Finite Group Databasebeta

← Group #11872301

Character table — Group #11872301

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666662236668812121212242424244444121212124666612121212242424242424244444881212121224242424661212122266681212121224244444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111111-11-1-11111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-11111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-11-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111111111-1-1-11-1111-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11111-11-1-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-111-1-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1111-11-1-11-1-1-111-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-1-1111111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000002-200000022-2-2000000000000020000000-2200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-2200000022220000000000000-200000002-200000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-20000002-2000000-2-2-2-20000000000000200000002-200000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000-22000000-2-2220000000000000-20000000-2200000
χ2122222-122-12-12-1222-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-10200-12-1-100-1-10000-100
χ2222222-122-12-12-1222-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-10-2001-21100110000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-11111112222000000-1-10000-1-11110-200-1-2-1-100110000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-2-2000000110000-1-11110200121100-1-10000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-2-2000000-1-10000111110-200-121100-1-10000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-2220000001100001111102001-2-1-100110000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-111111122-2-2000000-1-1000011-1-1-10200-1-21100110000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-1111111-2-22200000011000011-1-1-10-20012-1-100-1-10000100
χ292222-12222-12-12-122-1-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-100002222-1-100-1-1-1-1-1-12-1-120-1-10000-1-1000000000
χ302222-12222-12-12-122-1-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10000-2-2-2-211001111-1-12-1-1-2011000011000000000
χ312222-12222-12-12-122-1-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-12211-1-1-2-21111000022-2-2-1-1001111-1-1-211-20110000-1-1000000000
χ322222-12222-12-12-122-1-1-1-1-2-2-12-121111-2-2-2-21111-2-1-12211-1-1-2-211110000-2-2221100-1-1-1-1-1-1-21120-1-1000011000000000
χ332222-12222-12-12-1-2-2-1-1-1-122-12-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10000-2-222-1-100-1-1-1-111-211-2011000011000000000
χ342222-12222-12-12-1-2-2-1-1-1-122-12-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1000022-2-21100111111-21120-1-10000-1-1000000000
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-12-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110000-2-2-2-2-1-1001111112-1-120-1-1000011000000000
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-12-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111000022221100-1-1-1-1112-1-1-20110000-1-1000000000
χ3722-2-2222-2-22-2-22-22-22-22-200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i002i−2i0000002-2000000000002i−2i000000000
χ3822-2-2222-2-22-2-22-22-22-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i00−2i2i0000002-200000000000−2i2i000000000
χ3922-2-2222-2-22-2-22-2-222-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i002i−2i000000-2200000000000−2i2i000000000
χ4022-2-2222-2-22-2-22-2-222-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i00−2i2i000000-22000000000002i−2i000000000
χ4122-2-222-22-22-2-22-2002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-22000000002-200002i−2i000000000000000002-20000002i−2i000
χ4222-2-222-22-22-2-22-2002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-2200000000-2200002i−2i00000000000000000-22000000−2i2i000
χ4322-2-222-22-22-2-22-2002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-22000000002-20000−2i2i000000000000000002-2000000−2i2i000
χ4422-2-222-22-22-2-22-2002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-2200000000-220000−2i2i00000000000000000-220000002i−2i000
χ4522-2-2-122-2-2-1-21212-2-11-11001-2-1233−3−32i−2i2i−2i−i−iii0-112-23−3-110033−3−300002i−2i00−ii00−i3−i3i3i3-1103−300−i3i30000−ii000000000
χ4622-2-2-122-2-2-1-21212-2-11-11001-2-1233−3−3−2i2i−2i2iii−i−i0-112-23−3-110033−3−30000−2i2i00i−i00i3i3−i3−i3-1103−300i3−i30000i−i000000000
χ4722-2-2-122-2-2-1-21212-2-11-11001-2-12−3−3332i−2i2i−2i−i−iii0-112-2−33-1100−3−33300002i−2i00−ii00i3i3−i3−i3-110−3300i3−i30000−ii000000000
χ4822-2-2-122-2-2-1-21212-2-11-11001-2-12−3−333−2i2i−2i2iii−i−i0-112-2−33-1100−3−3330000−2i2i00i−i00−i3−i3i3i3-110−3300−i3i30000i−i000000000
χ4922-2-2-122-2-2-1-2121-22-11-11001-2-1233−3−32i−2i2i−2i−i−iii01-1-22−33-110033−3−30000−2i2i00−ii00−i3−i3i3i31-10−3300i3−i30000i−i000000000
χ5022-2-2-122-2-2-1-2121-22-11-11001-2-1233−3−3−2i2i−2i2iii−i−i01-1-22−33-110033−3−300002i−2i00i−i00i3i3−i3−i31-10−3300−i3i30000−ii000000000
χ5122-2-2-122-2-2-1-2121-22-11-11001-2-12−3−3332i−2i2i−2i−i−iii01-1-223−3-1100−3−3330000−2i2i00−ii00i3i3−i3−i31-103−300−i3i30000i−i000000000
χ5222-2-2-122-2-2-1-2121-22-11-11001-2-12−3−333−2i2i−2i2iii−i−i01-1-223−3-1100−3−33300002i−2i00i−i00−i3−i3i3i31-103−300i3−i30000−ii000000000
χ5344444-2-4-4-24-24-2400-2-2-2-200-42-420000000000000000000220000004-400000000220000000000000-200000000000000
χ5444444-2-4-4-24-24-2400-2-2-2-200-42-42000000000000000000022000000-4400000000-2-20000000000000200000000000000
χ554444-24-4-44-24-24-200-2-2-2-2002-42-4000044-4-4222200000002200000000000000-2-2000000000000000000000000000000
χ564444-24-4-44-24-24-200-2-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000022000000000000000000000000000000
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
χ6144-4-44-24-4242-4-2-44-4-22-2200-424-200000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ6244-4-44-24-4242-4-2-4-44-22-2200-424-20000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ6344-4-44-2-44242-4-2-400-22-22004-2-4200000000000000000002-2000000004-400000000000000000000000-2200000000000
χ6444-4-44-2-44242-4-2-400-22-22004-2-4200000000000000000002-200000000-44000000000000000000000002-200000000000
χ6544-4-4-24-44-4-2-424200-22-2200-242-400004i−4i−4i4i2i2i−2i−2i00000002-200000000000000−2i2i000000000000000000000000000000
χ6644-4-4-24-44-4-2-424200-22-2200-242-40000−4i4i4i−4i−2i−2i2i2i00000002-2000000000000002i−2i000000000000000000000000000000
χ6744-4-4-2-24-42-222-224-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ6844-4-4-2-24-42-222-224-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ6944-4-4-2-24-42-222-22-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ7044-4-4-2-24-42-222-22-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ714-44-444004-4-44-4-40044-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-444004-4-44-4-40044-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-2-4242-400-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ744-44-44-200-2-4242-400-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ754-44-44-200-2-4242-400-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ764-44-44-200-2-4242-400-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ774-44-4-240042-4-2-4200-2-222−2i22i20000i2−i2i2−i2000023−2323−23000000000−2i22i2i2−i2i2−i2000000000000i6−i6i6−i6000000000000000000000000
χ784-44-4-240042-4-2-4200-2-222−2i22i20000i2−i2i2−i20000−2323−2323000000000−2i22i2i2−i2i2−i2000000000000−i6i6−i6i6000000000000000000000000
χ794-44-4-240042-4-2-4200-2-2222i2−2i20000−i2i2−i2i2000023−2323−230000000002i2−2i2−i2i2−i2i2000000000000−i6i6−i6i6000000000000000000000000
χ804-44-4-240042-4-2-4200-2-2222i2−2i20000−i2i2−i2i20000−2323−23230000000002i2−2i2−i2i2−i2i2000000000000i6−i6i6−i6000000000000000000000000
χ814-4-444400-4-44-4-44004-4-4400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-44-4-44004-4-44000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-44-2400-4242-4-200-222-2000000i6−i6−i6i60000−2i32i32i3−2i300000000000i6−i6−i6i6000000−222200002−2−22000000000000000000000000
χ844-4-44-2400-4242-4-200-222-2000000i6−i6−i6i600002i3−2i3−2i32i300000000000i6−i6−i6i600000022−220000−222−2000000000000000000000000
χ854-4-44-2400-4242-4-200-222-2000000−i6i6i6−i60000−2i32i32i3−2i300000000000−i6i6i6−i600000022−220000−222−2000000000000000000000000
χ864-4-44-2400-4242-4-200-222-2000000−i6i6i6−i600002i3−2i3−2i32i300000000000−i6i6i6−i6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-884-444-44002-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-400-444-4440022-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-400-444-4440022-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-888-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-4002-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-40044-444-4002-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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