Finite Group Databasebeta

← Group #11792208

Character table — Group #11792208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424244444121212121212121224444466121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-11111-1-111
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000002-200
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000-2200
χ112222222-12222-1-1222-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000200222-1-10000-1-1-1-1-1-10000
χ122222222-12222-1-1222-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2-21100001111110000
χ132222222-12222-1-1222-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000002002-2-2-1-10000-1-111110000
χ142222222-12222-1-1222-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-200-22211000011-1-1-1-10000
χ15222222-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-10000000000
χ16222222-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000011110000000000
χ17222222-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10-2-20000011110000000000
χ18222222-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111102200000-1-1-1-10000000000
χ192222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000000000000000200-200220000-2-200000000
χ202222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000000000000000-200200-2-200002200000000
χ212222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-20022000000000000000000000000000002-20000022-2-20000000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-2002200000000000000000000000000000-2200000-2-2220000000000
χ232222-2-22-12-22-2-1-1222-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000200-200-1-1000011−i3−i3i3i30000
χ242222-2-22-12-22-2-1-1222-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000-200200110000-1-1i3i3−i3−i30000
χ252222-2-22-12-22-2-1-1222-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000200-200-1-1000011i3i3−i3−i30000
χ262222-2-22-12-22-2-1-1222-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000-200200110000-1-1−i3−i3i3i30000
χ272222-2-2-12-22-2222-1-1-121111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−300003333−3−3−3−302-200000-1-1110000000000
χ282222-2-2-12-22-2222-1-1-121111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−30000−3−3−3−333330-220000011-1-10000000000
χ292222-2-2-12-22-2222-1-1-121111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−33300003333−3−3−3−30-220000011-1-10000000000
χ302222-2-2-12-22-2222-1-1-121111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−3330000−3−3−3−3333302-200000-1-1110000000000
χ312-2-222-22222-2-2-2-22-2-2222-2-2222-2-2-22-22-222-222-2-2-22-2002-20000000000000000000000000000000000000000000000002i−2i
χ322-2-222-22222-2-2-2-22-2-2222-2-2222-2-2-22-22-222-222-2-2-22-2002-2000000000000000000000000000000000000000000000000−2i2i
χ332-2-222-222-2-222-2-22-2-22-2-222222-2-2-22-2-22-2-22-2-22222-22-2-222-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ342-2-222-222-2-222-2-22-2-22-2-222222-2-2-22-2-22-2-22-2-22222-2-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ352-2-222-22-1-2-222112-2-2-1-2-222-12-1111-1-2-2211-111-1-1-1-112-21-12-22-2-11-11-11-11-11-11000000000000000000−i3i30000−i3i3−i3i3−i3i30000
χ362-2-222-22-1-2-222112-2-2-1-2-222-12-1111-1-2-2211-111-1-1-1-112-21-12-22-2-11-11-11-11-11-11000000000000000000i3−i30000i3−i3i3−i3i3−i30000
χ372-2-222-22-1-2-222112-2-2-1-2-222-12-1111-1-2-2211-111-1-1-1-11-221-1-22-221-11-11-11-11-11-1000000000000000000−i3i30000−i3i3i3−i3i3−i30000
χ382-2-222-22-1-2-222112-2-2-1-2-222-12-1111-1-2-2211-111-1-1-1-11-221-1-22-221-11-11-11-11-11-1000000000000000000i3−i30000i3−i3−i3i3−i3i30000
χ392-2-222-2-12-2-222-2-2-111211-1-1-1-12-211-111-1-2-22112-1-1-112-21-1-11-112-22-2-11-11-11-11000033−3−333−3−3000000003−33−30000000000
χ402-2-222-2-12-2-222-2-2-111211-1-1-1-12-211-111-1-2-22112-1-1-112-21-1-11-112-22-2-11-11-11-110000−3−333−3−33300000000−33−330000000000
χ412-2-222-2-12-2-222-2-2-111211-1-1-1-12-211-111-1-2-22112-1-1-11-221-11-11-1-22-221-11-11-11-1000033−3−333−3−300000000−33−330000000000
χ422-2-222-2-12-2-222-2-2-111211-1-1-1-12-211-111-1-2-22112-1-1-11-221-11-11-1-22-221-11-11-11-10000−3−333−3−333000000003−33−30000000000
χ432-2-22-22222-2-22-2-22-2-2222-2-22-2-22-2-222-222-2222-2-2-2-2200-22000000000000000022-2-222-2-2-2-2220000000000000000000000
χ442-2-22-22222-2-22-2-22-2-2222-2-22-2-22-2-222-222-2222-2-2-2-2200-220000000000000000-2-222-2-22222-2-20000000000000000000000
χ452-2-22-2222-222-2-2-22-2-22-2-2222-2-22-2-2222-2-22-2-2-2222-22002-2000000000000000000000000000000002-2000000002-2-220000
χ462-2-22-2222-222-2-2-22-2-22-2-2222-2-22-2-2222-2-22-2-2-2222-22002-200000000000000000000000000000000-2200000000-222-20000
χ472-2-22-222-1-222-2112-2-2-1-2-222-1-21-111-122-21-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000000002-2−i3i30000i3−i3-111-10000
χ482-2-22-222-1-222-2112-2-2-1-2-222-1-21-111-122-21-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000-22i3−i30000−i3i31-1-110000
χ492-2-22-222-1-222-2112-2-2-1-2-222-1-21-111-122-21-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000000002-2i3−i30000−i3i3-111-10000
χ502-2-22-222-1-222-2112-2-2-1-2-222-1-21-111-122-21-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000-22−i3i30000i3−i31-1-110000
χ512-2-22-22-122-2-22-2-2-1112-1-111-11-2211-1-11-12-22-1-1-2111-1001-13−3−3300003−3−333−3−3322-2-2-1-11111-1-100000000−333−30000000000
χ522-2-22-22-122-2-22-2-2-1112-1-111-11-2211-1-11-12-22-1-1-2111-1001-13−3−3300003−3−333−3−33-2-22211-1-1-1-111000000003−3−330000000000
χ532-2-22-22-122-2-22-2-2-1112-1-111-11-2211-1-11-12-22-1-1-2111-1001-1−333−30000−333−3−333−322-2-2-1-11111-1-1000000003−3−330000000000
χ542-2-22-22-122-2-22-2-2-1112-1-111-11-2211-1-11-12-22-1-1-2111-1001-1−333−30000−333−3−333−3-2-22211-1-1-1-11100000000−333−30000000000
χ554444444-2-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-2-2-24-4-422222222-2-2002200000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-444-2-2-242222-2-244-2-2-2-222-4-4-422-422-2-2002200000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-4-44-2-44-44-2-2444-2-4-4-4-4-2-422-2-2-2-4442-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-244-44-444-2-2-24-2-2-2-2-22-4-4-2-2-22224-4-4-2-24-2-222002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ6744-4-4004400004-4-44-4-4000040004-4-40000000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-4004400004-4-44-4-4000040004-4-4000000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-400-2400004-42-22-423−2323−23-2000-22200000023−23023−2300000000000000000000002-22-2−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000
χ7044-4-400-2400004-42-22-423−2323−23-2000-22200000023−23023−230000000000000000000000-22-221+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000
χ7144-4-400-2400004-42-22-4−2323−2323-2000-222000000−23230−232300000000000000000000002-22-2−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000
χ7244-4-400-2400004-42-22-4−2323−2323-2000-222000000−23230−23230000000000000000000000-22-221−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000
χ734-44-400440000-44-4-44-400004000-44-40000000000000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ744-44-400440000-44-4-44-400004000-44-4000000000000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ754-44-400-240000-4422-2-423−23−2323-20002-2200000023−230−232300000000000000000000002-2-22−1−31+31+3−1−31−3−1+3−1+31−30000000000000000000000
χ764-44-400-240000-4422-2-423−23−2323-20002-2200000023−230−23230000000000000000000000-222-21+3−1−3−1−31+3−1+31−31−3−1+30000000000000000000000
χ774-44-400-240000-4422-2-4−232323−23-20002-22000000−2323023−2300000000000000000000002-2-22−1+31−31−3−1+31+3−1−3−1−31+30000000000000000000000
χ784-44-400-240000-4422-2-4−232323−23-20002-22000000−2323023−230000000000000000000000-222-21−3−1+3−1+31−3−1−31+31+3−1−30000000000000000000000
χ794-4-444-44-244-4-4224-4-4-244-4-4-24-2222-2-44-4-2-22-2-2222-2200-2200000000000000000000000000000000000000000000000000
χ804-4-444-4-2444-4-4-4-4-2224-2-222-2-24-422-22-2244-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000
χ814-4-444-4-2-244-4-422-222-2-2-2221-2-22-1-112-22-2-22112-1-11-1001-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ824-4-444-4-2-244-4-422-222-2-2-2221-2-22-1-112-22-2-22112-1-11-1001-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ834-4-444-4-2-2-4-44422-222-222-2-21-2-22-1-1122-222-2-1-1-2111-14-4-11-22-22-22-221-11-11-11-10000000000000000000000000000000000
χ844-4-444-4-2-2-4-44422-222-222-2-21-2-22-1-1122-222-2-1-1-2111-1-44-112-22-22-22-2-11-11-11-110000000000000000000000000000000000
χ854-4-44-444-24-4-44224-4-4-244-4-4-2-42-222-24-44-22-2-2-22222-2002-200000000000000000000000000000000000000000000000000
χ864-4-44-44-24-444-4-4-4-222422-2-2-22-4422-2-2-22-44-4224-2-22-200-2200000000000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-4422-222-2-2-222122-2-1-11-22-2-22-2112-1-1-1100-1123−23−23230000−333−3−333−30000000000000000000000000000000000
χ884-4-44-44-2-24-4-4422-222-2-2-222122-2-1-11-22-2-22-2112-1-1-1100-11−232323−2300003−3−333−3−330000000000000000000000000000000000
χ894-4-44-44-2-2-444-422-222-222-2-2122-2-1-11-2-222-22-1-1-211-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ904-4-44-44-2-2-444-422-222-222-2-2122-2-1-11-2-222-22-1-1-211-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ9188-8-8008-40000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-44443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-444-444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000
χ948-88-8008-400004-4-8-8840000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-44−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000

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