Finite Group Databasebeta

← Group #11872824

Character table — Group #11872824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666662236668812121212242424244444121212124666612121212242424242424222444668812122424242466121212446681212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111-11111-1-1-1-1111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-11-1-111-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-11-111-111-1-11-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1111-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111111-1-1-11111-1-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111-1-1-111-1-11-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1111-1-1111-1-111-111-1-111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1111-11-1-1-1-1-1111-1-111-1-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000002-200220022000000000000000000-20000-22000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-2200-2-20022000000000000000000200002-2000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000002-2002200-2-2000000000000000000-200002-2000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-200000000-2200-2-200-2-200000000000000000020000-22000
χ2122222-122-1-1222-122-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1222200-1-100000000-1-1-1-1-102-1-120000-1-1-10000-100
χ2222222-122-1-1222-122-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-2-2001100000000-1-1-1-1-10-211-200001110000100
χ2322222-122-1-1222-122-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111222200-1-100000000-1-11110-2-1-1-20000-1110000100
χ2422222-122-1-1222-122-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-2-2001100000000-1-11110211200001-1-10000-100
χ2522222-122-1-1222-1-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-2-20011000000001111102-1-1-200001110000-100
χ2622222-122-1-1222-1-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-22200-1-100000000111110-21120000-1-1-10000100
χ2722222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-111111122-2-200110000000011-1-1-10-2-1-1200001-1-10000100
χ2822222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-1111111-2-22200-1-10000000011-1-1-10211-20000-1110000-100
χ292222-122222-1-1-1222-1-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10000220022-1-1-1-1-1-1-1-12-1-120000-1-1-1-10000000000
χ302222-122222-1-1-1222-1-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10000-2-200-2-2111111-1-12-1-1-2000011110000000000
χ312222-122222-1-1-1222-1-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-12211-1-1-2-2111100002200-2-2-1-11111-1-1-211-2000011-1-10000000000
χ322222-122222-1-1-1222-1-1-1-1-2-2-12-121111-2-2-2-21111-2-1-12211-1-1-2-211110000-2-2002211-1-1-1-1-1-1-21120000-1-1110000000000
χ332222-122222-1-1-12-2-2-1-1-1-122-12-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10000-2-20022-1-1-1-1-1-111-211-2000011110000000000
χ342222-122222-1-1-12-2-2-1-1-1-122-12-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-100002200-2-211111111-21120000-1-1-1-10000000000
χ352222-122222-1-1-12-2-2-1-1-1-1-2-2-12-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110000-2-200-2-2-1-11111112-1-120000-1-1110000000000
χ362222-122222-1-1-12-2-2-1-1-1-1-2-2-12-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111000022002211-1-1-1-1112-1-1-2000011-1-10000000000
χ3722-2-2222-2-2-2-22-222-22-22-200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i00002i−2i00002-200000000002i−2i0000000000
χ3822-2-2222-2-2-2-22-222-22-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i0000−2i2i00002-20000000000−2i2i0000000000
χ3922-2-2222-2-2-2-22-22-222-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i00002i−2i0000-220000000000−2i2i0000000000
χ4022-2-2222-2-2-2-22-22-222-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i0000−2i2i0000-2200000000002i−2i0000000000
χ4122-2-222-22-2-2-22-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-220000002-2000000002i−2i000000000002-2000000002i−2i00000
χ4222-2-222-22-2-2-22-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-22000000-22000000002i−2i00000000000-2200000000−2i2i00000
χ4322-2-222-22-2-2-22-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-220000002-200000000−2i2i000000000002-200000000−2i2i00000
χ4422-2-222-22-2-2-22-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-22000000-2200000000−2i2i00000000000-22000000002i−2i00000
χ4522-2-2-122-2-2-21-1122-2-11-11001-2-1233−3−32i−2i2i−2i−i−iii0-112-23−3-110033−3−300002i−2i0000−ii−i3−i3i3i3-1103−300000−i3i3−ii0000000000
χ4622-2-2-122-2-2-21-1122-2-11-11001-2-1233−3−3−2i2i−2i2iii−i−i0-112-23−3-110033−3−30000−2i2i0000i−ii3i3−i3−i3-1103−300000i3−i3i−i0000000000
χ4722-2-2-122-2-2-21-1122-2-11-11001-2-12−3−3332i−2i2i−2i−i−iii0-112-2−33-1100−3−33300002i−2i0000−iii3i3−i3−i3-110−3300000i3−i3−ii0000000000
χ4822-2-2-122-2-2-21-1122-2-11-11001-2-12−3−333−2i2i−2i2iii−i−i0-112-2−33-1100−3−3330000−2i2i0000i−i−i3−i3i3i3-110−3300000−i3i3i−i0000000000
χ4922-2-2-122-2-2-21-112-22-11-11001-2-1233−3−32i−2i2i−2i−i−iii01-1-22−33-110033−3−30000−2i2i0000−ii−i3−i3i3i31-10−3300000i3−i3i−i0000000000
χ5022-2-2-122-2-2-21-112-22-11-11001-2-1233−3−3−2i2i−2i2iii−i−i01-1-22−33-110033−3−300002i−2i0000i−ii3i3−i3−i31-10−3300000−i3i3−ii0000000000
χ5122-2-2-122-2-2-21-112-22-11-11001-2-12−3−3332i−2i2i−2i−i−iii01-1-223−3-1100−3−3330000−2i2i0000−iii3i3−i3−i31-103−300000−i3i3i−i0000000000
χ5222-2-2-122-2-2-21-112-22-11-11001-2-12−3−333−2i2i−2i2iii−i−i01-1-223−3-1100−3−33300002i−2i0000i−i−i3−i3i3i31-103−300000i3−i3−ii0000000000
χ5344444-2-4-4-2-2444-200-2-2-2-200-42-42000000000000000000022000000004-400-2-200000000000000000000002000000000
χ5444444-2-4-4-2-2444-200-2-2-2-200-42-4200000000000000000002200000000-4400220000000000000000000000-2000000000
χ554444-24-4-444-2-2-2400-2-2-2-2002-42-4000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ564444-24-4-444-2-2-2400-2-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44-24-422-44-4-24-4-22-2200-424-200000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ6244-4-44-24-422-44-4-2-44-22-2200-424-20000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ6344-4-44-2-4422-44-4-200-22-22004-2-4200000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6444-4-44-2-4422-44-4-200-22-22004-2-4200000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6544-4-4-24-44-4-42-22400-22-2200-242-400004i−4i−4i4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ6644-4-4-24-44-4-42-22400-22-2200-242-40000−4i4i4i−4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ6744-4-4-2-24-4222-22-24-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ6844-4-4-2-24-4222-22-24-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ6944-4-4-2-24-4222-22-2-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ7044-4-4-2-24-4222-22-2-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ714-44-44400-444-4-4-4004-4-4400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-44400-444-4-4-4004-4-44000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-2400-44-222-400-222-2000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-2400-44-222-400-222-2000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-2400-44-222-400-222-2000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-2400-44-222-400-222-2000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-4444004-4-4-44-40044-4-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-4444004-4-4-44-40044-4-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-200-22-4-44200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ804-4-444-200-22-4-44200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ814-4-444-200-22-4-44200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ824-4-444-200-22-4-44200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ834-4-44-24004-422-2-400-2-222−2i22i20000i2−i2−i2i20000−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i20000000000006−6−66000000000000000000000000
χ844-4-44-24004-422-2-400-2-222−2i22i20000i2−i2−i2i200002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i2000000000000−666−6000000000000000000000000
χ854-4-44-24004-422-2-400-2-2222i2−2i20000−i2i2i2−i20000−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i2000000000000−666−6000000000000000000000000
χ864-4-44-24004-422-2-400-2-2222i2−2i20000−i2i2i2−i200002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i20000000000006−6−66000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88444-44-4002-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-4004-48-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004-4-4444002-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-4004-4-4444002-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-400-4444-440022-2-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-400-4444-440022-2-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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