Finite Group Databasebeta

← Group #11889735

Character table — Group #11889735

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666634466612121212224812121212121212122424242424242424222446666881212121212121244466812121212122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-111-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-111-1-111-1-1-111-1-11-1-111-11-1-111-1-111-1-111-11-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-11-11-1-1-111111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111111-11-1-111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-11-1111-1-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-111-1-1-111-1-11-111-1-111-1-1-1-11111-1
χ9111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-11-111-11-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-1-111-111-1-1-1111-1-1-1-111-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-1-1-1111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-111-1-1111-1-1111-1-1111-1-1-11111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-11-1-11-11111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-11-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-2222200-2-200000000000-2000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-2222-2-2002200000000000-200000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-2-2-22200-2-200000000000200000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-222-2-2-2-20022000000000002000000002-200000
χ2122222-1222-12-1-12-122-1-1-1-122-10022-1-1-1-122-1-122-1-1-1-1-1-12220200-1-122-1-12-1-1-1-1002-1-100-1-10000-1-10000000
χ2222222-1222-12-1-12-122-1-1-1-122-10022-1-1-1-122-1-122-1-1-1-1-1-1-2-2-20-20011-2-2112-1-1-1-100-21100110000110000000
χ2322222-1222-12-1-12-122-1-1-1-122-100-2-211-1-122-1-1-2-211111122-20-200112211-2-1-11100-2-1-100110000-1-10000000
χ2422222-1222-12-1-12-122-1-1-1-122-100-2-211-1-122-1-1-2-2111111-2-220200-1-1-2-2-1-1-2-1-1110021100-1-10000110000000
χ2522222-1222-12-1-12-1-2-2-1-1-1-122-1002-2-1-111-2-2-1-1-2-21111112220200-1-1-2-2-1-1211-1-100-2-1-100110000110000000
χ2622222-1222-12-1-12-1-2-2-1-1-1-122-1002-2-1-111-2-2-1-1-2-2111111-2-2-20-200112211211-1-10021100-1-10000-1-10000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-122-100-221111-2-2-1-122-1-1-1-1-1-122-20-20011-2-211-21111002-1-100-1-10000110000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-122-100-221111-2-2-1-122-1-1-1-1-1-1-2-220200-1-122-1-1-2111100-21100110000-1-10000000
χ292222-1222-12-122-1-122-1-1-12-1-1222222222-1-1-1-1-1-122-1-1-1-100020-1-1000000-1-1-1-1-1220002-100-1-1-1-1000000-100
χ302222-1222-12-122-1-122-1-1-12-1-1222-2-2-2-222-1-1-1-111-2-2111100020-1-10000001-1-1112-2000-2-100-1-111000000100
χ312222-1222-12-122-1-122-1-1-12-1-12-2-2222222-1-1-1-1-1-122-1-1-1-1000-2011000000-1-1-1-1-1-2-2000-21001111000000100
χ322222-1222-12-122-1-122-1-1-12-1-12-2-2-2-2-2-222-1-1-1-111-2-21111000-20110000001-1-111-22000210011-1-1000000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-1-12222-222-2-211-1-111-2-2111100020-1-1000000-111-1-1-22000-2-1001111000000-100
χ342222-1222-12-122-1-1-2-2-1-1-12-1-1222-22-2-2-2-211-1-1-1-122-1-1-1-100020-1-100000011111-2-20002-10011-1-1000000100
χ352222-1222-12-122-1-1-2-2-1-1-12-1-12-2-22-222-2-211-1-111-2-21111000-2011000000-111-1-12-20002100-1-1-1-1000000100
χ362222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2-22-2-2-2-211-1-1-1-122-1-1-1-1000-20110000001111122000-2100-1-111000000-100
χ372-22-2222-2-2-222-2-222i−2i-2-222-22-20000002i−2i2i−2i2-2000000002-200000002i−2i0002i−2i000002-2000000002i−2i0000000
χ382-22-2222-2-2-222-2-222i−2i-2-222-22-20000002i−2i2i−2i2-200000000-220000000−2i2i0002i−2i00000-2200000000−2i2i0000000
χ392-22-2222-2-2-222-2-22−2i2i-2-222-22-2000000−2i2i−2i2i2-2000000002-20000000−2i2i000−2i2i000002-200000000−2i2i0000000
χ402-22-2222-2-2-222-2-22−2i2i-2-222-22-2000000−2i2i−2i2i2-200000000-2200000002i−2i000−2i2i00000-22000000002i−2i0000000
χ412-22-22-12-2-212-11-2-12i−2i11-1-1-2210000−i3i3−ii2i−2i-11003−333−3−32-200000−i3i32i−2i−i3i30−ii−i3i3000-11003−30000−ii0000000
χ422-22-22-12-2-212-11-2-12i−2i11-1-1-2210000−i3i3−ii2i−2i-11003−333−3−3-2200000i3−i3−2i2ii3−i30−ii−i3i30001-100−330000i−i0000000
χ432-22-22-12-2-212-11-2-12i−2i11-1-1-2210000i3−i3−ii2i−2i-1100−33−3−3332-200000i3−i32i−2ii3−i30−iii3−i3000-1100−330000−ii0000000
χ442-22-22-12-2-212-11-2-12i−2i11-1-1-2210000i3−i3−ii2i−2i-1100−33−3−333-2200000−i3i3−2i2i−i3i30−iii3−i30001-1003−30000i−i0000000
χ452-22-22-12-2-212-11-2-1−2i2i11-1-1-2210000−i3i3i−i−2i2i-1100−33−3−3332-200000−i3i3−2i2i−i3i30i−i−i3i3000-1100−330000i−i0000000
χ462-22-22-12-2-212-11-2-1−2i2i11-1-1-2210000−i3i3i−i−2i2i-1100−33−3−333-2200000i3−i32i−2ii3−i30i−i−i3i30001-1003−30000−ii0000000
χ472-22-22-12-2-212-11-2-1−2i2i11-1-1-2210000i3−i3i−i−2i2i-11003−333−3−32-200000i3−i3−2i2ii3−i30i−ii3−i3000-11003−30000i−i0000000
χ482-22-22-12-2-212-11-2-1−2i2i11-1-1-2210000i3−i3i−i−2i2i-11003−333−3−3-2200000−i3i32i−2i−i3i30i−ii3−i30001-100−330000−ii0000000
χ4944444-2-4-44-24-2-24-200-2-2-22-4-42000000000022000000000040-400-2-20022000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-2-2-22-4-420000000000220000000000-404002200-2-2000000000000000000000000000
χ514444-24-4-4-24-244-2-200-2-2-2-422-444000000002200000000000-40-2-2000000000000000002000000000000000
χ524444-24-4-4-24-244-2-200-2-2-2-422-4-4-4000000002200000000000402200000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-422-2-2-2-2112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-4-2-22222112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-4440044-4-4-4-44004-4-400004-4000000000000000000000004-4000000000000000000000000000000000
χ5844-4-4440044-4-4-4-44004-4-40000-4400000000000000000000000-44000000000000000000000000000000000
χ5944-4-4-2400-242-4-42-200-22200004-40000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ6044-4-4-2400-242-4-42-200-22200004-40000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ6144-4-4-2400-242-4-42-200-2220000-440000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ6244-4-4-2400-242-4-42-200-2220000-440000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ634-44-444-44-4-444-4-4400-4-44-44-440000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-2-44-424-22-4-20022-224-4-200000000002-2000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ654-44-44-2-44-424-22-4-20022-224-4-200000000002-20000000000000002i3−2i300−2i32i3000000000000000000000000000
χ664-44-4-244-42-4-24-42-24i−4i22-242-2-40000004i−4i−2i2i-220000000000000000000000−2i2i000000000000000000000000
χ674-44-4-244-42-4-24-42-2−4i4i22-242-2-4000000−4i4i2i−2i-2200000000000000000000002i−2i000000000000000000000000
χ684-44-4-24-442-4-24-42-20022-2-4-22400000000002-20000000000000000000000000000000000023−2300000000000
χ694-44-4-24-442-4-24-42-20022-2-4-22400000000002-200000000000000000000000000000000000−232300000000000
χ704-44-4-2-24-422-2-22214i−4i-1-11-22-220000−2i32i3−2i2i−2i2i1-10023−23−3−33300000000000000i−ii3−i30000000000000000000000
χ714-44-4-2-24-422-2-22214i−4i-1-11-22-2200002i3−2i3−2i2i−2i2i1-100−232333−3−300000000000000i−i−i3i30000000000000000000000
χ724-44-4-2-24-422-2-2221−4i4i-1-11-22-220000−2i32i32i−2i2i−2i1-100−232333−3−300000000000000−iii3−i30000000000000000000000
χ734-44-4-2-24-422-2-2221−4i4i-1-11-22-2200002i3−2i32i−2i2i−2i1-10023−23−3−33300000000000000−ii−i3i30000000000000000000000
χ744-4-444400-4-4-4-444400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ754-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444442002-2-200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-20000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ808-88-8-4-4-8844-4-444200-2-224-44-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-400-84-84-48-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-84-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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