ1822222222222-1222222-1-1222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-200000000000000000000-2-211111111000000
χ1922222222222-1222222-1-1222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000022002200000000000000000000-2-2-1-111-1-111000000
χ2022222222222-1222222-1-1222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-200-2-2000000000000000000002211-1-111-1-1000000
χ212222222222-1222-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220022002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222222-1222-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-200-2-2-2-211111111111111110000000000000000
χ232222222222-1222-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222002200-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222222-1222-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-200-2-200222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-2-222-2-2-2-2-2-2222222-2-222222222-2-22-2-222-2-2-2-220000-2-2-22222-2-2-200000000000000000000000000000000222200-2-200000022-2-222-2-2000000000000000000000000
χ2622222222-2-222-2-2-2-2-2-2222222-2-222222222-2-22-2-222-2-2-2-220000-2-2-22222-2-2-200000000000000000000000000000000-2-2-2-20022000000-2-222-2-222000000000000000000000000
χ2722222222-2-2-12-2-2111122-1-1-1211-1-1-1-1222211-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3222200-2-2000000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-2-2-12-2-2111122-1-1-1211-1-1-1-1222211-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-2002200000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-2-2-12-2-2111122-1-1-1211-1-1-1-1222211-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333222200-2-2000000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-2-2-12-2-2111122-1-1-1211-1-1-1-1222211-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-2002200000011-1-111-1-133−3−333−3−30000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200-2200000022-2-2-2-222000000000000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222002-2000000-2-22222-2-2000000000000000000000000
χ332222-2-2-2-222-12-2-2-1-1-1-122-1-1-12111111-2-2-2-211-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−3333322-2-200-22000000-1-11111-1-133−3−3−3−3330000000000000000
χ342222-2-2-2-222-12-2-2-1-1-1-122-1-1-12111111-2-2-2-211-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-222002-200000011-1-1-1-111−3−33333−3−30000000000000000
χ352222-2-2-2-222-12-2-2-1-1-1-122-1-1-12111111-2-2-2-211-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−322-2-200-22000000-1-11111-1-1−3−33333−3−30000000000000000
χ362222-2-2-2-222-12-2-2-1-1-1-122-1-1-12111111-2-2-2-211-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-222002-200000011-1-1-1-11133−3−3−3−3330000000000000000
χ372222-2-2-2-2-2-22-122-2-2-2-2-1-1222-122-2-2-2-2111122-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100002200-2-2000000000000000000002-2-1-1-1-11111000000
χ382222-2-2-2-2-2-22-122-2-2-2-2-1-1222-122-2-2-2-2111122-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000-2-2002200000000000000000000-221111-1-1-1-1000000
χ392222-2-2-2-2-2-22-122-2-2-2-2-1-1222-122-2-2-2-2111122-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100002200-2-200000000000000000000-22-1-11111-1-1000000
χ402222-2-2-2-2-2-22-122-2-2-2-2-1-1222-122-2-2-2-2111122-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000-2-20022000000000000000000002-211-1-1-1-111000000
χ412222-2-2-2-2-2-2-1222111122-1-1-12-1-11111-2-2-2-2-1-1-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2002-20022-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ422222-2-2-2-2-2-2-1222111122-1-1-12-1-11111-2-2-2-2-1-1-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-22200-2200-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ432222-2-2-2-2-2-2-1222111122-1-1-12-1-11111-2-2-2-2-1-1-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-2002-200-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ442222-2-2-2-2-2-2-1222111122-1-1-12-1-11111-2-2-2-2-1-1-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-22200-220022-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ4522-2-22i2i−2i−2i00220000002-2-22-2-2002i2i−2i−2i2i2i−2i−2i002002-20000-22−2−i2i20002i2i−2i−2i0002−22−2−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22i−2i0000002−2−i2i22-2002i−2i002−22−2−i2i2−i2i20000000000000000
χ4622-2-22i2i−2i−2i00220000002-2-22-2-2002i2i−2i−2i2i2i−2i−2i002002-20000-22−2−i2i20002i2i−2i−2i0002−22−2−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22−2i2i000000−22i2−i2-2200−2i2i00−22−22i2−i2i2−i20000000000000000
χ4722-2-22i2i−2i−2i00220000002-2-22-2-2002i2i−2i−2i2i2i−2i−2i002002-20000-2−22i2−i20002i2i−2i−2i000−22−22i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-22i−2i000000−22i2−i22-2002i−2i00−22−22i2−i2i2−i20000000000000000
χ4822-2-22i2i−2i−2i00220000002-2-22-2-2002i2i−2i−2i2i2i−2i−2i002002-20000-2−22i2−i20002i2i−2i−2i000−22−22i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22−2i2i0000002−2−i2i2-2200−2i2i002−22−2−i2i2−i2i20000000000000000
χ4922-2-22i2i−2i−2i00-1200−i3−i3i3i32-21-11-23−3−i−iii2i2i−2i−2i3−3-100-11−i3−i3i3i312−2−i2i203−3−i−iii03−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-22i−2i0000002−2−i2i2-113−3−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5022-2-22i2i−2i−2i00-1200−i3−i3i3i32-21-11-23−3−i−iii2i2i−2i−2i3−3-100-11−i3−i3i3i312−2−i2i203−3−i−iii03−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-22−2i2i000000−22i2−i21-1−33i−ii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5122-2-22i2i−2i−2i00-1200−i3−i3i3i32-21-11-23−3−i−iii2i2i−2i−2i3−3-100-11−i3−i3i3i31−22i2−i203−3−i−iii03−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-22i−2i000000−22i2−i2-113−3−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.