Finite Group Databasebeta

← Group #11889119

Character table — Group #11889119

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212122226681212121212122424242424242424222446666881212666121244466812121212122424242444881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-111-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-111-1-111-1-1-1-1-111-11-111-11-1-111-1-111-1-111-11-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111111-11-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1111-11-1-11-111-1-111-1-1-1-11111-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1111-11-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1111-1-11-11-1-1-1111-1-1-1-111-1-1111-11
χ11111111111111111-1-1111111111-1-1-11-1-1-1-1111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-1-1-11-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-111-1-111111-1-1-11-1111-1-1-11111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-11-11111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-1-11-11-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-2222200-2-200000000000-200000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-2222-2-2002200000000000-2000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-2-2-22200-2-2000000000002000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-222-2-2-2-2002200000000000200000000-2200000
χ2122222-1222-12-1-12-122-1-1-1-122-1002-1-12-1-122-1-122-1-1-1-1-1-12220200-1-122-1-12-1-1-1-1200-1-100-1-10000-1-10000000
χ2222222-1222-12-1-12-122-1-1-1-122-1002-1-12-1-122-1-122-1-1-1-1-1-1-2-2-20-20011-2-2112-1-1-1-1-2001100110000110000000
χ2322222-1222-12-1-12-122-1-1-1-122-100-211-2-1-122-1-1-2-211111122-20-200112211-211-1-1-200-1-100110000-1-10000000
χ2422222-1222-12-1-12-122-1-1-1-122-100-211-2-1-122-1-1-2-2111111-2-220200-1-1-2-2-1-1-211-1-12001100-1-10000110000000
χ2522222-1222-12-1-12-1-2-2-1-1-1-122-1002-1-1-211-2-2-1-1-2-21111112220200-1-1-2-2-1-12-1-111-200-1-100110000110000000
χ2622222-1222-12-1-12-1-2-2-1-1-1-122-1002-1-1-211-2-2-1-1-2-2111111-2-2-20-2001122112-1-1112001100-1-10000-1-10000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-122-100-211211-2-2-1-122-1-1-1-1-1-122-20-20011-2-211-21111200-1-100-1-10000110000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-122-100-211211-2-2-1-122-1-1-1-1-1-1-2-220200-1-122-1-1-21111-2001100110000-1-10000000
χ292222-1222-12-122-1-122-1-1-12-1-1222222222-1-1-1-1-1-122-1-1-1-100020-1-1000000-1-1-1-1-1022002-100-1-1-1-1000000-100
χ302222-1222-12-122-1-122-1-1-12-1-1222-2-2-2-222-1-1-1-111-2-2111100020-1-1000000111-1-102-200-2-100-1-111000000100
χ312222-1222-12-122-1-122-1-1-12-1-12-2-2222222-1-1-1-1-1-122-1-1-1-1000-2011000000-1-1-1-1-10-2-200-21001111000000100
χ322222-1222-12-122-1-122-1-1-12-1-12-2-2-2-2-2-222-1-1-1-111-2-21111000-2011000000111-1-10-2200210011-1-1000000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-1-1222222-2-2-211-1-111-2-2111100020-1-1000000-1-1-1110-2200-2-1001111000000-100
χ342222-1222-12-122-1-1-2-2-1-1-12-1-1222-2-2-22-2-211-1-1-1-122-1-1-1-100020-1-1000000111110-2-2002-10011-1-1000000100
χ352222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2222-2-2-211-1-111-2-21111000-2011000000-1-1-11102-2002100-1-1-1-1000000100
χ362222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2-2-2-22-2-211-1-1-1-122-1-1-1-1000-20110000001111102200-2100-1-111000000-100
χ372-2-22222-2-2-222-2-222i−2i-22-22-22-20000002i−2i2i−2i2-2000000002-200000002i−2i000002i−2i0002-2000000002i−2i0000000
χ382-2-22222-2-2-222-2-222i−2i-22-22-22-20000002i−2i2i−2i2-200000000-220000000−2i2i000002i−2i000-2200000000−2i2i0000000
χ392-2-22222-2-2-222-2-22−2i2i-22-22-22-2000000−2i2i−2i2i2-2000000002-20000000−2i2i00000−2i2i0002-200000000−2i2i0000000
χ402-2-22222-2-2-222-2-22−2i2i-22-22-22-2000000−2i2i−2i2i2-200000000-2200000002i−2i00000−2i2i000-22000000002i−2i0000000
χ412-2-222-12-2-212-11-2-12i−2i1-11-1-221000−i3i30−ii2i−2i-11003−333−3−32-200000−i3i32i−2i−i3i30−i3i3−ii000-11003−30000−ii0000000
χ422-2-222-12-2-212-11-2-12i−2i1-11-1-221000−i3i30−ii2i−2i-11003−333−3−3-2200000i3−i3−2i2ii3−i30−i3i3−ii0001-100−330000i−i0000000
χ432-2-222-12-2-212-11-2-12i−2i1-11-1-221000i3−i30−ii2i−2i-1100−33−3−3332-200000i3−i32i−2ii3−i30i3−i3−ii000-1100−330000−ii0000000
χ442-2-222-12-2-212-11-2-12i−2i1-11-1-221000i3−i30−ii2i−2i-1100−33−3−333-2200000−i3i3−2i2i−i3i30i3−i3−ii0001-1003−30000i−i0000000
χ452-2-222-12-2-212-11-2-1−2i2i1-11-1-221000−i3i30i−i−2i2i-1100−33−3−3332-200000−i3i3−2i2i−i3i30−i3i3i−i000-1100−330000i−i0000000
χ462-2-222-12-2-212-11-2-1−2i2i1-11-1-221000−i3i30i−i−2i2i-1100−33−3−333-2200000i3−i32i−2ii3−i30−i3i3i−i0001-1003−30000−ii0000000
χ472-2-222-12-2-212-11-2-1−2i2i1-11-1-221000i3−i30i−i−2i2i-11003−333−3−32-200000i3−i3−2i2ii3−i30i3−i3i−i000-11003−30000i−i0000000
χ482-2-222-12-2-212-11-2-1−2i2i1-11-1-221000i3−i30i−i−2i2i-11003−333−3−3-2200000−i3i32i−2i−i3i30i3−i3i−i0001-100−330000−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
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-2004-2-24-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-422-4-2-2-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-2-2-42222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4224222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444004-4-4-44-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-444004-4-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-44400-44-4-4-44400-4-4400004-4000000000000000000000004-4000000000000000000000000000000000
χ604-44-44400-44-4-4-44400-4-440000-4400000000000000000000000-44000000000000000000000000000000000
χ614-44-4-2400242-4-4-2-20022-200004-40000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ624-44-4-2400242-4-4-2-20022-200004-40000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ634-44-4-2400242-4-4-2-20022-20000-440000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ644-44-4-2400242-4-4-2-20022-20000-440000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ654-4-4444-44-4-444-4-4400-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-2-44-424-22-4-2002-2224-4-200000000002-2000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ674-4-444-2-44-424-22-4-2002-2224-4-200000000002-20000000000000002i3−2i300−2i32i3000000000000000000000000000
χ684-4-44-244-42-4-24-42-24i−4i2-2242-2-40000004i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000000
χ694-4-44-244-42-4-24-42-2−4i4i2-2242-2-4000000−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000000
χ704-4-44-24-442-4-24-42-2002-22-4-22400000000002-20000000000000000000000000000000000023−2300000000000
χ714-4-44-24-442-4-24-42-2002-22-4-22400000000002-200000000000000000000000000000000000−232300000000000
χ724-4-44-2-24-422-2-22214i−4i-11-1-22-22000−2i32i30−2i2i−2i2i1-10023−23−3−33300000000000000i3−i3i−i0000000000000000000000
χ734-4-44-2-24-422-2-22214i−4i-11-1-22-220002i3−2i30−2i2i−2i2i1-100−232333−3−300000000000000−i3i3i−i0000000000000000000000
χ744-4-44-2-24-422-2-2221−4i4i-11-1-22-22000−2i32i302i−2i2i−2i1-100−232333−3−300000000000000i3−i3−ii0000000000000000000000
χ754-4-44-2-24-422-2-2221−4i4i-11-1-22-220002i3−2i302i−2i2i−2i1-10023−23−3−33300000000000000−i3i3−ii0000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-40084-84-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-84-884-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4444-442002-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ8088-8-8-4-400-4444-442002-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-88-88-400-8-4-8448-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4444-4200-2-2200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-4200-2-220000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4-8844-4-444200-22-24-44-40000000000-22000000000000000000000000000000000000000000000000

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