Finite Group Databasebeta

← Group #11793909

Character table — Group #11793909

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666666663666666666121212121212121244121212121212121212121212121212121212121288882424242424242424226666888824242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000002i−2i002i2i−2i−2i00000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000−2i2i00−2i−2i2i2i00000000
χ112222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ122222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211110000000000000000
χ132222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ142222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-21111111122-1-1-1-10000000000000000
χ15222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ16222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ17222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-11111111100000000000000000022-2-2-1-1-1-111110000
χ18222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-111111111000000000000000000-2-2221111-1-1-1-10000
χ19222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000000000000000002i−2i00−i−iii33−3−30000
χ20222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i3000000000000000000−2i2i00ii−i−i−3−3330000
χ21222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000000000000000002i−2i00−i−iii−3−3330000
χ22222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i3000000000000000000−2i2i00ii−i−i33−3−30000
χ232222-2-2222-2-2222-2-2-2-222222-2-22-2-2-2-2222-222-22-2-2000000000022-2-2000000000000000000000000000000000000002-200
χ242222-2-2222-2-2222-2-2-2-222222-2-22-2-2-2-2222-222-22-2-2000000000022-2-200000000000000000000000000000000000000-2200
χ252222-2-222-222-222-2-2-2-222222-2-22-2-2-2-222-22-2-22-2220000000000-2-2220000000022-2-22222-2-2-2-20000000000000000000000
χ262222-2-222-222-222-2-2-2-222222-2-22-2-2-2-222-22-2-22-2220000000000-2-22200000000-2-222-2-2-2-222220000000000000000000000
χ272222-2-22-1-222-22-111112-12-1-1-2-2-11111-1-1-2211-1-22-1000000−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-1111100−i3−i3i3i30000000000000000
χ282222-2-22-1-222-22-111112-12-1-1-2-2-11111-1-1-2211-1-22-1000000−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i3-2-2221111-1-1-1-100i3i3−i3−i30000000000000000
χ292222-2-22-1-222-22-111112-12-1-1-2-2-11111-1-1-2211-1-22-1000000i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-1111100i3i3−i3−i30000000000000000
χ302222-2-22-1-222-22-111112-12-1-1-2-2-11111-1-1-2211-1-22-1000000i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-100−i3−i3i3i30000000000000000
χ312-2-222-22222-2-2-2-222-2-222-2-222-2-222-2-22-2222-2-2-2-2200000000002-22-200000000000000000000000000000000000000002i−2i
χ322-2-222-22222-2-2-2-222-2-222-2-222-2-222-2-22-2222-2-2-2-2200000000002-22-20000000000000000000000000000000000000000−2i2i
χ332-2-222-222-2-222-2-222-2-222-2-222-2-222-2-22-2-2-2-22222-20000000000-22-22000000000000000000002-22-22-20000000000000000
χ342-2-222-222-2-222-2-222-2-222-2-222-2-222-2-22-2-2-2-22222-20000000000-22-2200000000000000000000-22-22-220000000000000000
χ352-2-222-22-1-2-222-21-1-1112-1-21-12-21-1-111-11-2-21-1-12210000003−33−31-11-13−33−33−33−3000033−3−333−3−32-2-11-110000000000000000
χ362-2-222-22-1-2-222-21-1-1112-1-21-12-21-1-111-11-2-21-1-12210000003−33−31-11-13−33−33−33−30000−3−333−3−333-221-11-10000000000000000
χ372-2-222-22-1-2-222-21-1-1112-1-21-12-21-1-111-11-2-21-1-1221000000−33−331-11-1−33−33−33−33000033−3−333−3−3-221-11-10000000000000000
χ382-2-222-22-1-2-222-21-1-1112-1-21-12-21-1-111-11-2-21-1-1221000000−33−331-11-1−33−33−33−330000−3−333−3−3332-2-11-110000000000000000
χ392-2-22-22222-22-2-2-2-2-22222-2-22-22-2-2-2222-22-22-22-22-22i−2i2i−2i2i−2i2i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ402-2-22-22222-22-2-2-2-2-22222-2-22-22-2-2-2222-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ412-2-22-2222-22-22-2-2-2-22222-2-22-22-2-2-2222-2-22-22-22-220000000000-222-200000000000000000000000000002-200002-22-20000
χ422-2-22-2222-22-22-2-2-2-22222-2-22-22-2-2-2222-2-22-22-22-220000000000-222-20000000000000000000000000000-220000-22-220000
χ432-2-22-222-12-22-2-2111-1-12-1-21-1-22111-1-1-112-2-11-1-2212i−2i2i−2i2i−2i−iii−i-111-1−iii−i−iii−i000033−3−3−3−33300−i3i3i3−i30000000000000000
χ442-2-22-222-12-22-2-2111-1-12-1-21-1-22111-1-1-112-2-11-1-2212i−2i2i−2i2i−2i−iii−i-111-1−iii−i−iii−i0000−3−33333−3−300i3−i3−i3i30000000000000000
χ452-2-22-222-12-22-2-2111-1-12-1-21-1-22111-1-1-112-2-11-1-221−2i2i−2i2i−2i2ii−i−ii-111-1i−i−iii−i−ii000033−3−3−3−33300i3−i3−i3i30000000000000000
χ462-2-22-222-12-22-2-2111-1-12-1-21-1-22111-1-1-112-2-11-1-221−2i2i−2i2i−2i2ii−i−ii-111-1i−i−iii−i−ii0000−3−33333−3−300−i3i3i3−i30000000000000000
χ472-2-22-22-122-22-21-2-2-222-121-2-11-1111-1-1-11-112-221-1-22i−2i−ii−ii2i−2i−2i2i-111-1−iii−i−iii−i0000000000000000000000−i3i3−i3i33−3−330000
χ482-2-22-22-122-22-21-2-2-222-121-2-11-1111-1-1-11-112-221-1-22i−2i−ii−ii2i−2i−2i2i-111-1−iii−i−iii−i0000000000000000000000i3−i3i3−i3−333−30000
χ492-2-22-22-122-22-21-2-2-222-121-2-11-1111-1-1-11-112-221-1-2−2i2ii−ii−i−2i2i2i−2i-111-1i−i−iii−i−ii0000000000000000000000−i3i3−i3i3−333−30000
χ502-2-22-22-122-22-21-2-2-222-121-2-11-1111-1-1-11-112-221-1-2−2i2ii−ii−i−2i2i2i−2i-111-1i−i−iii−i−ii0000000000000000000000i3−i3i3−i33−3−330000
χ512-2-22-22-12-22-221-2-2-222-121-2-11-1111-1-1-111-1-22-2-112003−3−3300001-1-113−3−33−333−3000000000000000000002-2−333−3-11-110000
χ522-2-22-22-12-22-221-2-2-222-121-2-11-1111-1-1-111-1-22-2-112003−3−3300001-1-113−3−33−333−300000000000000000000-223−3−331-11-10000
χ532-2-22-22-12-22-221-2-2-222-121-2-11-1111-1-1-111-1-22-2-11200−333−300001-1-11−333−33−3−33000000000000000000002-23−3−33-11-110000
χ542-2-22-22-12-22-221-2-2-222-121-2-11-1111-1-1-111-1-22-2-11200−333−300001-1-11−333−33−3−3300000000000000000000-22−333−31-11-10000
χ554444444-2-4-4-4-44-2-2-2-2-24-24-2-244-2-2-2-2-2-2-2-4-4222-4-4200000000002222000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-24-4-444-222224-24-2-2-4-4-22222-2-24-4-2-224-420000000000-2-222000000000000000000000000000000000000000000
χ614444-4-4-244-4-44-24-4-4-4-4-24-24-222-22222-2-2-2244-4-22-40000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-24-4-4-4-4-24-24-222-22222-2-22-2-4-442-24000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-22222-2-2-2-21221-1-1-1-111-22-2-22-222000000000011-1-133-3-3-3-3330000000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-22222-2-2-2-21221-1-1-1-111-22-2-22-222000000000011-1-1-3-33333-3-30000000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-22222-2-2-2-21221-1-1-1-1112-222-22-2-2000000−2i3−2i32i32i3-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-22222-2-2-2-21221-1-1-1-1112-222-22-2-20000002i32i3−2i3−2i3-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ6744-4-400440000440000-4-4-4-440040000-4-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ6844-4-400440000440000-4-4-4-440040000-4-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ6944-4-4004-200004-2−2i32i3−2i32i3-42-42-200-2−2i32i3−2i32i32200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ7044-4-4004-200004-2−2i32i3−2i32i3-42-42-200-2−2i32i3−2i32i322000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ7144-4-4004-200004-22i3−2i32i3−2i3-42-42-200-22i3−2i32i3−2i32200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ7244-4-4004-200004-22i3−2i32i3−2i3-42-42-200-22i3−2i32i3−2i322000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ734-44-400440000-4-40000-4-444400-40000-4400000000000000000000000000000022−220022−22−222200000000000000000000000000
χ744-44-400440000-4-40000-4-444400-40000-44000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ754-44-4004-20000-42−2i32i32i3−2i3-424-2-2002−2i32i32i3−2i32-200000000000000000000000000000022−2200−222−2i6−i6−i6i60000000000000000000000
χ764-44-4004-20000-42−2i32i32i3−2i3-424-2-2002−2i32i32i3−2i32-2000000000000000000000000000000−2222002−2−22−i6i6i6−i60000000000000000000000
χ774-44-4004-20000-422i3−2i3−2i32i3-424-2-20022i3−2i3−2i32i32-200000000000000000000000000000022−2200−222−2−i6i6i6−i60000000000000000000000
χ784-44-4004-20000-422i3−2i3−2i32i3-424-2-20022i3−2i3−2i32i32-2000000000000000000000000000000−2222002−2−22i6−i6−i6i60000000000000000000000
χ794-4-444-44-244-4-4-42-2-2224-2-42-24-42-2-222-2244-222-4-4-20000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-4-2444-4-42-444-4-4-242-4-2-222-2-222-22-2-24-4-42240000000000-22-22000000000000000000000000000000000000000000
χ814-4-444-4-24-4-4442-444-4-4-242-4-2-222-2-222-2222-444-2-2-400000000002-22-2000000000000000000000000000000000000000000
χ824-4-444-4-2-244-4-422-2-222-2-2221-22-111-1-11-1-2-2-22222-200000000001-11-13i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ834-4-444-4-2-244-4-422-2-222-2-2221-22-111-1-11-1-2-2-22222-200000000001-11-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ844-4-444-4-2-2-4-44422-2-222-2-2221-22-111-1-11-1222-2-2-2-2200000023−2323−23-11-11−33−33−33−330000000000000000000000000000000000
χ854-4-444-4-2-2-4-44422-2-222-2-2221-22-111-1-11-1222-2-2-2-22000000−2323−2323-11-113−33−33−33−30000000000000000000000000000000000
χ864-4-44-444-2-44-44-4222-2-24-2-42-2-44222-2-2-22-442-224-4-200000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-44-42222-2-2-2-22212-2-1-1-1111-1-22-22-22-224i−4i−2i2i−2i2i−2i2i2i−2i1-1-11i−i−iii−i−ii0000000000000000000000000000000000
χ884-4-44-44-2-24-44-42222-2-2-2-22212-2-1-1-1111-1-22-22-22-22−4i4i2i−2i2i−2i2i−2i−2i2i1-1-11−iii−i−iii−i0000000000000000000000000000000000
χ894-4-44-44-2-2-44-442222-2-2-2-22212-2-1-1-1111-12-22-22-22-20023−23−23230000-111-1−333−33−3−330000000000000000000000000000000000
χ904-4-44-44-2-2-44-442222-2-2-2-22212-2-1-1-1111-12-22-22-22-200−232323−230000-111-13−3−33−333−30000000000000000000000000000000000
χ9188-8-800-480000-4800004-84-8-400-40000440000000000000000000000000000000000000000000000000000000000000000
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
χ948-88-800-4800004-800004-8-48-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044−4i34i34i3−4i344-4-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444i3−4i3−4i34i344-4-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

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