Finite Group Databasebeta

← Group #11887530

Character table — Group #11887530

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order1222334466666634466688121212122244412121212121224242424242424244466888812121212121212122288882444121212121212242424244446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-111111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-111111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-111-1111-1-1-1-1-111-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11111111-1-1-1-1-1-11-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1111-1-11111-1-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1111111-1-1111-1-1-111-1-111-11-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111-1-11111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-11-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-11111-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-11-11-1-11-1-1-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1111-1-1-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-11111-1-1111-1-1-11111-1-1-1-1-1-111
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-11-11-111-1111111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-2220000220000002200000000-200-200000000-2000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-2000000002-2220000-2-2000000-2-200000000200-2000000002000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-22-2-2000022000000-2-200000000-2002000000002000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-20000002200000000200200000000-2000
χ2122222-122-1-1222-1-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-102-1-1220000-12-1-1-1-10000002002000-1-1-1-1-100000-100
χ2222222-122-1-1222-1-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10-211-2-20000-12-1-1-1-1000000-200-20001111100000100
χ2322222-122-1-1222-1-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-2111102-1-1-2-200001-211-1-1000000-2002000-1-1-11100000100
χ2422222-122-1-1222-1-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110-2112200001-211-1-1000000200-2000111-1-100000-100
χ2522222-122-1-1222-1-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-102-1-12200001-21111000000-200-2000-111-1-100000100
χ2622222-122-1-1222-1-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10-211-2-200001-2111100000020020001-1-11100000-100
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111102-1-1-2-20000-12-1-111000000200-2000-1111100000-100
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110-211220000-12-1-111000000-20020001-1-1-1-100000100
χ292222-122222-1-1-12-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-120000022-1-12-1-1-1-1-10000000220-1-1-100000-1-10000-10
χ302222-122222-1-1-12-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-1-200000-2-2112-1-1-1-1-10000000-2-201110000011000010
χ312222-122222-1-1-12-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111200000-2-2-1-1-2111-1-100000002-20-1-1-10000011000010
χ322222-122222-1-1-12-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-2111111-2000002211-2111-1-10000000-22011100000-1-10000-10
χ332222-122222-1-1-12-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-120000022-1-1-2111110000000-2-20-11100000-1-1000010
χ342222-122222-1-1-12-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-1-200000-2-211-21111100000002201-1-100000110000-10
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-2111111200000-2-2-1-12-1-1-1110000000-220-11100000110000-10
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-2111111-20000022112-1-1-11100000002-201-1-100000-1-1000010
χ372-22-22200-22-2-22-2200-22-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−i2i22-20000002-2−i2−i2i2i20000000000−i2i2−i2i2000000
χ382-22-22200-22-2-22-2200-22-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2i2−i2-22000000-22i2i2−i2−i20000000000−i2i2i2−i2000000
χ392-22-22200-22-2-22-2200-22-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i200-22i2−i2−i2i22-2000000-22i2i2−i2−i20000000000i2−i2−i2i2000000
χ402-22-22200-22-2-22-2200-22-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i200-22i2−i2i2−i2-220000002-2−i2−i2i2i20000000000i2−i2i2−i2000000
χ412-22-22200-22-2-22-2200-22-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2i2−i22-20000002-2i2i2−i2−i20000000000i2−i2i2−i2000000
χ422-22-22200-22-2-22-2200-22-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2−i2i2-22000000-22−i2−i2i2i20000000000i2−i2−i2i2000000
χ432-22-22200-22-2-22-2200-22-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i200-22−i2i2i2−i22-2000000-22−i2−i2i2i20000000000−i2i2i2−i2000000
χ442-22-22200-22-2-22-2200-22-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−i2i2-220000002-2i2i2−i2−i20000000000−i2i2−i2i2000000
χ452-2-22222-2-2-22-2-2222-2-2-22002-22-2000002-22-22-200000000000000000000002-2002i−2i2i−2i000000000000002i−2i0000
χ462-2-22222-2-2-22-2-2222-2-2-22002-22-2000002-22-22-200000000000000000000002-200−2i2i−2i2i00000000000000−2i2i0000
χ472-2-22222-2-2-22-2-222-22-2-22002-22-200000-22-222-20000000000000000000000-22002i−2i2i−2i00000000000000−2i2i0000
χ482-2-22222-2-2-22-2-222-22-2-22002-22-200000-22-222-20000000000000000000000-2200−2i2i−2i2i000000000000002i−2i0000
χ4944444-2-4-4-2-2444-2-200-2-2-200-422-444000000022000000000-4-2-200000000000000000000000002000000000000
χ5044444-2-4-4-2-2444-2-200-2-2-200-422-4-4-40000000220000000004220000000000000000000000000-2000000000000
χ514444-24-4-444-2-2-24-200-2-2-2002-4-420044000002200000000-40000000-2-200000000000000002000000000000000
χ524444-24-4-444-2-2-24-200-2-2-2002-4-4200-4-400000220000000040000000220000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-1000000000022-1-11100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-211-1-100000000000000000000000000
χ5744-4-444004-4-44-4-44004-4-4000000000000000000000000000000000000000000022−22−222200000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000−222222−2200000000000000000000
χ594-44-44-2002-2-4-442-2002-22−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200-22−2i22i200000000000000000000000000i2−i200000000
χ604-44-44-2002-2-4-442-2002-22−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002-22i2−2i200000000000000000000000000−i2i200000000
χ614-44-44-2002-2-4-442-2002-222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200-222i2−2i200000000000000000000000000−i2i200000000
χ624-44-44-2002-2-4-442-2002-222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i2002-2−2i22i200000000000000000000000000i2−i200000000
χ634-44-4-2400-4422-2-4-2002-22−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000−2i22i2-22000000000000000000000000i2−i2000000
χ644-44-4-2400-4422-2-4-2002-22−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000002i2−2i22-2000000000000000000000000−i2i2000000
χ654-44-4-2400-4422-2-4-2002-222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i20000002i2−2i2-22000000000000000000000000−i2i2000000
χ664-44-4-2400-4422-2-4-2002-222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i2000000−2i22i22-2000000000000000000000000i2−i2000000
χ674-4-4444-44-4-44-4-44400-4-4400-44-44000000000-4400000000000000000000000000000000000000000000000000
χ684-4-444-24-4224-4-4-2-24-422-20042-2-4000004-4-22-220000000000000000000000-2200000000000000000000000000
χ694-4-444-24-4224-4-4-2-2-4422-20042-2-400000-442-2-2200000000000000000000002-200000000000000000000000000
χ704-4-444-2-44224-4-4-2-20022-200-4-2240000000002-200000000000000000000000000000000000000−2i32i30000000000
χ714-4-444-2-44224-4-4-2-20022-200-4-2240000000002-2000000000000000000000000000000000000002i3−2i30000000000
χ724-4-44-244-4-4-4-2224-24-422-200-2-44200000-224-4-220000000000000000000000-2200000000000000000000000000
χ734-4-44-244-4-4-4-2224-2-4422-200-2-442000002-2-44-2200000000000000000000002-200000000000000000000000000
χ744-4-44-24-44-4-4-2224-20022-20024-4-20000000002-20000000000000000000000000000000000023−230000000000000
χ754-4-44-24-44-4-4-2224-20022-20024-4-20000000002-200000000000000000000000000000000000−23230000000000000
χ764-4-44-2-24-422-222-214-4-1-1100-22-2200000-22-221-100003i−3i3i−3i0000000000003i−3i1-100000000000000000000000000
χ774-4-44-2-24-422-222-214-4-1-1100-22-2200000-22-221-10000−3i3i−3i3i000000000000−3i3i1-100000000000000000000000000
χ784-4-44-2-24-422-222-21-44-1-1100-22-22000002-22-21-100003i−3i3i−3i000000000000−3i3i-1100000000000000000000000000
χ794-4-44-2-24-422-222-21-44-1-1100-22-22000002-22-21-10000−3i3i−3i3i0000000000003i−3i-1100000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-88-400-44-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-444-4442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-4442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-44200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ868-88-8-4-4004-444-44200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-2-22004-44-4000000000-2200000000000000000000000000000000000000000000000000

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