Finite Group Databasebeta

← Group #11887831

Character table — Group #11887831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order122233446666663446668812121212224441212121212122424242424242424246688881212121212121212448888244461212121212242424244446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-111111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-11-111-111-1-1-1-111-1-1-1-11-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-111-1111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-111-11-1-111-1-111-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1111111-1-11-111-1-111-1-1-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1-11-1-1-1-1-1-111111-1-1111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-1-111-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1111-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1111111-1-1-1111-1-1-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-11111-1-1111-1-1-11111-1-1-1-1-1-111
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-111-1-1-111111111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-2220000220000002200000000-2-200000000-200000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-2000000002-2220000-2-2000000-2-2000000002-200000000200000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-22-2-2000022000000-2-200000000-2200000000200000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-200000022000000002200000000-200000
χ2122222-122-12-122-1-122-1-1-122-12-122200222-1-1-1-122-1-1-1-1-1-102-1-12200002-1-1-1-1-100000020200-100-1-1-1-100000-100
χ2222222-122-12-122-1-122-1-1-122-12-12-2-200222-1-1-1-122-1-1-1-1-1-10-211-2-200002-1-1-1-1-1000000-20-200100111100000100
χ2322222-122-12-122-1-122-1-1-1-2-2-12-122200-222-1-1-1-1-2-211111102-1-1-2-20000-21-1-111000000-20200-100-1-11100000100
χ2422222-122-12-122-1-122-1-1-1-2-2-12-12-2-200-222-1-1-1-1-2-21111110-211220000-21-1-11100000020-20010011-1-100000-100
χ2522222-122-12-122-1-1-2-2-1-1-122-12-122200-2-2-211-1-122-1-1-1-1-1-102-1-1220000-211111000000-20-200-10011-1-100000100
χ2622222-122-12-122-1-1-2-2-1-1-122-12-12-2-200-2-2-211-1-122-1-1-1-1-1-10-211-2-20000-21111100000020200100-1-11100000-100
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-12-1222002-2-211-1-1-2-211111102-1-1-2-200002-111-1-100000020-200-100111100000-100
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-12-12-2-2002-2-211-1-1-2-21111110-2112200002-111-1-1000000-20200100-1-1-1-100000100
χ292222-12222-12-1-12-122-1-1-1222-12-100222-1-122-1-1-1-122-1-1-1-120000022-1-1-12-1-1-1-10000000202-10-1-10000-1-10000-10
χ302222-12222-12-1-12-122-1-1-1222-12-100-2-22-1-122-1-1-1-122-1-1-1-1-200000-2-211-12-1-1-1-10000000-20-21011000011000010
χ312222-12222-12-1-12-122-1-1-1-2-22-12-10022-2-1-122-1-111-2-21111200000-2-2-1-11-2-1-111000000020-2-10-1-1000011000010
χ322222-12222-12-1-12-122-1-1-1-2-22-12-100-2-2-2-1-122-1-111-2-21111-20000022111-2-1-1110000000-20210110000-1-10000-10
χ332222-12222-12-1-12-1-2-2-1-1-1222-12-10022-211-2-2-1-1-1-122-1-1-1-120000022-1-11-211110000000-20-2-10110000-1-1000010
χ342222-12222-12-1-12-1-2-2-1-1-1222-12-100-2-2-211-2-2-1-1-1-122-1-1-1-1-200000-2-2111-21111000000020210-1-10000110000-10
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-12-10022211-2-2-1-111-2-21111200000-2-2-1-1-1211-1-10000000-202-10110000110000-10
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-12-100-2-2211-2-2-1-111-2-21111-2000002211-1211-1-1000000020-210-1-10000-1-1000010
χ372-22-22200-22-2-2-22200-2-222−200002-22i−2i00000002−22−222−2−2002-22−2−i2i22i−2i0000002i−2i−i2−i2i2i200000000002−2−i2i2000000
χ382-22-22200-22-2-2-22200-2-222−200002-2−2i2i00000002−22−222−2−2002-22−2i2−i2−2i2i000000−2i2ii2i2−i2−i200000000002−2i2−i2000000
χ392-22-22200-22-2-2-22200-2-222−20000-222i−2i00000002−22−222−2−200-22−22−i2i22i−2i000000−2i2ii2i2−i2−i20000000000−22−i2i2000000
χ402-22-22200-22-2-2-22200-2-222−20000-22−2i2i00000002−22−222−2−200-22−22i2−i2−2i2i0000002i−2i−i2−i2i2i20000000000−22i2−i2000000
χ412-22-22200-22-2-2-22200-2-22−2200002-22i−2i0000000−22−22−2−222002-2−22i2−i22i−2i0000002i−2ii2i2−i2−i20000000000−22i2−i2000000
χ422-22-22200-22-2-2-22200-2-22−2200002-2−2i2i0000000−22−22−2−222002-2−22−i2i2−2i2i000000−2i2i−i2−i2i2i20000000000−22−i2i2000000
χ432-22-22200-22-2-2-22200-2-22−220000-222i−2i0000000−22−22−2−22200-222−2i2−i22i−2i000000−2i2i−i2−i2i2i200000000002−2i2−i2000000
χ442-22-22200-22-2-2-22200-2-22−220000-22−2i2i0000000−22−22−2−22200-222−2−i2i2−2i2i0000002i−2ii2i2−i2−i200000000002−2−i2i2000000
χ452-2-22222-2-2-22-22-222i−2i-22-20022-2-2000002i−2i2i−2i-22000000000000000000002i−2i00002i−2i2i−2i0000000000000002-2000
χ462-2-22222-2-2-22-22-222i−2i-22-20022-2-2000002i−2i2i−2i-22000000000000000000002i−2i0000−2i2i−2i2i000000000000000-22000
χ472-2-22222-2-2-22-22-22−2i2i-22-20022-2-200000−2i2i−2i2i-2200000000000000000000−2i2i00002i−2i2i−2i000000000000000-22000
χ482-2-22222-2-2-22-22-22−2i2i-22-20022-2-200000−2i2i−2i2i-2200000000000000000000−2i2i0000−2i2i−2i2i0000000000000002-2000
χ4944444-2-4-4-24-244-2-200-2-2-2002-42-444000000022000000000-4-2-200000000000000000000000200000000000000
χ5044444-2-4-4-24-244-2-200-2-2-2002-42-4-4-400000002200000000042200000000000000000000000-200000000000000
χ514444-24-4-44-24-2-24-200-2-2-200-42-420044000002200000000-40000000-2-200000000000000002000000000000000
χ524444-24-4-44-24-2-24-200-2-2-200-42-4200-4-400000220000000040000000220000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000002211-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-2-1-11100000000000000000000000000
χ5744-4-444004-4-44-4-44004-4-4000000000000000000000000000000000000000000022−22−222200000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000−222222−2200000000000000000000
χ594-44-44-200242-4-4-2-20022-222−2200004-400000000022−22−22−2−22200-2222−2200000000000000000000000000−2200000000
χ604-44-44-200242-4-4-2-20022-222−220000-4400000000022−22−22−2−222002-2−2222000000000000000000000000002−200000000
χ614-44-44-200242-4-4-2-20022-2−222200004-4000000000−22222−222−2−200-22−2222000000000000000000000000002−200000000
χ624-44-44-200242-4-4-2-20022-2−22220000-44000000000−22222−222−2−2002-222−2200000000000000000000000000−2200000000
χ634-44-4-2400-4-2-4224-20022-222−220000004i−4i0000000−2222−22−2−222000000−2i22i2−2i2i000000000000000000000000i2−i2000000
χ644-44-4-2400-4-2-4224-20022-222−22000000−4i4i0000000−2222−22−2−2220000002i2−2i22i−2i000000000000000000000000−i2i2000000
χ654-44-4-2400-4-2-4224-20022-2−22220000004i−4i00000002−2−222222−2−20000002i2−2i2−2i2i000000000000000000000000−i2i2000000
χ664-44-4-2400-4-2-4224-20022-2−2222000000−4i4i00000002−2−222222−2−2000000−2i22i22i−2i000000000000000000000000i2−i2000000
χ674-4-4444-44-4-44-44-4400-44-400-4-4440000000004-400000000000000000000000000000000000000000000000000
χ684-4-444-24-42-4-2-442-24i−4i2-2200-242-4000004i−4i−2i2i2-200000000000000000000−2i2i0000000000000000000000000000
χ694-4-444-24-42-4-2-442-2−4i4i2-2200-242-400000−4i4i2i−2i2-2000000000000000000002i−2i0000000000000000000000000000
χ704-4-444-2-442-4-2-442-2002-22002-4-24000000000-220000000000000000000000000000000000000023−230000000000
χ714-4-444-2-442-4-2-442-2002-22002-4-24000000000-2200000000000000000000000000000000000000−23230000000000
χ724-4-44-244-4-4242-2-4-24i−4i2-22004-2-4200000−2i2i4i−4i2-200000000000000000000−2i2i0000000000000000000000000000
χ734-4-44-244-4-4242-2-4-2−4i4i2-22004-2-42000002i−2i−4i4i2-2000000000000000000002i−2i0000000000000000000000000000
χ744-4-44-24-44-4242-2-4-2002-2200-424-2000000000-2200000000000000000000000000000000000023−23000000000000
χ754-4-44-24-44-4242-2-4-2002-2200-424-2000000000-22000000000000000000000000000000000000−2323000000000000
χ764-4-44-2-24-422-22-2214i−4i-11-100-2-22200000−2i2i−2i2i-1100003-33-3000000000000i−i3i−3i00000000000000000000000000
χ774-4-44-2-24-422-22-2214i−4i-11-100-2-22200000−2i2i−2i2i-110000-33-33000000000000i−i−3i3i00000000000000000000000000
χ784-4-44-2-24-422-22-221−4i4i-11-100-2-222000002i−2i2i−2i-1100003-33-3000000000000−ii−3i3i00000000000000000000000000
χ794-4-44-2-24-422-22-221−4i4i-11-100-2-222000002i−2i2i−2i-110000-33-33000000000000−ii3i−3i00000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-88-400-4-848-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-480084-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-444-4442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-4442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000
χ858-88-8-4-4004-4444-4200-2-2242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000
χ868-88-8-4-4004-4444-4200-2-22−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-44200-22-20044-4-40000000002-200000000000000000000000000000000000000000000000000

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