Finite Group Databasebeta

← Group #11872862

Character table — Group #11872862

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242224448812121212121212121212124466681212121224242424224488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-1-11-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-111111-111-1-1-1-1-111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-11-11-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111111-1-1-111-1-1-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-11-1-11111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-111-111111-1-1-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1111-1-1111111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-11-1111-111-1-1-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-20000-2-2-2-222000000020000000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-220000-2-222220000000-200000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-2000022-2-2-2-20000000200000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2200002222-2-20000000-20000000000000-220000
χ2122222-1222-1-12-12-122-1-1-1-12-1222222222-1-1-1-1-1-122-1-1-1-1-1-122000000-1-100-1-12-1-1-1-1200-1-12-1-100-1-10000000000
χ2222222-1222-1-12-12-122-1-1-1-12-122222-2-22211-1-1-1-1-2-211111122000000-1-100-1-1-2-1-111-200-1-1-21100110000000000
χ2322222-1222-1-12-12-122-1-1-1-12-12-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-20000001100112-1-1-1-1-20011-21100110000000000
χ2422222-1222-1-12-12-122-1-1-1-12-12-2-2-2-2-2-22211-1-1-1-1-2-2111111-2-2000000110011-2-1-111200112-1-100-1-10000000000
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-1222222-2-2-2-1-111-1-1-2-2111111-2-2000000-1-100-1-1211-1-120011-2-1-100110000000000
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-122222-22-2-21111-1-122-1-1-1-1-1-1-2-2000000-1-100-1-1-21111-2001121100-1-10000000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-12-2-2-2-22-2-2-2-1-111-1-1-2-211111122000000110011211-1-1-200-1-121100-1-10000000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-12-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-122000000110011-21111200-1-1-2-1-100110000000000
χ292222-1222-122-12-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-10022222200-1-100-1-1-1-1-102-100000-1-100-1-1000000-10
χ302222-1222-122-12-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-10-210000011001100000010
χ312222-1222-122-12-1-122-1-1-12-12-10000-2-2-1-1-2-222-1-111-2-21111002222-2-200-1-1001-1-1110-2-100000-1-1001100000010
χ322222-1222-122-12-1-122-1-1-12-12-10000-2-2-1-1-2-222-1-111-2-2111100-2-2-2-2220011001-1-111021000001100-1-1000000-10
χ332222-1222-122-12-1-1-2-2-1-1-12-12-100002-21122-2-2-1-111-2-211110022-2-2-2-200-1-100-111-1-102-100000110011000000-10
χ342222-1222-122-12-1-1-2-2-1-1-12-12-100002-21122-2-2-1-111-2-2111100-2-22222001100-111-1-10-2100000-1-100-1-100000010
χ352222-1222-122-12-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-10022-2-22200-1-100111110-2-1000001100-1-100000010
χ362222-1222-122-12-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-100-2-222-2-20011001111102100000-1-10011000000-10
χ372-22-2222-2-22-22-2-222i−2i-2-22-2-2222i−2i2i−2i002i−2i002i−2i2-2000000002-20000002i−2i002i−2i02i−2i000002-200000000000000000
χ382-22-2222-2-22-22-2-222i−2i-2-22-2-222−2i2i−2i2i002i−2i002i−2i2-200000000-22000000−2i2i00−2i2i02i−2i00000-2200000000000000000
χ392-22-2222-2-22-22-2-22−2i2i-2-22-2-2222i−2i2i−2i00−2i2i00−2i2i2-200000000-220000002i−2i002i−2i0−2i2i00000-2200000000000000000
χ402-22-2222-2-22-22-2-22−2i2i-2-22-2-222−2i2i−2i2i00−2i2i00−2i2i2-2000000002-2000000−2i2i00−2i2i0−2i2i000002-200000000000000000
χ412-22-222-22-22-22-2-2200-2-2222-2-22i−2i−2i2i00000000-220000000000002i−2i00−2i2i002i−2i00000000000002i−2i00002-2000000
χ422-22-222-22-22-22-2-2200-2-2222-2-22i−2i−2i2i00000000-22000000000000−2i2i00−2i2i002i−2i0000000000000−2i2i0000-22000000
χ432-22-222-22-22-22-2-2200-2-2222-2-2−2i2i2i−2i00000000-220000000000002i−2i002i−2i00−2i2i00000000000002i−2i0000-22000000
χ442-22-222-22-22-22-2-2200-2-2222-2-2−2i2i2i−2i00000000-22000000000000−2i2i002i−2i00−2i2i0000000000000−2i2i00002-2000000
χ452-22-22-12-2-2-1121-2-12i−2i11-11-2-122i−2i2i−2i002i−2i−i3i3−ii-11003−333−3−32-2000000−ii00−ii0−ii−i3i3000-1103−300−i3i30000000000
χ462-22-22-12-2-2-1121-2-12i−2i11-11-2-122i−2i2i−2i002i−2ii3−i3−ii-1100−33−3−3332-2000000−ii00−ii0−iii3−i3000-110−3300i3−i30000000000
χ472-22-22-12-2-2-1121-2-12i−2i11-11-2-12−2i2i−2i2i002i−2i−i3i3−ii-11003−333−3−3-22000000i−i00i−i0−ii−i3i30001-10−3300i3−i30000000000
χ482-22-22-12-2-2-1121-2-12i−2i11-11-2-12−2i2i−2i2i002i−2ii3−i3−ii-1100−33−3−333-22000000i−i00i−i0−iii3−i30001-103−300−i3i30000000000
χ492-22-22-12-2-2-1121-2-1−2i2i11-11-2-122i−2i2i−2i00−2i2i−i3i3i−i-1100−33−3−333-22000000−ii00−ii0i−i−i3i30001-103−300i3−i30000000000
χ502-22-22-12-2-2-1121-2-1−2i2i11-11-2-122i−2i2i−2i00−2i2ii3−i3i−i-11003−333−3−3-22000000−ii00−ii0i−ii3−i30001-10−3300−i3i30000000000
χ512-22-22-12-2-2-1121-2-1−2i2i11-11-2-12−2i2i−2i2i00−2i2i−i3i3i−i-1100−33−3−3332-2000000i−i00i−i0i−i−i3i3000-110−3300−i3i30000000000
χ522-22-22-12-2-2-1121-2-1−2i2i11-11-2-12−2i2i−2i2i00−2i2ii3−i3i−i-11003−333−3−32-2000000i−i00i−i0i−ii3−i3000-1103−300i3−i30000000000
χ5344444-2-4-44-2-24-24-200-2-2-22-42-444-4-4000000002200000000000000002200-2-2000000000000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-42-4-4-44400000000220000000000000000-2-20022000000000000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-42-420000000000002200000000004-400000022000000000-20000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-2-42-42000000000000220000000000-44000000-2-200000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-4-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-444004-4-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-44-2-44-4-2242-4-20022-2-242-44i−4i−4i4i000000002-200000000000000002i−2i00−2i2i000000000000000000000000000
χ644-44-44-2-44-4-2242-4-20022-2-242-4−4i4i4i−4i000000002-20000000000000000−2i2i002i−2i000000000000000000000000000
χ654-44-4-244-424-4-2-42-24i−4i22-2-424-2000000−2i2i004i−4i-2200000000000000000000000−2i2i000000000000000000000000
χ664-44-4-244-424-4-2-42-2−4i4i22-2-424-20000002i−2i00−4i4i-22000000000000000000000002i−2i000000000000000000000000
χ674-44-4-24-4424-4-2-42-20022-24-2-420000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ684-44-4-24-4424-4-2-42-20022-24-2-420000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ694-44-4-2-24-42-22-22214i−4i-1-1122-2-2000000−2i2i−2i32i3−2i2i1-10023−23−3−333000000000000000i−ii3−i30000000000000000000000
χ704-44-4-2-24-42-22-22214i−4i-1-1122-2-2000000−2i2i2i3−2i3−2i2i1-100−232333−3−3000000000000000i−i−i3i30000000000000000000000
χ714-44-4-2-24-42-22-2221−4i4i-1-1122-2-20000002i−2i−2i32i32i−2i1-100−232333−3−3000000000000000−iii3−i30000000000000000000000
χ724-44-4-2-24-42-22-2221−4i4i-1-1122-2-20000002i−2i2i3−2i32i−2i1-10023−23−3−333000000000000000−ii−i3i30000000000000000000000
χ734-4-444400-4-44-4-444004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ744-4-444400-4-44-4-444004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ754-4-44-24002-442-4-2-200-222000000000000000000i6−i600i6−i6i6−i6000000−2i22i20023−230000000000000000000i2−i200000000
χ764-4-44-24002-442-4-2-200-222000000000000000000i6−i600i6−i6i6−i60000002i2−2i200−23230000000000000000000−i2i200000000
χ774-4-44-24002-442-4-2-200-222000000000000000000−i6i600−i6i6−i6i6000000−2i22i200−23230000000000000000000i2−i200000000
χ784-4-44-24002-442-4-2-200-222000000000000000000−i6i600−i6i6−i6i60000002i2−2i20023−230000000000000000000−i2i200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400844-8-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-4-8-8484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-44200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-400-4444-44200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-4-4-884-44-444200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000
χ858-8-888-400-84-4-848-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42002-2-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42002-2-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000

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