Finite Group Databasebeta

← Group #11793910

Character table — Group #11793910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212888824242424242424242224666666881212242424248888
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000002i−2i00
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000−2i2i00
χ112222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ122222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ132222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ142222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ15222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-1000022-1-1-1-1-1-10000
χ16222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2110000-2-21111110000
χ17222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-1111111110000000000000022-1-10000-2-2-1-111110000
χ18222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-11111111100000000000000-2-21100002211-1-1-1-10000
χ192222-2-2222-2-2222-2-2-2-222222-2-22-2-2-2-22222-22-2-2-22000000000022-2-200000000000000000000002-222000000-2-200000000
χ202222-2-2222-2-2222-2-2-2-222222-2-22-2-2-2-22222-22-2-2-22000000000022-2-20000000000000000000000-22-2-20000002200000000
χ212222-2-222-222-222-2-2-2-222222-2-22-2-2-2-222-2-22-2222-20000000000-2-2220000000022-2-22222-2-2-2-20000000000000000000000
χ222222-2-222-222-222-2-2-2-222222-2-22-2-2-2-222-2-22-2222-20000000000-2-22200000000-2-222-2-2-2-222220000000000000000000000
χ232222-2-22-1-222-22-11111-12-12-1-2-2-11111-1-111-1-222-1-2000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i322-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ242222-2-22-1-222-22-11111-12-12-1-2-2-11111-1-111-1-222-1-2000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i3-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ252222-2-22-1-222-22-11111-12-12-1-2-2-11111-1-111-1-222-1-2000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i322-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ262222-2-22-1-222-22-11111-12-12-1-2-2-11111-1-111-1-222-1-2000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i3-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ272222-2-2-122-2-22-12-2-2-2-22-12-1-111-11111-1-122-2-111-2-100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3000000000000002-2-1-100000011−i3−i3i3i30000
χ282222-2-2-122-2-22-12-2-2-2-22-12-1-111-11111-1-122-2-111-2-100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i300000000000000-2211000000-1-1i3i3−i3−i30000
χ292222-2-2-122-2-22-12-2-2-2-22-12-1-111-11111-1-122-2-111-2-100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3000000000000002-2-1-100000011i3i3−i3−i30000
χ302222-2-2-122-2-22-12-2-2-2-22-12-1-111-11111-1-122-2-111-2-100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i300000000000000-2211000000-1-1−i3−i3i3i30000
χ312-2-222-22222-2-2-2-222-2-22-2-2222-2-222-2-22-22-2-222-22-200000000002-22-20000000000000000000000000000002i−2i002i−2i2i−2i0000
χ322-2-222-22222-2-2-2-222-2-22-2-2222-2-222-2-22-22-2-222-22-200000000002-22-2000000000000000000000000000000−2i2i00−2i2i−2i2i0000
χ332-2-222-222-2-222-2-222-2-22-2-2222-2-222-2-22-2-222-2-22-220000000000-22-22000000000000000000002-200002-22-2000000000000
χ342-2-222-222-2-222-2-222-2-22-2-2222-2-222-2-22-2-222-2-22-220000000000-22-2200000000000000000000-220000-22-22000000000000
χ352-2-222-22-1-2-222-21-1-111-1-212-12-21-1-111-111-1-1-2-22120000003−33−31-11-13−33−33−33−3000033−3−333−3−32-20000-11-11000000000000
χ362-2-222-22-1-2-222-21-1-111-1-212-12-21-1-111-111-1-1-2-22120000003−33−31-11-13−33−33−33−30000−3−333−3−333-2200001-11-1000000000000
χ372-2-222-22-1-2-222-21-1-111-1-212-12-21-1-111-111-1-1-2-2212000000−33−331-11-1−33−33−33−33000033−3−333−3−3-2200001-11-1000000000000
χ382-2-222-22-1-2-222-21-1-111-1-212-12-21-1-111-111-1-1-2-2212000000−33−331-11-1−33−33−33−330000−3−333−3−3332-20000-11-11000000000000
χ392-2-222-2-1222-2-21-222-2-221-2-1-1-111-1-111-112-2-2-1-1121003−33−30000-11-113−3−33−333−30000000000000000−i3i300002i−2i−i3i3−ii−ii0000
χ402-2-222-2-1222-2-21-222-2-221-2-1-1-111-1-111-112-2-2-1-1121003−33−30000-11-113−3−33−333−30000000000000000i3−i30000−2i2ii3−i3i−ii−i0000
χ412-2-222-2-1222-2-21-222-2-221-2-1-1-111-1-111-112-2-2-1-112100−33−330000-11-11−333−33−3−330000000000000000−i3i30000−2i2i−i3i3i−ii−i0000
χ422-2-222-2-1222-2-21-222-2-221-2-1-1-111-1-111-112-2-2-1-112100−33−330000-11-11−333−33−3−330000000000000000i3−i300002i−2ii3−i3−ii−ii0000
χ432-2-22-22222-22-2-2-2-2-2222-2-222-22-2-2-2222-22-222-22-2-22i−2i2i−2i−2i2i2i−2i−2i2i2-2-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ442-2-22-22222-22-2-2-2-2-2222-2-222-22-2-2-2222-22-222-22-2-2−2i2i−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ452-2-22-2222-22-22-2-2-2-2222-2-222-22-2-2-2222-2-22-2-22-2220000000000-222-200000000000000000000000000000000000000002-2
χ462-2-22-2222-22-22-2-2-2-2222-2-222-22-2-2-2222-2-22-2-22-2220000000000-222-20000000000000000000000000000000000000000-22
χ472-2-22-222-12-22-2-2111-1-1-1-212-1-22111-1-1-11-11-12-221-22i−2i2i−2i−2i2i−iii−i-111-1−ii−iii−ii−i000033−3−3−3−333000000−i3i3i3−i3000000000000
χ482-2-22-222-12-22-2-2111-1-1-1-212-1-22111-1-1-11-11-12-221-22i−2i2i−2i−2i2i−iii−i-111-1−ii−iii−ii−i0000−3−33333−3−3000000i3−i3−i3i3000000000000
χ492-2-22-222-12-22-2-2111-1-1-1-212-1-22111-1-1-11-11-12-221-2−2i2i−2i2i2i−2ii−i−ii-111-1i−ii−i−ii−ii000033−3−3−3−333000000i3−i3−i3i3000000000000
χ502-2-22-222-12-22-2-2111-1-1-1-212-1-22111-1-1-11-11-12-221-2−2i2i−2i2i2i−2ii−i−ii-111-1i−ii−i−ii−ii0000−3−33333−3−3000000−i3i3i3−i3000000000000
χ512-2-22-22-122-22-21-2-2-22221-2-1-11-1111-1-1-112-22-11-1-212i−2i−iii−i2i−2i−2i2i-111-1−ii−iii−ii−i0000000000000000−i3i3000000i3−i33−3−330000
χ522-2-22-22-122-22-21-2-2-22221-2-1-11-1111-1-1-112-22-11-1-212i−2i−iii−i2i−2i−2i2i-111-1−ii−iii−ii−i0000000000000000i3−i3000000−i3i3−333−30000
χ532-2-22-22-122-22-21-2-2-22221-2-1-11-1111-1-1-112-22-11-1-21−2i2ii−i−ii−2i2i2i−2i-111-1i−ii−i−ii−ii0000000000000000−i3i3000000i3−i3−333−30000
χ542-2-22-22-122-22-21-2-2-22221-2-1-11-1111-1-1-112-22-11-1-21−2i2ii−i−ii−2i2i2i−2i-111-1i−ii−i−ii−ii0000000000000000i3−i3000000−i3i33−3−330000
χ554444444-2-4-4-4-44-2-2-2-2-2-24-24-244-2-2-2-2-2-2-2222-4-4-42-400000000002222000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2444444-24-2-2-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000002222000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-133-3-3-3-3330000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-1-3-33333-3-30000000000000000000000000000000000
χ614444-4-44-24-4-444-22222-24-24-2-4-4-22222-2-2-2-224-4-4240000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-24-4-4-4-44-24-2-222-22222-2-2-4-442-2-242000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-22222-2-2-2-21221-1-1-1-111-2-22-2222-200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-22222-2-2-2-21221-1-1-1-111-2-22-2222-2002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-22222-2-2-2-21221-1-1-1-11122-22-2-2-22000000−2i3−2i32i32i3-1-111i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-22222-2-2-2-21221-1-1-1-11122-22-2-2-220000002i32i3−2i3−2i3-1-111−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ6744-4-400440000440000-4-4-4-440040000-4-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ6844-4-400440000440000-4-4-4-440040000-4-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ6944-4-4004-200004-2−2i32i3−2i32i32-42-4-200-2−2i32i3−2i32i32200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ7044-4-4004-200004-2−2i32i3−2i32i32-42-4-200-2−2i32i3−2i32i322000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ7144-4-4004-200004-22i3−2i32i3−2i32-42-4-200-22i3−2i32i3−2i32200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ7244-4-4004-200004-22i3−2i32i3−2i32-42-4-200-22i3−2i32i3−2i322000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ734-44-400440000-4-40000-444-4400-40000-4400000000000000000000000000000022−220022−22−222200000000000000000000000000
χ744-44-400440000-4-40000-444-4400-40000-44000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ754-44-4004-20000-42−2i32i32i3−2i324-2-4-2002−2i32i32i3−2i32-200000000000000000000000000000022−2200−222−2i6−i6−i6i60000000000000000000000
χ764-44-4004-20000-42−2i32i32i3−2i324-2-4-2002−2i32i32i3−2i32-2000000000000000000000000000000−2222002−2−22−i6i6i6−i60000000000000000000000
χ774-44-4004-20000-422i3−2i3−2i32i324-2-4-20022i3−2i3−2i32i32-200000000000000000000000000000022−2200−222−2−i6i6i6−i60000000000000000000000
χ784-44-4004-20000-422i3−2i3−2i32i324-2-4-20022i3−2i3−2i32i32-2000000000000000000000000000000−2222002−2−22i6−i6−i6i60000000000000000000000
χ794-4-444-44-244-4-4-42-2-222-2-424-24-42-2-222-22-22244-4-2-40000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-4-24-4-4442-444-4-442-4-2-2-222-2-222-22-44422-2-4-200000000002-22-2000000000000000000000000000000000000000000
χ814-4-444-4-2-244-4-422-2-222-222-21-22-111-1-11-1-222-2-22-220023−2323−2300001-11-1−333−33−3−330000000000000000000000000000000000
χ824-4-444-4-2-244-4-422-2-222-222-21-22-111-1-11-1-222-2-22-2200−2323−232300001-11-13−3−33−333−30000000000000000000000000000000000
χ834-4-444-4-2-2-4-44422-2-222-222-21-22-111-1-11-12-2-222-22-200000023−2323−23-11-11−33−33−33−330000000000000000000000000000000000
χ844-4-444-4-2-2-4-44422-2-222-222-21-22-111-1-11-12-2-222-22-2000000−2323−2323-11-113−33−33−33−30000000000000000000000000000000000
χ854-4-44-444-2-44-44-4222-2-2-2-424-2-44222-2-2-222-22-44-4-2400000000002-2-22000000000000000000000000000000000000000000
χ864-4-44-44-24-44-442-4-4-44442-4-2-22-2222-2-2-22-44-42-224-200000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-44-42222-2-2-222-212-2-1-1-1111-1-22-2-22-2224i−4i−2i2i2i−2i−2i2i2i−2i1-1-11i−ii−i−ii−ii0000000000000000000000000000000000
χ884-4-44-44-2-24-44-42222-2-2-222-212-2-1-1-1111-1-22-2-22-222−4i4i2i−2i−2i2i2i−2i−2i2i1-1-11−ii−iii−ii−i0000000000000000000000000000000000
χ894-4-44-44-2-2-44-442222-2-2-222-212-2-1-1-1111-12-222-22-2-20000000000-111-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ904-4-44-44-2-2-44-442222-2-2-222-212-2-1-1-1111-12-222-22-2-20000000000-111-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ9188-8-800-480000-480000-84-84-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-4−4i34i3−4i34i3444420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-4-44i3−4i34i3−4i344442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-80000-8-484-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044−4i34i34i3−4i34-4-44200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444i3−4i3−4i34i34-4-44200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

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