Finite Group Databasebeta

← Group #11792207

Character table — Group #11792207

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444412121212121212124444881212121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-11
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-111-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000002-200000022-2-200000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000-22000000-2-22200000000
χ112222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ122222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ132222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ142222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-211111111220000-1-1-1-1000000000000
χ15222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ16222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ17222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000022-2-20000-1-1-1-111110000
χ18222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000000-2-22200001111-1-1-1-10000
χ19222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-10011000033−3−33333−3−3−3−3000000000000002-2000000-1-11133−3−30000
χ20222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-10011000033−3−33333−3−3−3−300000000000000-2200000011-1-1−3−3330000
χ21222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−3−333−3−3−3−33333000000000000002-2000000-1-111−3−3330000
χ22222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−3−333−3−3−3−3333300000000000000-2200000011-1-133−3−30000
χ232222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-20000000000000000000000000000000000000000000000200-2
χ242222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-20000000000000000000000000000000000000000000000-2002
χ252222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-2002200000000000000000000000000002-2000022-2-2000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-200220000000000000000000000000000-220000-2-222000000000000
χ272222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-133−3−3000033−3−333−3−300003333−3−3−3−32-20000-1-111000000000000
χ282222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-133−3−3000033−3−333−3−30000−3−3−3−33333-22000011-1-1000000000000
χ292222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−3−3330000−3−333−3−33300003333−3−3−3−3-22000011-1-1000000000000
χ302222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−3−3330000−3−333−3−3330000−3−3−3−333332-20000-1-111000000000000
χ312-2-222-22222-2-2-2-22-2-2222-2-222-22-2-22-22-22222-2-2-2-22-2002-2000000000000000000000000000000002i−2i000000002i−2i2i−2i0000
χ322-2-222-22222-2-2-2-22-2-2222-2-222-22-2-22-22-22222-2-2-2-22-2002-200000000000000000000000000000000−2i2i00000000−2i2i−2i2i0000
χ332-2-222-222-2-222-2-22-2-22-2-22222-22-2-22-2-22-2-2-2-222222-22-2-222-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ342-2-222-222-2-222-2-22-2-22-2-22222-22-2-22-2-22-2-2-2-222222-2-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ352-2-222-22-1-2-222-2-2-111211-1-1-12-2-111-111-1-2-2112-1-12-112-21-1-11-112-22-2-11-11-11-11000033−3−333−3−30000003−33−3000000000000
χ362-2-222-22-1-2-222-2-2-111211-1-1-12-2-111-111-1-2-2112-1-12-112-21-1-11-112-22-2-11-11-11-110000−3−333−3−333000000−33−33000000000000
χ372-2-222-22-1-2-222-2-2-111211-1-1-12-2-111-111-1-2-2112-1-12-11-221-11-11-1-22-221-11-11-11-1000033−3−333−3−3000000−33−33000000000000
χ382-2-222-22-1-2-222-2-2-111211-1-1-12-2-111-111-1-2-2112-1-12-11-221-11-11-1-22-221-11-11-11-10000−3−333−3−3330000003−33−3000000000000
χ392-2-222-2-1222-2-2112-2-2-122-2-2-1-11211-1-22-2-1-1-1-11111-1100-1100003−3−333−33−3−33−3300000000000000002i−2i0000−i3i3−i3i3−ii−ii0000
χ402-2-222-2-1222-2-2112-2-2-122-2-2-1-11211-1-22-2-1-1-1-11111-1100-1100003−3−333−33−3−33−330000000000000000−2i2i0000i3−i3i3−i3i−ii−i0000
χ412-2-222-2-1222-2-2112-2-2-122-2-2-1-11211-1-22-2-1-1-1-11111-1100-110000−333−3−33−333−33−300000000000000002i−2i0000i3−i3i3−i3−ii−ii0000
χ422-2-222-2-1222-2-2112-2-2-122-2-2-1-11211-1-22-2-1-1-1-11111-1100-110000−333−3−33−333−33−30000000000000000−2i2i0000−i3i3−i3i3i−ii−i0000
χ432-2-222-2-12-2-222112-2-2-1-2-222-1-11211-1-2-221111-1-1-1-1-112-21-12-22-2-11-11-11-11-11-110000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ442-2-222-2-12-2-222112-2-2-1-2-222-1-11211-1-2-221111-1-1-1-1-112-21-12-22-2-11-11-11-11-11-110000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ452-2-222-2-12-2-222112-2-2-1-2-222-1-11211-1-2-221111-1-1-1-1-11-221-1-22-221-11-11-11-11-11-10000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ462-2-222-2-12-2-222112-2-2-1-2-222-1-11211-1-2-221111-1-1-1-1-11-221-1-22-221-11-11-11-11-11-10000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ472-2-22-22222-2-22-2-22-2-2222-2-22-22-2-2-222-222-222-2-2-22-2200-22000000000000000022-2-222-2-2-2-2220000000000000000000000
χ482-2-22-22222-2-22-2-22-2-2222-2-22-22-2-2-222-222-222-2-2-22-2200-220000000000000000-2-222-2-22222-2-20000000000000000000000
χ492-2-22-2222-222-2-2-22-2-22-2-2222-22-2-2-2222-2-22-2-2222-2-22002-2000000000000000000000000000000000000000000000002-20
χ502-2-22-2222-222-2-2-22-2-22-2-2222-22-2-2-2222-2-22-2-2222-2-22002-200000000000000000000000000000000000000000000000-220
χ512-2-22-222-12-2-22-2-2-1112-1-111-1-22111-1-11-12-2-1-1-21121-1001-13−3−3300003−3−333−3−3322-2-2-1-11111-1-1000000−333−3000000000000
χ522-2-22-222-12-2-22-2-2-1112-1-111-1-22111-1-11-12-2-1-1-21121-1001-13−3−3300003−3−333−3−33-2-22211-1-1-1-1110000003−3−33000000000000
χ532-2-22-222-12-2-22-2-2-1112-1-111-1-22111-1-11-12-2-1-1-21121-1001-1−333−30000−333−3−333−322-2-2-1-11111-1-10000003−3−33000000000000
χ542-2-22-222-12-2-22-2-2-1112-1-111-1-22111-1-11-12-2-1-1-21121-1001-1−333−30000−333−3−333−3-2-22211-1-1-1-111000000−333−3000000000000
χ554444444-2-4-4-4-444-2-2-242222-244-2-2-2-2-222-4-422-422-4-2-2002200000000000000000000000000000000000000000000000000
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
χ604444-4-44-24-44-444-2-2-24-2-2-2-2-2-4-42-2-2-22224-4-2-24-2-2-422002200000000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-2-2444-24444-222-4-2-2-2-4-4-4-22-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-2444-2-4-4-4-4-222-4-2-2-2-4442-222222-22200-2-200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2211-2112-1-100-1-10000000033-3-3-3-3330000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2211-2112-1-100-1-100000000-3-33333-3-30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-1-12-1-1-2-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-1-12-1-1-2-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
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
χ6944-4-4004-200004-42-22-423−2323−23-2000-2220000023−23023−23000000000000000000000002-22-2−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000
χ7044-4-4004-200004-42-22-423−2323−23-2000-2220000023−23023−2300000000000000000000000-22-221+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000
χ7144-4-4004-200004-42-22-4−2323−2323-2000-22200000−23230−2323000000000000000000000002-22-2−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000
χ7244-4-4004-200004-42-22-4−2323−2323-2000-22200000−23230−232300000000000000000000000-22-221−3−1+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
χ754-44-4004-20000-4422-2-423−23−2323-20002-220000023−230−2323000000000000000000000002-2-22−1−31+31+3−1−31−3−1+3−1+31−30000000000000000000000
χ764-44-4004-20000-4422-2-423−23−2323-20002-220000023−230−232300000000000000000000000-222-21+3−1−3−1−31+3−1+31−31−3−1+30000000000000000000000
χ774-44-4004-20000-4422-2-4−232323−23-20002-2200000−2323023−23000000000000000000000002-2-22−1+31−31−3−1+31+3−1−3−1−31+30000000000000000000000
χ784-44-4004-20000-4422-2-4−232323−23-20002-2200000−2323023−2300000000000000000000000-222-21−3−1+3−1+31−3−1−31+31+3−1−30000000000000000000000
χ794-4-444-44-244-4-4-4-4-2224-2-222-24-4-222-22-2244-2-2-422-4-2200-2200000000000000000000000000000000000000000000000000
χ804-4-444-4-2-244-4-422-222-2-2-2221-22-2-1-112-22-2-2112-1-121-1001-1000023−23−2323−33−333−33−30000000000000000000000000000000000
χ814-4-444-4-2-244-4-422-222-2-2-2221-22-2-1-112-22-2-2112-1-121-1001-10000−232323−233−33−3−33−330000000000000000000000000000000000
χ824-4-444-4-2-2-4-44422-222-222-2-21-22-2-1-1122-222-1-1-211-21-14-4-11-22-22-22-221-11-11-11-10000000000000000000000000000000000
χ834-4-444-4-2-2-4-44422-222-222-2-21-22-2-1-1122-222-1-1-211-21-1-44-112-22-22-22-2-11-11-11-110000000000000000000000000000000000
χ844-4-44-444-2-444-4-4-4-222422-2-2-2-44222-2-2-22-44224-2-2-42-200-2200000000000000000000000000000000000000000000000000
χ854-4-44-44-244-4-44224-4-4-244-4-4-22-2-422-24-44-22-2-2222-22-2002-200000000000000000000000000000000000000000000000000
χ864-4-44-44-24-444-4224-4-4-2-4-444-22-2-422-244-42-222-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-4422-222-2-2-22212-22-1-11-22-2-22112-1-1-2-1100-1123−23−23230000−333−3−333−30000000000000000000000000000000000
χ884-4-44-44-2-24-4-4422-222-2-2-22212-22-1-11-22-2-22112-1-1-2-1100-11−232323−2300003−3−333−3−330000000000000000000000000000000000
χ894-4-44-44-2-2-444-422-222-222-2-212-22-1-11-2-222-2-1-1-2112-11001-1000000003-3-33-333-30000000000000000000000000000000000
χ904-4-44-44-2-2-444-422-222-222-2-212-22-1-11-2-222-2-1-1-2112-11001-100000000-333-33-3-330000000000000000000000000000000000
χ9188-8-800-480000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-44443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-444-444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-8840000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-44−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000

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