Finite Group Databasebeta

← Group #11792279

Character table — Group #11792279

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424244444121212121212121224446688121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-11
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11-1-11
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-111-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000002-2000000022-2-200000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000-220000000-2-22200000000
χ112222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12002-1-100-1-1000000000000
χ122222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-200-2110011000000000000
χ132222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-200-2110011000000000000
χ142222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2111111112002-1-100-1-1000000000000
χ15222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000220002200-1-1-1-1-1-1-1-10000
χ16222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2000-2-200111111110000
χ17222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000022000-2-200-1-1-1-111110000
χ18222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000-2-200022001111-1-1-1-10000
χ19222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-10011000033−3−33333−3−3−3−300000000000002-20000000-1-11133−3−30000
χ20222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-10011000033−3−33333−3−3−3−30000000000000-22000000011-1-1−3−3330000
χ21222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-100110000−3−333−3−3−3−3333300000000000002-20000000-1-111−3−3330000
χ22222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-100110000−3−333−3−3−3−333330000000000000-22000000011-1-133−3−30000
χ232222-2-2222-22-222222222222-2-2-2222-22-2-2-222222-2-2-200-2-20000000000000000000000000000000000000000000000200-2
χ242222-2-2222-22-222222222222-2-2-2222-22-2-2-222222-2-2-200-2-20000000000000000000000000000000000000000000000-2002
χ252222-2-222-22-22222222-2-2-2-22-2-2-2222-2-2222-2-2-2-2-22-2-200220000000000000000000000000000200-22200-2-2000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2222-2-2222-2-2-2-2-22-2-200220000000000000000000000000000-2002-2-20022000000000000
χ272222-2-22-1-22-222-1-12-121111-1-2-21-1-1-11-22-1-111-21121100-1-133−3−3000033−3−333−3−300003333−3−3−3−3200-2-1-10011000000000000
χ282222-2-22-1-22-222-1-12-121111-1-2-21-1-1-11-22-1-111-21121100-1-133−3−3000033−3−333−3−30000−3−3−3−33333-20021100-1-1000000000000
χ292222-2-22-1-22-222-1-12-121111-1-2-21-1-1-11-22-1-111-21121100-1-1−3−3330000−3−333−3−33300003333−3−3−3−3-20021100-1-1000000000000
χ302222-2-22-1-22-222-1-12-121111-1-2-21-1-1-11-22-1-111-21121100-1-1−3−3330000−3−333−3−3330000−3−3−3−33333200-2-1-10011000000000000
χ312-2-222-22222-2-2-2-2-222-222-2-222-22-2-22-2222-222-2-2-2-22-2002-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ322-2-222-22222-2-2-2-2-222-222-2-222-22-2-22-2222-222-2-2-2-22-2002-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-2-222-222-2-222-2-2-222-2-2-22222-22-2-22-2-2-2-22-2-222222-200-22000000000000000000000000000000000000000000000002-20
χ342-2-222-222-2-222-2-2-222-2-2-22222-22-2-22-2-2-2-22-2-222222-200-2200000000000000000000000000000000000000000000000-220
χ352-2-222-22-122-2-2-2112-1-2-1-111-12-2-111-1122-11-1-1-211-2-1100-113−33−300003−33−33−33−32i2i−2i−2i−i−iii−i−iii0000−i3i300−i3i3000000000000
χ362-2-222-22-122-2-2-2112-1-2-1-111-12-2-111-1122-11-1-1-211-2-1100-113−33−300003−33−33−33−3−2i−2i2i2iii−i−iii−i−i0000i3−i300i3−i3000000000000
χ372-2-222-22-122-2-2-2112-1-2-1-111-12-2-111-1122-11-1-1-211-2-1100-11−33−330000−33−33−33−332i2i−2i−2i−i−iii−i−iii0000i3−i300i3−i3000000000000
χ382-2-222-22-122-2-2-2112-1-2-1-111-12-2-111-1122-11-1-1-211-2-1100-11−33−330000−33−33−33−33−2i−2i2i2iii−i−iii−i−i0000−i3i300−i3i3000000000000
χ392-2-22-22222-2-22-2-2-222-222-2-22-22-2-2-2222-2-2222-2-2-22-2200-2200000000000000000000000000000000002-20000002-22-20000
χ402-2-22-22222-2-22-2-2-222-222-2-22-22-2-2-2222-2-2222-2-2-22-2200-220000000000000000000000000000000000-22000000-22-220000
χ412-2-22-2222-222-2-2-2-222-2-2-2222-22-2-2-222-222-2-2-2222-2-222-22-22-2-222-22-22-2-222-2-220000000000000000000000000000000000
χ422-2-22-2222-222-2-2-2-222-2-2-2222-22-2-2-222-222-2-2-2222-2-22-222-2-222-2-22-22-222-2-222-20000000000000000000000000000000000
χ432-2-22-222-1-222-2-2112-1-211-1-1-1-22111-1-1-22-11112-1-1-21-12-2-11-111-12-22-2-111-1-111-10000−i3−i3i3i3i3i3−i3−i30000−i3i300i3−i3000000000000
χ442-2-22-222-1-222-2-2112-1-211-1-1-1-22111-1-1-22-11112-1-1-21-12-2-11-111-12-22-2-111-1-111-10000i3i3−i3−i3−i3−i3i3i30000i3−i300−i3i3000000000000
χ452-2-22-222-1-222-2-2112-1-211-1-1-1-22111-1-1-22-11112-1-1-21-1-22-111-1-11-22-221-1-111-1-110000−i3−i3i3i3i3i3−i3−i30000i3−i300−i3i3000000000000
χ462-2-22-222-1-222-2-2112-1-211-1-1-1-22111-1-1-22-11112-1-1-21-1-22-111-1-11-22-221-1-111-1-110000i3i3−i3−i3−i3−i3i3i30000−i3i300i3−i3000000000000
χ472-2-22-22-122-2-221-2-2-12122-2-2-11-1-211-12-11-22-1-1111-11-1001-100003−3−333−3−33−333−30000000000000000002-2003−33−3-11-110000
χ482-2-22-22-122-2-221-2-2-12122-2-2-11-1-211-12-11-22-1-1111-11-1001-100003−3−333−3−33−333−3000000000000000000-2200−33−331-11-10000
χ492-2-22-22-122-2-221-2-2-12122-2-2-11-1-211-12-11-22-1-1111-11-1001-10000−333−3−333−33−3−330000000000000000002-200−33−33-11-110000
χ502-2-22-22-122-2-221-2-2-12122-2-2-11-1-211-12-11-22-1-1111-11-1001-10000−333−3−333−33−3−33000000000000000000-22003−33−31-11-10000
χ512-2-22-22-12-222-21-2-2-121-2-222-11-1-211-121-12-211-1-1-111-12-2-112-2-22-11-11-111-1-111-100000000000000000000003−3−33−333−30000
χ522-2-22-22-12-222-21-2-2-121-2-222-11-1-211-121-12-211-1-1-111-12-2-112-2-22-11-11-111-1-111-10000000000000000000000−333−33−3−330000
χ532-2-22-22-12-222-21-2-2-121-2-222-11-1-211-121-12-211-1-1-111-1-22-11-222-21-11-11-1-111-1-1100000000000000000000003−3−333−3−330000
χ542-2-22-22-12-222-21-2-2-121-2-222-11-1-211-121-12-211-1-1-111-1-22-11-222-21-11-11-1-111-1-110000000000000000000000−333−3−333−30000
χ554444444-2-4-4-4-44-2-24-242222-244-2-2-2-2-2-4-42222-422-4-2-2002200000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-100002323−23−23−3−3−3−333330000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-10000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ604444-4-44-24-44-44-2-24-24-2-2-2-2-2-4-42-2-2-224-422-2-24-2-2-422002200000000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-244-24-24444-222-4-2-2-2-4-22-4-4-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-244-24-2-4-4-4-4-222-4-2-2-2-42-24422222-22200-2-200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-212221112-222211-2112-1-100-1-10000000033-3-3-3-3330000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-212221112-222211-2112-1-100-1-100000000-3-33333-3-30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-22222122211122-2-2-2-1-12-1-1-2-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-22222122211122-2-2-2-1-12-1-1-2-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ6744-4-40044000044-4-4-4-4000040004-4-40000000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-40044000044-4-4-4-4000040004-4-4000000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-4004-200004-22-42-423−2323−23-2000-2220000023−23023−23000000000000000000000002-22-2−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000
χ7044-4-4004-200004-22-42-423−2323−23-2000-2220000023−23023−2300000000000000000000000-22-221+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000
χ7144-4-4004-200004-22-42-4−2323−2323-2000-22200000−23230−2323000000000000000000000002-22-2−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000
χ7244-4-4004-200004-22-42-4−2323−2323-2000-22200000−23230−232300000000000000000000000-22-221−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000
χ734-44-400440000-4-44-4-4400004000-44-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ744-44-400440000-4-44-4-4400004000-44-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ754-44-4004-20000-42-2-42423−23−2323-20002-220000023−230−2323000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ764-44-4004-20000-42-2-42423−23−2323-20002-220000023−230−232300000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ774-44-4004-20000-42-2-424−232323−23-20002-2200000−2323023−23000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ784-44-4004-20000-42-2-424−232323−23-20002-2200000−2323023−2300000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ794-4-444-44-2-4-444-4224-2-422-2-2-24-4-222-22-4-42-2224-2-24-22002-200000000000000000000000000000000000000000000000000
χ804-4-444-4-2444-4-42-4-4-24244-4-4-2-22422-2-4-2-24-4-2-22222-2200-2200000000000000000000000000000000000000000000000000
χ814-4-444-4-24-4-4442-4-4-242-4-444-2-22422-2-422-4422-2-2-2-2-22002-200000000000000000000000000000000000000000000000000
χ824-4-444-4-2-244-4-4222-2-22-2-2221-22-2-1-112-2-2-22112-1-121-1001-123−2323−230000−33−33−33−330000000000000000000000000000000000
χ834-4-444-4-2-244-4-4222-2-22-2-2221-22-2-1-112-2-2-22112-1-121-1001-1−2323−232300003−33−33−33−30000000000000000000000000000000000
χ844-4-444-4-2-2-4-444222-2-2222-2-21-22-2-1-112222-2-1-1-211-21-100-11000000003-33-3-33-330000000000000000000000000000000000
χ854-4-444-4-2-2-4-444222-2-2222-2-21-22-2-1-112222-2-1-1-211-21-100-1100000000-33-333-33-30000000000000000000000000000000000
χ864-4-44-444-24-4-44-4224-2-4-2-222-2-44222-2-24-42-2-2-2-42242-2002-200000000000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-44222-2-22-2-22212-22-1-11-2-222-2112-1-1-2-1100-11000023−23−2323−333−33−3−330000000000000000000000000000000000
χ884-4-44-44-2-24-4-44222-2-22-2-22212-22-1-11-2-222-2112-1-1-2-1100-110000−232323−233−3−33−333−30000000000000000000000000000000000
χ894-4-44-44-2-2-444-4222-2-2222-2-212-22-1-11-22-2-22-1-1-2112-114-41-1-222-2-22-221-1-111-1-110000000000000000000000000000000000
χ904-4-44-44-2-2-444-4222-2-2222-2-212-22-1-11-22-2-22-1-1-2112-11-441-12-2-222-22-2-111-1-111-10000000000000000000000000000000000
χ9188-8-800-480000-48-84-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-4444443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-4-44444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-884-8-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-444-443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-444-4−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.