Finite Group Databasebeta

← Group #11780709

Character table — Group #11780709

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222244444444444444444448888888888888888888888888888888888888888881616161616161616727272727272144
order122233336666666666664441212121212121212121212121212121244888812121212242424242424242424242424242424242424242424242424242424242424242412121212121212124444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111
χ5111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1
χ6111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11
χ7111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-1-1-11
χ8111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1111-1
χ9222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000020-2000
χ10222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000000000000000000000000000000000000-202000
χ1122222222222222222222-22-2-2-2-2-2-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000000000000020-20000
χ1222222222222222222222-22-2-2-2-2-2-2-2-2-222222222000000-2-2-2-20000000000000000000000000000000000000000-2020000
χ1322222222222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-200002222000000000000000000000000000000002222-2-2-2-20000000
χ1422222222222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000222200000000000000000000000000000000-2-2-2-222220000000
χ1522222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-10000000
χ1622222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-12-1-1-10000000
χ1722222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2111-21110000000
χ1822222-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2111-21110000000
χ1922222-1-1-12-1-1-122-1-1-1-1-1-1-2-22-2-2111111-2-21111112-200002-1-1-10000333333−3−3−3−3−3−30000333333−3−3−3−3−3−32-1-1-1-21110000000
χ2022222-1-1-12-1-1-122-1-1-1-1-1-1-2-22-2-2111111-2-21111112-200002-1-1-10000−3−3−3−3−3−33333330000−3−3−3−3−3−33333332-1-1-1-21110000000
χ2122222-1-1-12-1-1-122-1-1-1-1-1-1-2-22-2-2111111-2-2111111-2200002-1-1-10000333333−3−3−3−3−3−30000−3−3−3−3−3−3333333-21112-1-1-10000000
χ2222222-1-1-12-1-1-122-1-1-1-1-1-1-2-22-2-2111111-2-2111111-2200002-1-1-10000−3−3−3−3−3−33333330000333333−3−3−3−3−3−3-21112-1-1-10000000
χ232222-12-1-1-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1222222-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000
χ242222-12-1-1-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-2-2-2-2-12-1-11111-2-21111-2-211111111-2-21111-2-21111-12-1-1-12-1-10000000
χ252222-12-1-1-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-222-2-2-12-1-1-1-1-1-122-1-1-1-122-1-1-1-11111-2-21111-2-211111-2111-2110000000
χ262222-12-1-1-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-222-12-1-11111-2-21111-2-21111-1-1-1-122-1-1-1-122-1-1-1-11-2111-2110000000
χ272222-12-1-1-12-1-1-1-122-1-1-1-1-2-2211-2-2111111-2-211112-20000-12-1-133−3−30033−3−30033−3−333−3−30033−3−30033−3−3-12-1-11-2110000000
χ282222-12-1-1-12-1-1-1-122-1-1-1-1-2-2211-2-2111111-2-211112-20000-12-1-1−3−33300−3−33300−3−333−3−33300−3−33300−3−333-12-1-11-2110000000
χ292222-12-1-1-12-1-1-1-122-1-1-1-1-2-2211-2-2111111-2-21111-220000-12-1-133−3−30033−3−30033−3−3−3−33300−3−33300−3−3331-211-12-1-10000000
χ302222-12-1-1-12-1-1-1-122-1-1-1-1-2-2211-2-2111111-2-21111-220000-12-1-1−3−33300−3−33300−3−33333−3−30033−3−30033−3−31-211-12-1-10000000
χ312222-1-12-1-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-1222222-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-12-10000000
χ322222-1-12-1-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-122-2-2-2-2-1-12-1111111-2-2111111-2-2111111-2-2111111-2-2-1-12-1-1-12-10000000
χ332222-1-12-1-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-2-222-2-2-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-211-2111-210000000
χ342222-1-12-1-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-222-1-12-1111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12211-2111-210000000
χ352222-1-12-1-1-12-1-1-1-1-122-1-1-2-221111-2-2111111-2-2112-20000-1-12-133−3−3−3−3003333−3−30033−3−3−3−3003333−3−300-1-12-111-210000000
χ362222-1-12-1-1-12-1-1-1-1-122-1-1-2-221111-2-2111111-2-2112-20000-1-12-1−3−3333300−3−3−3−33300−3−3333300−3−3−3−33300-1-12-111-210000000
χ372222-1-12-1-1-12-1-1-1-1-122-1-1-2-221111-2-2111111-2-211-220000-1-12-133−3−3−3−3003333−3−300−3−3333300−3−3−3−3330011-21-1-12-10000000
χ382222-1-12-1-1-12-1-1-1-1-122-1-1-2-221111-2-2111111-2-211-220000-1-12-1−3−3333300−3−3−3−3330033−3−3−3−3003333−3−30011-21-1-12-10000000
χ392222-1-1-12-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-12-1-1-120000000
χ402222-1-1-12-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-2-1-1-1211111111-2-211-2-21111111111-2-211-2-211-1-1-12-1-1-120000000
χ412222-1-1-12-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-2-222-2-2-1-1-12-1-1-1-1-1-1-1-122-1-122-1-111111111-2-211-2-211111-2111-20000000
χ422222-1-1-12-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-222-1-1-1211111111-2-211-2-211-1-1-1-1-1-1-1-122-1-122-1-1111-2111-20000000
χ432222-1-1-12-1-1-12-1-1-1-1-1-122-2-22111111-2-2111111-2-22-20000-1-1-1233−3−333−3−300−3−3003333−3−333−3−300−3−30033-1-1-12111-20000000
χ442222-1-1-12-1-1-12-1-1-1-1-1-122-2-22111111-2-2111111-2-22-20000-1-1-12−3−333−3−333003300−3−3−3−333−3−333003300−3−3-1-1-12111-20000000
χ452222-1-1-12-1-1-12-1-1-1-1-1-122-2-22111111-2-2111111-2-2-220000-1-1-1233−3−333−3−300−3−30033−3−333−3−333003300−3−3111-2-1-1-120000000
χ462222-1-1-12-1-1-12-1-1-1-1-1-122-2-22111111-2-2111111-2-2-220000-1-1-12−3−333−3−333003300−3−333−3−333−3−300−3−30033111-2-1-1-120000000
χ4744444-2-2-24-2-2-244-2-2-2-2-2-24-4-444-2-2-2-2-2-2-4-4222222000000-422200000000000000000000000000000000000000000000000
χ4844444-2-2-24-2-2-244-2-2-2-2-2-2-44-4-4-422222244-2-2-2-2-2-2000000-422200000000000000000000000000000000000000000000000
χ494444-24-2-2-24-2-2-2-244-2-2-2-24-4-4-2-244-2-2-2-222-4-422220000002-42200000000000000000000000000000000000000000000000
χ504444-24-2-2-24-2-2-2-244-2-2-2-2-44-422-4-42222-2-244-2-2-2-20000002-42200000000000000000000000000000000000000000000000
χ514444-2-24-2-2-24-2-2-2-2-244-2-24-4-4-2-2-2-244-2-22222-4-42200000022-4200000000000000000000000000000000000000000000000
χ524444-2-24-2-2-24-2-2-2-2-244-2-2-44-42222-4-422-2-2-2-244-2-200000022-4200000000000000000000000000000000000000000000000
χ534444-2-2-24-2-2-24-2-2-2-2-2-2444-4-4-2-2-2-2-2-244222222-4-4000000222-400000000000000000000000000000000000000000000000
χ544444-2-2-24-2-2-24-2-2-2-2-2-244-44-4222222-4-4-2-2-2-2-2-244000000222-400000000000000000000000000000000000000000000000
χ5544-4-44444-4-4-4-44-44-44-44-40000000000000000000002-20000002-22-22-22-22-22-22-22-20000000000000000000000000000000
χ5644-4-44444-4-4-4-44-44-44-44-4000000000000000000000-22000000-22-22-22-22-22-22-22-220000000000000000000000000000000
χ5744-4-44-2-2-2-42224-4-22-22-22000000000000023−2323−2323−23002-20000002-22-2−1+31−3−1+31−3−1+31−3−1−31+3−1−31+3−1−31+30000000000000000000000000000000
χ5844-4-44-2-2-2-42224-4-22-22-22000000000000023−2323−2323−2300-22000000-22-221−3−1+31−3−1+31−3−1+31+3−1−31+3−1−31+3−1−30000000000000000000000000000000
χ5944-4-44-2-2-2-42224-4-22-22-220000000000000−2323−2323−2323002-20000002-22-2−1−31+3−1−31+3−1−31+3−1+31−3−1+31−3−1+31−30000000000000000000000000000000
χ6044-4-44-2-2-2-42224-4-22-22-220000000000000−2323−2323−232300-22000000-22-221+3−1−31+3−1−31+3−1−31−3−1+31−3−1+31−3−1+30000000000000000000000000000000
χ6144-4-4-24-2-22-422-224-4-22-220000000000023−230023−23−2323002-2000000−1+31−3−1−31+32-2−1+31−3−1−31+32-2−1+31−3−1−31+30000000000000000000000000000000
χ6244-4-4-24-2-22-422-224-4-22-220000000000023−230023−23−232300-220000001−3−1+31+3−1−3-221−3−1+31+3−1−3-221−3−1+31+3−1−30000000000000000000000000000000
χ6344-4-4-24-2-22-422-224-4-22-2200000000000−232300−232323−23002-2000000−1−31+3−1+31−32-2−1−31+3−1+31−32-2−1−31+3−1+31−30000000000000000000000000000000
χ6444-4-4-24-2-22-422-224-4-22-2200000000000−232300−232323−2300-220000001+3−1−31−3−1+3-221+3−1−31−3−1+3-221+3−1−31−3−1+30000000000000000000000000000000
χ6544-4-4-2-24-222-42-22-224-4-220000000000023−23−23230023−23002-2000000−1+31−3−1−31+3−1−31+32-2−1+31−3−1+31−3−1−31+32-20000000000000000000000000000000
χ6644-4-4-2-24-222-42-22-224-4-220000000000023−23−23230023−2300-220000001−3−1+31+3−1−31+3−1−3-221−3−1+31−3−1+31+3−1−3-220000000000000000000000000000000
χ6744-4-4-2-24-222-42-22-224-4-2200000000000−232323−2300−2323002-2000000−1−31+3−1+31−3−1+31−32-2−1−31+3−1−31+3−1+31−32-20000000000000000000000000000000
χ6844-4-4-2-24-222-42-22-224-4-2200000000000−232323−2300−232300-220000001+3−1−31−3−1+31−3−1+3-221+3−1−31+3−1−31−3−1+3-220000000000000000000000000000000
χ6944-4-4-2-2-24222-4-22-22-224-40000000000023−2323−23−232300002-2000000−1+31−3−1−31+3−1+31−3−1−31+32-2−1−31+32-2−1+31−30000000000000000000000000000000
χ7044-4-4-2-2-24222-4-22-22-224-40000000000023−2323−23−23230000-220000001−3−1+31+3−1−31−3−1+31+3−1−3-221+3−1−3-221−3−1+30000000000000000000000000000000
χ7144-4-4-2-2-24222-4-22-22-224-400000000000−2323−232323−2300002-2000000−1−31+3−1+31−3−1−31+3−1+31−32-2−1+31−32-2−1−31+30000000000000000000000000000000
χ7244-4-4-2-2-24222-4-22-22-224-400000000000−2323−232323−230000-220000001+3−1−31−3−1+31+3−1−31−3−1+3-221−3−1+3-221+3−1−30000000000000000000000000000000
χ734-44-44444-4-4-4-4-44-44-44-44000000000000000000000002-2000000000000000000002-22-22-22-22-22-22-22-2000000000000000
χ744-44-44444-4-4-4-4-44-44-44-4400000000000000000000000-2200000000000000000000-22-22-22-22-22-22-22-22000000000000000
χ754-44-44-2-2-2-4222-442-22-22-20000023−2323−2323−230000000000002-2000000000000000000002-22-2−1+31−3−1+31−3−1+31−3−1−31+3−1−31+3−1−31+3000000000000000
χ764-44-44-2-2-2-4222-442-22-22-20000023−2323−2323−23000000000000-2200000000000000000000-22-221−3−1+31−3−1+31−3−1+31+3−1−31+3−1−31+3−1−3000000000000000
χ774-44-44-2-2-2-4222-442-22-22-200000−2323−2323−23230000000000002-2000000000000000000002-22-2−1−31+3−1−31+3−1−31+3−1+31−3−1+31−3−1+31−3000000000000000
χ784-44-44-2-2-2-4222-442-22-22-200000−2323−2323−2323000000000000-2200000000000000000000-22-221+3−1−31+3−1−31+3−1−31−3−1+31−3−1+31−3−1+3000000000000000
χ794-44-4-24-2-22-4222-2-442-22-200023−230023−23−23230000000000002-200000000000000000000−1+31−3−1−31+32-2−1+31−3−1−31+32-2−1+31−3−1−31+3000000000000000
χ804-44-4-24-2-22-4222-2-442-22-200023−230023−23−2323000000000000-22000000000000000000001−3−1+31+3−1−3-221−3−1+31+3−1−3-221−3−1+31+3−1−3000000000000000
χ814-44-4-24-2-22-4222-2-442-22-2000−232300−232323−230000000000002-200000000000000000000−1−31+3−1+31−32-2−1−31+3−1+31−32-2−1−31+3−1+31−3000000000000000
χ824-44-4-24-2-22-4222-2-442-22-2000−232300−232323−23000000000000-22000000000000000000001+3−1−31−3−1+3-221+3−1−31−3−1+3-221+3−1−31−3−1+3000000000000000
χ834-44-4-2-24-222-422-22-2-442-200023−23−23230023−230000000000002-200000000000000000000−1+31−3−1−31+3−1−31+32-2−1+31−3−1+31−3−1−31+32-2000000000000000
χ844-44-4-2-24-222-422-22-2-442-200023−23−23230023−23000000000000-22000000000000000000001−3−1+31+3−1−31+3−1−3-221−3−1+31−3−1+31+3−1−3-22000000000000000
χ854-44-4-2-24-222-422-22-2-442-2000−232323−2300−23230000000000002-200000000000000000000−1−31+3−1+31−3−1+31−32-2−1−31+3−1−31+3−1+31−32-2000000000000000
χ864-44-4-2-24-222-422-22-2-442-2000−232323−2300−2323000000000000-22000000000000000000001+3−1−31−3−1+31−3−1+3-221+3−1−31+3−1−31−3−1+3-22000000000000000
χ874-44-4-2-2-24222-42-22-22-2-4400023−2323−23−2323000000000000002-200000000000000000000−1+31−3−1−31+3−1+31−3−1−31+32-2−1−31+32-2−1+31−3000000000000000
χ884-44-4-2-2-24222-42-22-22-2-4400023−2323−23−232300000000000000-22000000000000000000001−3−1+31+3−1−31−3−1+31+3−1−3-221+3−1−3-221−3−1+3000000000000000
χ894-44-4-2-2-24222-42-22-22-2-44000−2323−232323−23000000000000002-200000000000000000000−1−31+3−1+31−3−1−31+3−1+31−32-2−1+31−32-2−1−31+3000000000000000
χ904-44-4-2-2-24222-42-22-22-2-44000−2323−232323−2300000000000000-22000000000000000000001+3−1−31−3−1+31+3−1−31−3−1+3-221−3−1+3-221+3−1−3000000000000000
χ914-4-4444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000002i−2i0
χ924-4-4444444444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000−2i2i0
χ938-8-888-4-4-48-4-4-4-8-84444440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48-4-4-48-4-444-8-844440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-4-4-48-44444-8-8440000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-48-4-4-48444444-8-80000000000000000000000000000000000000000000000000000000000000000000000000000

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