Finite Group Databasebeta

← Group #11889161

Character table — Group #11889161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212122248121212121212121224242424242424242244466881212121212121212122446681212121212242424242488624
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
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-111-1-1-11-111-11-1-111-1-111-1-111-11-1
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-111-1-1-111111-1-1-1-111-1-1-1-11
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
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-11-1-1111-1-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1-11-11-1-11-111-1-111-1-1-1-11111-1
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-111-11-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1111-11-1-1-1111-1-1-1-111-1-1111-11
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
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-111111-1-111-11-1111-1-1-11111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-111-1-11-11111111111-1-1-11-1
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
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-22200-2-22200000000000-2000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-2-22220022-2-200000000000-200000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000000022-2-2-200-2-22200000000000200000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-222-2-20022-2-2000000000002000000002-200000
χ2122222-122-12-122-1-122-1-1-1-12-1222222222-1-1-1-122-1-1-1-1-1-100020-1-1000000-1-1-1-1-1220002-100-1-1-1-1000000-100
χ2222222-122-12-122-1-122-1-1-1-12-1222-2-222-2-2-1-1-1-1-2-211111100020-1-10000001-1-111-22000-2-100-1-111000000100
χ2322222-122-12-122-1-122-1-1-1-12-12-2-2222222-1-1-1-122-1-1-1-1-1-1000-2011000000-1-1-1-1-1-2-2000-21001111000000100
χ2422222-122-12-122-1-122-1-1-1-12-12-2-2-2-222-2-2-1-1-1-1-2-2111111000-20110000001-1-1112-2000210011-1-1000000-100
χ2522222-122-12-122-1-1-2-2-1-1-1-12-12222-2-2-22211-1-1-2-211111100020-1-1000000-111-1-12-2000-2-1001111000000-100
χ2622222-122-12-122-1-1-2-2-1-1-1-12-1222-22-2-2-2-211-1-122-1-1-1-1-1-100020-1-100000011111-2-20002-10011-1-1000000100
χ2722222-122-12-122-1-1-2-2-1-1-1-12-12-2-22-2-2-22211-1-1-2-2111111000-2011000000-111-1-1-220002100-1-1-1-1000000100
χ2822222-122-12-122-1-1-2-2-1-1-1-12-12-2-2-22-2-2-2-211-1-122-1-1-1-1-1-1000-20110000001111122000-2100-1-111000000-100
χ292222-12222-12-1-12-122-1-1-12-12-10022-1-1-1-122-1-1-1-122-1-1-1-1222020022-1-1-1-12-1-1-1-1002-1-100-1-10000-1-10000000
χ302222-12222-12-1-12-122-1-1-12-12-10022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20-200-2-211112-1-1-1-100-21100110000110000000
χ312222-12222-12-1-12-122-1-1-12-12-100-2-2-1-11122-1-111-2-2111122-20-200221111-2-1-11100-2-1-100110000-1-10000000
χ322222-12222-12-1-12-122-1-1-12-12-100-2-2-1-11122-1-111-2-21111-2-220200-2-2-1-1-1-1-2-1-1110021100-1-10000110000000
χ332222-12222-12-1-12-1-2-2-1-1-12-12-1002-211-1-1-2-2-1-111-2-211112220200-2-2-1-1-1-1211-1-100-2-1-100110000110000000
χ342222-12222-12-1-12-1-2-2-1-1-12-12-1002-211-1-1-2-2-1-111-2-21111-2-2-20-200221111211-1-10021100-1-10000-1-10000000
χ352222-12222-12-1-12-1-2-2-1-1-12-12-100-221111-2-2-1-1-1-122-1-1-1-122-20-200-2-21111-21111002-1-100-1-10000110000000
χ362222-12222-12-1-12-1-2-2-1-1-12-12-100-221111-2-2-1-1-1-122-1-1-1-1-2-22020022-1-1-1-1-2111100-21100110000-1-10000000
χ372-22-2222-2-2-222-2-222i−2i-22-222-2-200002i−2i002i−2i-22000000002-2000002i−2i000002i−2i000002-2000000002i−2i0000000
χ382-22-2222-2-2-222-2-222i−2i-22-222-2-200002i−2i002i−2i-2200000000-2200000−2i2i000002i−2i00000-2200000000−2i2i0000000
χ392-22-2222-2-2-222-2-22−2i2i-22-222-2-20000−2i2i00−2i2i-22000000002-200000−2i2i00000−2i2i000002-200000000−2i2i0000000
χ402-22-2222-2-2-222-2-22−2i2i-22-222-2-20000−2i2i00−2i2i-2200000000-22000002i−2i00000−2i2i00000-22000000002i−2i0000000
χ412-22-2-122-2-212-11-2-12i−2i1-112-1-210000−ii3−32i−2i1-1−i3i300−i3−i3i3i32-2000002i−2i3−33−30−ii3−3000-1100−i3i30000−ii0000000
χ422-22-2-122-2-212-11-2-12i−2i1-112-1-210000−ii3−32i−2i1-1−i3i300−i3−i3i3i3-2200000−2i2i−33−330−ii3−30001-100i3−i30000i−i0000000
χ432-22-2-122-2-212-11-2-12i−2i1-112-1-210000−ii−332i−2i1-1i3−i300i3i3−i3−i32-2000002i−2i−33−330−ii−33000-1100i3−i30000−ii0000000
χ442-22-2-122-2-212-11-2-12i−2i1-112-1-210000−ii−332i−2i1-1i3−i300i3i3−i3−i3-2200000−2i2i3−33−30−ii−330001-100−i3i30000i−i0000000
χ452-22-2-122-2-212-11-2-1−2i2i1-112-1-210000i−i3−3−2i2i1-1i3−i300i3i3−i3−i32-200000−2i2i3−33−30i−i3−3000-1100i3−i30000i−i0000000
χ462-22-2-122-2-212-11-2-1−2i2i1-112-1-210000i−i3−3−2i2i1-1i3−i300i3i3−i3−i3-22000002i−2i−33−330i−i3−30001-100−i3i30000−ii0000000
χ472-22-2-122-2-212-11-2-1−2i2i1-112-1-210000i−i−33−2i2i1-1−i3i300−i3−i3i3i32-200000−2i2i−33−330i−i−33000-1100−i3i30000i−i0000000
χ482-22-2-122-2-212-11-2-1−2i2i1-112-1-210000i−i−33−2i2i1-1−i3i300−i3−i3i3i3-22000002i−2i3−33−30i−i−330001-100i3−i30000−ii0000000
χ4944444-2-4-4-24-244-2-200-2-2-22-42-444000000002200000000000-40-2-2000000000000000002000000000000000
χ5044444-2-4-4-24-244-2-200-2-2-22-42-4-4-4000000002200000000000402200000000000000000-2000000000000000
χ514444-24-4-44-24-2-24-200-2-2-2-42-42000000000022000000000040-4000022-2-2000000000000000000000000000
χ524444-24-4-44-24-2-24-200-2-2-2-42-420000000000220000000000-4040000-2-222000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-222-2-2112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-422-2-222112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-44400-4-4-4-444400-4-4400004-4000000000000000000000004-4000000000000000000000000000000000
χ5844-4-44400-4-4-4-444400-4-440000-4400000000000000000000000-44000000000000000000000000000000000
χ5944-4-44-2002-42-44-2-20022-200004-4000000000000i6−i6i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ6044-4-44-2002-42-44-2-20022-200004-4000000000000−i6i6−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ6144-4-44-2002-42-44-2-20022-20000-44000000000000i6−i6i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ6244-4-44-2002-42-44-2-20022-20000-44000000000000−i6i6−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ634-44-444-44-4-444-4-4400-44-4-4-44400000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-42-4-24-42-24i−4i2-22-242-400004i−4i00−2i2i2-20000000000000000000000−2i2i000000000000000000000000
χ654-44-44-24-42-4-24-42-2−4i4i2-22-242-40000−4i4i002i−2i2-200000000000000000000002i−2i000000000000000000000000
χ664-44-44-2-442-4-24-42-2002-222-4-240000000000-220000000000000000000000000000000000023−2300000000000
χ674-44-44-2-442-4-24-42-2002-222-4-240000000000-2200000000000000000000000000000000000−232300000000000
χ684-44-4-24-44-424-22-4-2002-22-424-20000000000-220000000000000000023−23−2323000000000000000000000000000
χ694-44-4-24-44-424-22-4-2002-22-424-20000000000-2200000000000000000−232323−23000000000000000000000000000
χ704-44-4-2-24-422-2-22214i−4i-11-1-2-2220000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ714-44-4-2-24-422-2-22214i−4i-11-1-2-2220000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ724-44-4-2-24-422-2-2221−4i4i-11-1-2-22200002i−2i23−232i−2i-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ734-44-4-2-24-422-2-2221−4i4i-11-1-2-22200002i−2i−23232i−2i-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ744-4-44440044-4-4-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ754-4-44440044-4-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004444-4-4200-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ7988-8-8-4-4004444-4-4200-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ808-88-8-4-4-8844-4-444200-22-244-4-400000000002-2000000000000000000000000000000000000000000000000
χ818-8-888-400-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4-444442002-2-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-400-4-444442002-2-200000000000000000000−323232−320000000000000000000000000000000000000000

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