Finite Group Databasebeta

← Group #11872488

Character table — Group #11872488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121241212121212121212242424242424222444881212121224242424121212121244666812121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111111-111111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1111-1-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-11-1-1-11-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1111-1111-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111111-111-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-111-1111-1-111-111-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1-1-11-1-1111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-111-11-1-111111-1-11-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-11-1-11-1-1-111-1-1-111-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-2000000000000020000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-2220000000000000-20000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-2000022-2-2000000000000020000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-22000022220000000000000-20000000-2002000
χ2122222-122-1-1222-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-102-1-1-120000-1-10000-100
χ2222222-122-1-1222-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-10-2111-20000110000100
χ2322222-122-1-1222-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-2-2-1-1-1-11111112222000000-1-10000111-1-10-2-1-1-1-20000110000100
χ2422222-122-1-1222-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-2-2-1-1-1-1111111-2-2-2-2000000110000111-1-10211120000-1-10000-100
χ2522222-122-1-1222-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-122-2-20000001100001111102-1-11-20000110000-100
χ2622222-122-1-1222-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-222000000-1-10000111110-211-120000-1-10000100
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-22211-1-111111122-2-2000000110000-1-1-1110-2-1-1120000-1-10000100
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-22211-1-1111111-2-222000000-1-10000-1-1-1110211-1-20000110000-100
χ292222-122222-1-1-12-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-100002222-1-100-1-1-1-12-1-1-1-1200000-1-1-1-1000000000
χ302222-122222-1-1-12-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10000-2-2-2-2110011112-1-1-1-1-2000001111000000000
χ312222-122222-1-1-12-122-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-11122-1-1-2-21111000022-2-2-1-1001111-211-1-1-20000011-1-1000000000
χ322222-122222-1-1-12-122-1-1-1-2-2-12-121111-2-2-2-21111-2-1-11122-1-1-2-211110000-2-2221100-1-1-1-1-211-1-1200000-1-111000000000
χ332222-122222-1-1-12-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10000-2-222-1-100-1-1-1-1-21111-2000001111000000000
χ342222-122222-1-1-12-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1000022-2-211001111-21111200000-1-1-1-1000000000
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-1211-1-1-2-2-1-1-2-211110000-2-2-2-2-1-10011112-1-111200000-1-111000000000
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-12-121111-2-2-2-21111211-1-1-2-2-1-1-2-21111000022221100-1-1-1-12-1-111-20000011-1-1000000000
χ3722-2-2222-2-2-2-22-2222-2-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i02-2002-22-200000000002i−2i002i−2i0000000002-2000000002i−2i000000000
χ3822-2-2222-2-2-2-22-2222-2-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i02-2002-22-20000000000−2i2i00−2i2i0000000002-200000000−2i2i000000000
χ3922-2-2222-2-2-2-22-222-22-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i0-2200-222-20000000000−2i2i002i−2i000000000-2200000000−2i2i000000000
χ4022-2-2222-2-2-2-22-222-22-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i0-2200-222-200000000002i−2i00−2i2i000000000-22000000002i−2i000000000
χ4122-2-222-22-2-2-22-22200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000002-2000000−2i2i00000000000002-20000000002i−2i0000
χ4222-2-222-22-2-2-22-22200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-22000000-22000000−2i2i0000000000000-22000000000−2i2i0000
χ4322-2-222-22-2-2-22-22200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000002-20000002i−2i00000000000002-2000000000−2i2i0000
χ4422-2-222-22-2-2-22-22200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-22000000-220000002i−2i0000000000000-220000000002i−2i0000
χ4522-2-2-122-2-2-21-112-12-211-1001-2-1233−3−32i−2i2i−2i−i−iii0-113−32-2-110033−3−300002i−2i00−ii00−i3−i3i3i303−3-11000000−i3i3−ii000000000
χ4622-2-2-122-2-2-21-112-12-211-1001-2-1233−3−3−2i2i−2i2iii−i−i0-113−32-2-110033−3−30000−2i2i00i−i00i3i3−i3−i303−3-11000000i3−i3i−i000000000
χ4722-2-2-122-2-2-21-112-12-211-1001-2-12−3−3332i−2i2i−2i−i−iii0-11−332-2-1100−3−33300002i−2i00−ii00i3i3−i3−i30−33-11000000i3−i3−ii000000000
χ4822-2-2-122-2-2-21-112-12-211-1001-2-12−3−333−2i2i−2i2iii−i−i0-11−332-2-1100−3−3330000−2i2i00i−i00−i3−i3i3i30−33-11000000−i3i3i−i000000000
χ4922-2-2-122-2-2-21-112-1-2211-1001-2-1233−3−32i−2i2i−2i−i−iii01-1−33-22-110033−3−30000−2i2i00−ii00−i3−i3i3i30−331-1000000i3−i3i−i000000000
χ5022-2-2-122-2-2-21-112-1-2211-1001-2-1233−3−3−2i2i−2i2iii−i−i01-1−33-22-110033−3−300002i−2i00i−i00i3i3−i3−i30−331-1000000−i3i3−ii000000000
χ5122-2-2-122-2-2-21-112-1-2211-1001-2-12−3−3332i−2i2i−2i−i−iii01-13−3-22-1100−3−3330000−2i2i00−ii00i3i3−i3−i303−31-1000000−i3i3i−i000000000
χ5222-2-2-122-2-2-21-112-1-2211-1001-2-12−3−333−2i2i−2i2iii−i−i01-13−3-22-1100−3−33300002i−2i00i−i00−i3−i3i3i303−31-1000000i3−i3−ii000000000
χ5344444-2-4-4-2-2444-2-200-2-2-200-42-42000000000000000000022000000004-4000000220000000000000-200000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-200-42-4200000000000000000002200000000-44000000-2-20000000000000200000000000000
χ554444-24-4-444-2-2-24-200-2-2-2002-42-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-2002-42-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-422-44-4-2-24-422-200-424-200000000000004-400-22-220000000000000000000000000-220000000000000000000
χ6244-4-44-24-422-44-4-2-2-4422-200-424-20000000000000-44002-2-2200000000000000000000000002-20000000000000000000
χ6344-4-44-2-4422-44-4-2-20022-2004-2-4200000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6444-4-44-2-4422-44-4-2-20022-2004-2-4200000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6544-4-4-24-44-4-42-224-20022-200-242-400004i−4i−4i4i−2i−2i2i2i00000002-2000000000000002i−2i000000000000000000000000000000
χ6644-4-4-24-44-4-42-224-20022-200-242-40000−4i4i4i−4i2i2i−2i−2i00000002-200000000000000−2i2i000000000000000000000000000000
χ6744-4-4-2-24-4222-22-214-4-1-110022-2-22323−23−23000000000-2223−23-221-100−3−33300000000000000000−331-10000000000000000000
χ6844-4-4-2-24-4222-22-214-4-1-110022-2-2−23−232323000000000-22−2323-221-10033−3−3000000000000000003−31-10000000000000000000
χ6944-4-4-2-24-4222-22-21-44-1-110022-2-22323−23−230000000002-2−23232-21-100−3−333000000000000000003−3-110000000000000000000
χ7044-4-4-2-24-4222-22-21-44-1-110022-2-2−23−2323230000000002-223−232-21-10033−3−300000000000000000−33-110000000000000000000
χ714-44-444004-44-4-4-44004-4-400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ724-44-444004-44-4-4-44004-4-4000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ734-44-4-24004-4-222-4-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i600000022−220000−22−22000000000000000000000000
χ744-44-4-24004-4-222-4-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i6000000−222200002−22−2000000000000000000000000
χ754-44-4-24004-4-222-4-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i6000000−222200002−22−2000000000000000000000000
χ764-44-4-24004-4-222-4-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i600000022−220000−22−22000000000000000000000000
χ774-4-444400-44-4-44-4400-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-44-4-44-4400-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-2002-2-4-442-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000000023−230000000000000000000i6−i60000000
χ804-4-444-2002-2-4-442-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000000000−23230000000000000000000−i6i60000000
χ814-4-444-2002-2-4-442-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000000023−230000000000000000000−i6i60000000
χ824-4-444-2002-2-4-442-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000000000−23230000000000000000000i6−i60000000
χ834-4-44-2400-4422-2-4-2002-22−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ844-4-44-2400-4422-2-4-2002-22−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ854-4-44-2400-4422-2-4-2002-222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ864-4-44-2400-4422-2-4-2002-222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88444-44-4200-2-2200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-400-448-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-44-44442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-400-44-44442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-4004-444-44200-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-4004-444-44200-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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