Finite Group Databasebeta

← Group #11793903

Character table — Group #11793903

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424248888242424242424242424446688121212121212242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000−2i2i
χ112222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ122222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ132222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111100000000000022-2-2-1-100-1-1111100000000
χ142222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-222110011-1-1-1-100000000
χ15222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ16222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ17222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ18222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111100000022000000-1-1-1-10000
χ192222-2-2222-22-222222222222-2-2-2-2222-22-2-222222-2-2-200-2-200000000000000000000000000002-2002200-2-2000000000000
χ202222-2-2222-22-222222222222-2-2-2-2222-22-2-222222-2-2-200-2-20000000000000000000000000000-2200-2-20022000000000000
χ212222-2-222-22-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-20022000000000000000022-2-22222-2-2-2-20000000000000000000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-200220000000000000000-2-222-2-2-2-222220000000000000000000000
χ232222-2-22-12-22-222-12-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000000000002-200-1-10011−i3−i3i3i300000000
χ242222-2-22-12-22-222-12-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000-22001100-1-1i3i3−i3−i300000000
χ252222-2-22-12-22-222-12-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000002-200-1-10011i3i3−i3−i300000000
χ262222-2-22-12-22-222-12-1-12222-1-2-211-1-1-1-2-111-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000-22001100-1-1−i3−i3i3i300000000
χ272222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-22211-211-11100-1-133−3−3000033−3−333−3−322-2-2-1-1-1-111110000000000000033−3−30000
χ282222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-22211-211-11100-1-133−3−3000033−3−333−3−3-2-2221111-1-1-1-100000000000000−3−3330000
χ292222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-22211-211-11100-1-1−3−3330000−3−333−3−33322-2-2-1-1-1-1111100000000000000−3−3330000
χ302222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-22211-211-11100-1-1−3−3330000−3−333−3−333-2-2221111-1-1-1-10000000000000033−3−30000
χ312-22-22-22222-2-2-2-2-222-222-2-222-22-2-2-22-222-222-2-2-222-22i−2i2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ322-22-22-22222-2-2-2-2-222-222-2-222-22-2-2-22-222-222-2-2-222-2−2i2i2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ332-22-22-222-2-222-2-2-222-2-2-22222-22-2-2-222-2-22-2-2222-22-200-2200000000000000000000000000000000000000000000002-200
χ342-22-22-222-2-222-2-2-222-2-2-22222-22-2-2-222-2-22-2-2222-22-200-220000000000000000000000000000000000000000000000-2200
χ352-22-22-22-122-2-2-2-212-1122-2-2-12-2-1111-1-2-1-11-1-11112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000−i3i300−i3i33−33−300000000
χ362-22-22-22-122-2-2-2-212-1122-2-2-12-2-1111-1-2-1-11-1-11112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000i3−i300i3−i3−33−3300000000
χ372-22-22-22-122-2-2-2-212-1122-2-2-12-2-1111-1-2-1-11-1-11112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000−i3i300−i3i3−33−3300000000
χ382-22-22-22-122-2-2-2-212-1122-2-2-12-2-1111-1-2-1-11-1-11112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000i3−i300i3−i33−33−300000000
χ392-22-22-2-1222-2-211-2-12-2-1-111-1-112-211-1122-2-1-1-211-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000−i3−i3i3i3−i3−i3i3i3000000000000003−33−30000
χ402-22-22-2-1222-2-211-2-12-2-1-111-1-112-211-1122-2-1-1-211-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000i3i3−i3−i3i3i3−i3−i300000000000000−33−330000
χ412-22-22-2-1222-2-211-2-12-2-1-111-1-112-211-1122-2-1-1-211-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000−i3−i3i3i3−i3−i3i3i300000000000000−33−330000
χ422-22-22-2-1222-2-211-2-12-2-1-111-1-112-211-1122-2-1-1-211-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000i3i3−i3−i3i3i3−i3−i3000000000000003−33−30000
χ432-22-2-22222-2-22-2-2-222-222-2-22-22-22-2-2222-2222-2-2-2-2-2200-220000000000000000000000000000002i−2i0000002i−2i−2i2i00000000
χ442-22-2-22222-2-22-2-2-222-222-2-22-22-22-2-2222-2222-2-2-2-2-2200-22000000000000000000000000000000−2i2i000000−2i2i2i−2i00000000
χ452-22-2-2222-222-2-2-2-222-2-2-2222-22-22-2-22-2-22-2-2-22222-22002-200000000000000000000000000000000002-20000002-2-220000
χ462-22-2-2222-222-2-2-2-222-2-2-2222-22-22-2-22-2-22-2-2-22222-22002-20000000000000000000000000000000000-22000000-222-20000
χ472-22-2-222-12-2-22-2-212-1122-2-2-1-221-111-12-11-1-1-1111-21-1001-100003−3−333−33−3−33−33000000000000002i−2i−i3i300i3−i3−iii−i00000000
χ482-22-2-222-12-2-22-2-212-1122-2-2-1-221-111-12-11-1-1-1111-21-1001-100003−3−333−33−3−33−3300000000000000−2i2ii3−i300−i3i3i−i−ii00000000
χ492-22-2-222-12-2-22-2-212-1122-2-2-1-221-111-12-11-1-1-1111-21-1001-10000−333−3−33−333−33−3000000000000002i−2ii3−i300−i3i3−iii−i00000000
χ502-22-2-222-12-2-22-2-212-1122-2-2-1-221-111-12-11-1-1-1111-21-1001-10000−333−3−33−333−33−300000000000000−2i2i−i3i300i3−i3i−i−ii00000000
χ512-22-2-22-12-222-211-2-12-211-1-1-11-1-2211-11-22-2112-1-1-11-100-11−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i30000002-2000000-111-10000
χ522-22-2-22-12-222-211-2-12-211-1-1-11-1-2211-11-22-2112-1-1-11-100-11−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i30000i3i3−i3−i3−i3−i3i3i3000000-220000001-1-110000
χ532-22-2-22-12-222-211-2-12-211-1-1-11-1-2211-11-22-2112-1-1-11-100-11i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i30000−i3−i3i3i3i3i3−i3−i3000000-220000001-1-110000
χ542-22-2-22-12-222-211-2-12-211-1-1-11-1-2211-11-22-2112-1-1-11-100-11i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i30000002-2000000-111-10000
χ554444444-2-4-4-4-444-24-2-2-4-4-4-4-244-2-2-2-2-2-422222222-4-2-2002200000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-24-2442222-2-2-244-2-2-22-4-4-422-4222-2-2002200000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-121100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-121100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-4-44-2-44-4444-24-2-2-4-4-4-4-2-4-422-2-2-242-2-22222242200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-24-244-2-2-2-2-222-4-4-2-2-224-4-4-2-24-2-2222002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-2122221112-22211-2112-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-2122221112-22211-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-22-2-2-1-12-1-1-2-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-22-2-2-1-12-1-1-2-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ6744-4-4004400004-44-4-4-40000400004-4-40000000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ6844-4-4004400004-44-4-4-40000400004-4-400000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ6944-4-400-240000-2242-4-423−2323−23-20000-222000023−23023−230000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i20000000000000000000000
χ7044-4-400-240000-2242-4-423−2323−23-20000-222000023−23023−2300000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i20000000000000000000000
χ7144-4-400-240000-2242-4-4−2323−2323-20000-2220000−23230−23230000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i20000000000000000000000
χ7244-4-400-240000-2242-4-4−2323−2323-20000-2220000−23230−232300000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i20000000000000000000000
χ734-44-44-44-2-4-444-4-424-22-4-444-24-4-2222-2422-222-2-2-2-4-22002-200000000000000000000000000000000000000000000000000
χ744-44-44-4-24-4-44422-4-24-422-2-2-2-224-422-2-2-4-44224-2-22-22002-200000000000000000000000000000000000000000000000000
χ754-44-44-4-2-244-4-4222-2-22-2-2221-22-22-1-112-2-22112-1-1-21-14i−4i1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000000000
χ764-44-44-4-2-244-4-4222-2-22-2-2221-22-22-1-112-2-22112-1-1-21-1−4i4i1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000000000
χ774-44-44-4-2-2-4-444222-2-2222-2-21-22-22-1-11-222-2-1-1-21121-100-11000000003-3-33-333-30000000000000000000000000000000000
χ784-44-44-4-2-2-4-444222-2-2222-2-21-22-22-1-11-222-2-1-1-21121-100-1100000000-333-33-3-330000000000000000000000000000000000
χ794-44-4-444-2-444-4-4-424-22-4-444-2-442-222-2-42-2222-2-2-242-200-2200000000000000000000000000000000000000000000000000
χ804-44-4-44-244-4-4422-4-24-4-2-222-22-2-4422-2-24-44-2-2-42222-2002-200000000000000000000000000000000000000000000000000
χ814-44-4-44-2-24-4-44222-2-22-2-22212-22-2-1-11-2-22-2112-1-12-1100-11000023−23−2323−33−333−33−30000000000000000000000000000000000
χ824-44-4-44-2-24-4-44222-2-22-2-22212-22-2-1-11-2-22-2112-1-12-1100-110000−232323−233−33−3−33−330000000000000000000000000000000000
χ834-44-4-44-2-2-444-4222-2-2222-2-212-22-2-1-1122-22-1-1-211-2-11001-1−2i32i32i3−2i30000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ844-44-4-44-2-2-444-4222-2-2222-2-212-22-2-1-1122-22-1-1-211-2-11001-12i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ854-4-4400440000-44-4-4-44000040000-44-40000000000000000000000000000000022−220022−22−222200000000000000000000000000
χ864-4-4400440000-44-4-4-44000040000-44-400000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ874-4-4400-2400002-2-42-4423−23−2323-200002-22000023−230−23230000000000000000000000022−2200−222−26−6−660000000000000000000000
χ884-4-4400-2400002-2-42-4423−23−2323-200002-22000023−230−232300000000000000000000000−2222002−2−22−666−60000000000000000000000
χ894-4-4400-2400002-2-42-44−232323−23-200002-220000−2323023−230000000000000000000000022−2200−222−2−666−60000000000000000000000
χ904-4-4400-2400002-2-42-44−232323−23-200002-220000−2323023−2300000000000000000000000−2222002−2−226−6−660000000000000000000000
χ9188-8-8008-400008-8-4-8440000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44-4444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-884-84-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-4−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000

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