Finite Group Databasebeta

← Group #11872524

Character table — Group #11872524

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244444812121212121212122424242424242424222444668812121212121212121244668121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-11111-1-1-11-1-111-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-11-1-1-1-11111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-11111-1-1-1-1-11-1-1-11-111-1-111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-1-1111-11111-1-1-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11-1-111-1-1111-111-1-1111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-2220022-2-20000000000-200000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2002-2-20022-2-200000000002000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-22200-2-2220000000000-2000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-200-2-2220000000000200000000-22000000
χ2122222-122-1-1222-1-122-1-1-1-12-12222222-1-122-1-1-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-102-1-12000-1-1-1-10000000000
χ2222222-122-1-1222-1-122-1-1-1-12-122222-2-21122-1-1-1-1-2-21111112200000000-1-1-1-1-2-1-1110-2-1-1-200011110000000000
χ2322222-122-1-1222-1-122-1-1-1-12-12-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-10-211-200011110000000000
χ2422222-122-1-1222-1-122-1-1-1-12-12-2-2-2-2-2-21122-1-1-1-1-2-2111111-2-2000000001111-2-1-11102112000-1-1-1-10000000000
χ2522222-122-1-1222-1-1-2-2-1-1-1-12-1222222-2-1-1-2-211-1-1-2-2111111-2-200000000-1-1-1-1211-1-10211-2000-1-1110000000000
χ2622222-122-1-1222-1-1-2-2-1-1-1-12-122222-2211-2-211-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-211110-211200011-1-10000000000
χ2722222-122-1-1222-1-1-2-2-1-1-1-12-12-2-2-2-22-2-1-1-2-211-1-1-2-211111122000000001111211-1-10-2-1-1200011-1-10000000000
χ2822222-122-1-1222-1-1-2-2-1-1-1-12-12-2-2-2-2-2211-2-211-1-122-1-1-1-1-1-122000000001111-2111102-1-1-2000-1-1110000000000
χ292222-122222-1-1-12-122-1-1-12-12-100002222-1-122-1-1-1-122-1-1-1-1002222-1-1220000-1-1-1-1-120000-1-1-10000-1-1000000-10
χ302222-122222-1-1-12-122-1-1-12-12-100002222-1-122-1-1-1-122-1-1-1-100-2-2-2-211-2-20000-1-1-1-1-1-2000011100001100000010
χ312222-122222-1-1-12-122-1-1-12-12-10000-2-2-2-2-1-122-1-111-2-21111002222-1-1-2-200001-1-111-20000-1-1-100001100000010
χ322222-122222-1-1-12-122-1-1-12-12-10000-2-2-2-2-1-122-1-111-2-2111100-2-2-2-2112200001-1-111200001110000-1-1000000-10
χ332222-122222-1-1-12-1-2-2-1-1-12-12-100002-22211-2-2-1-111-2-21111002-2-22-1-1-2-20000-111-1-120000-111000011000000-10
χ342222-122222-1-1-12-1-2-2-1-1-12-12-100002-22211-2-2-1-111-2-2111100-222-211220000-111-1-1-200001-1-10000-1-100000010
χ352222-122222-1-1-12-1-2-2-1-1-12-12-10000-22-2-211-2-2-1-1-1-122-1-1-1-1002-2-22-1-122000011111-20000-1110000-1-100000010
χ362222-122222-1-1-12-1-2-2-1-1-12-12-10000-22-2-211-2-2-1-1-1-122-1-1-1-100-222-211-2-2000011111200001-1-1000011000000-10
χ372-2-22222-22-22-2-2-222i−2i-2-22-2-2222i−2i2i−2i00002i−2i2i−2i2-2000000002-2000000002i−2i2i−2i02i−2i00002-2000000000000000000
χ382-2-22222-22-22-2-2-222i−2i-2-22-2-222−2i2i−2i2i00002i−2i2i−2i2-200000000-2200000000−2i2i−2i2i02i−2i0000-22000000000000000000
χ392-2-22222-22-22-2-2-22−2i2i-2-22-2-2222i−2i2i−2i0000−2i2i−2i2i2-200000000-22000000002i−2i2i−2i0−2i2i0000-22000000000000000000
χ402-2-22222-22-22-2-2-22−2i2i-2-22-2-222−2i2i−2i2i0000−2i2i−2i2i2-2000000002-200000000−2i2i−2i2i0−2i2i00002-2000000000000000000
χ412-2-2222-222-22-2-2-2200-2-2222-2-22i−2i−2i2i00000000-22000000000002i−2i000002i−2i−2i2i000000000002i−2i000000002-20000
χ422-2-2222-222-22-2-2-2200-2-2222-2-22i−2i−2i2i00000000-2200000000000−2i2i000002i−2i−2i2i00000000000−2i2i00000000-220000
χ432-2-2222-222-22-2-2-2200-2-2222-2-2−2i2i2i−2i00000000-22000000000002i−2i00000−2i2i2i−2i000000000002i−2i00000000-220000
χ442-2-2222-222-22-2-2-2200-2-2222-2-2−2i2i2i−2i00000000-2200000000000−2i2i00000−2i2i2i−2i00000000000−2i2i000000002-20000
χ452-2-222-12-2-112-2-21-12i−2i11-11-2-122i−2i2i−2i00−i3i32i−2i−ii-11003−333−3−32-200000000−ii−ii0−ii−i3i300-1100003−3−i3i30000000000
χ462-2-222-12-2-112-2-21-12i−2i11-11-2-122i−2i2i−2i00i3−i32i−2i−ii-1100−33−3−3332-200000000−ii−ii0−iii3−i300-110000−33i3−i30000000000
χ472-2-222-12-2-112-2-21-12i−2i11-11-2-12−2i2i−2i2i00−i3i32i−2i−ii-11003−333−3−3-2200000000i−ii−i0−ii−i3i3001-10000−33i3−i30000000000
χ482-2-222-12-2-112-2-21-12i−2i11-11-2-12−2i2i−2i2i00i3−i32i−2i−ii-1100−33−3−333-2200000000i−ii−i0−iii3−i3001-100003−3−i3i30000000000
χ492-2-222-12-2-112-2-21-1−2i2i11-11-2-122i−2i2i−2i00−i3i3−2i2ii−i-1100−33−3−333-2200000000−ii−ii0i−i−i3i3001-100003−3i3−i30000000000
χ502-2-222-12-2-112-2-21-1−2i2i11-11-2-122i−2i2i−2i00i3−i3−2i2ii−i-11003−333−3−3-2200000000−ii−ii0i−ii3−i3001-10000−33−i3i30000000000
χ512-2-222-12-2-112-2-21-1−2i2i11-11-2-12−2i2i−2i2i00−i3i3−2i2ii−i-1100−33−3−3332-200000000i−ii−i0i−i−i3i300-110000−33−i3i30000000000
χ522-2-222-12-2-112-2-21-1−2i2i11-11-2-12−2i2i−2i2i00i3−i3−2i2ii−i-11003−333−3−32-200000000i−ii−i0i−ii3−i300-1100003−3i3−i30000000000
χ5344444-2-4-4-2-2444-2-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ554444-24-4-444-2-2-24-200-2-2-2-42-42000000000000220000000000400-4-2-2000000000000000020000000000000000
χ564444-24-4-444-2-2-24-200-2-2-2-42-42000000000000220000000000-4004220000000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-44-44-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44400-4-4-4-444400-44-40000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ644-44-44400-4-4-4-444400-44-400000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ654-44-4-2400-4-422-24-2002-220000000000000000006−6006−66−6000000−2i32i3−2i22i2000000000000000000000i2−i200000000
χ664-44-4-2400-4-422-24-2002-220000000000000000006−6006−66−60000002i3−2i32i2−2i2000000000000000000000−i2i200000000
χ674-44-4-2400-4-422-24-2002-22000000000000000000−6600−66−66000000−2i32i32i2−2i2000000000000000000000−i2i200000000
χ684-44-4-2400-4-422-24-2002-22000000000000000000−6600−66−660000002i3−2i3−2i22i2000000000000000000000i2−i200000000
χ694-4-444-2-44-224-4-42-20022-2-242-44i−4i−4i4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ704-4-444-2-44-224-4-42-20022-2-242-4−4i4i4i−4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ714-4-44-244-44-4-222-4-24i−4i22-2-424-200000000−2i2i4i−4i-2200000000000000000000000−2i2i000000000000000000000000
χ724-4-44-244-44-4-222-4-2−4i4i22-2-424-2000000002i−2i−4i4i-22000000000000000000000002i−2i000000000000000000000000
χ734-4-44-24-444-4-222-4-20022-24-2-420000000000002-2000000000004i−4i00000000000000000000−2i2i00000000000000
χ744-4-44-24-444-4-222-4-20022-24-2-420000000000002-200000000000−4i4i000000000000000000002i−2i00000000000000
χ754-4-44-2-24-4-22-222214i−4i-1-1122-2-2000000−2i32i3−2i2i−2i2i1-10023−23−3−333000000000000000i−ii3−i30000000000000000000000
χ764-4-44-2-24-4-22-222214i−4i-1-1122-2-20000002i3−2i3−2i2i−2i2i1-100−232333−3−3000000000000000i−i−i3i30000000000000000000000
χ774-4-44-2-24-4-22-22221−4i4i-1-1122-2-2000000−2i32i32i−2i2i−2i1-100−232333−3−3000000000000000−iii3−i30000000000000000000000
χ784-4-44-2-24-4-22-22221−4i4i-1-1122-2-20000002i3−2i32i−2i2i−2i1-10023−23−3−333000000000000000−ii−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4004-4-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-884-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-88-40044-8-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-4200-22-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-4200-22-2000000000000000000−2626006−66−600000000000000000000000000000000000000000
χ878-8-88-4-4-88-44-4444200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000

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