Finite Group Databasebeta

← Group #11897598

Character table — Group #11897598

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order12223344666666223666881212121224242424441212121246666121212122424242424242244488121212122424242466121212444668121212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-1111111-11-1-111-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111-1-1-111111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-11-111-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-111111111-1-1-1-1-1111-11-1-111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-11-1-1111-1-1-1-1-111111-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-11111-1-11111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-11111-1-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-11111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111-1-1-1-1111-1-1-1-1-1-11-111
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-111-1-11-111111111-11-1-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-200000000-22-200-2-2-2-200000000000000020000002-20000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-200000000-2-2200-2-222000000000000000-2000000-220000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-20022-2-20000000000000002000000-220000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000002-22002222000000000000000-20000002-20000
χ2122222-1222-1-122-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-12220022-1-100-1-1-1-1-1-12-1-1020-1-100-1-10000000000
χ2222222-1222-1-122-122-1-1-1-1222-1-12-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-1-2-2-200-2-211001111-1-12-1-10-201100110000000000
χ2322222-1222-1-122-122-1-1-1-1-2-22-1-12111122-1-1-1-1-222-1-111-1-1-2-21111-2-2200-2-2-1-1001111-1-1-2110201100-1-10000000000
χ2422222-1222-1-122-122-1-1-1-1-2-22-1-121111-2-21111-222-1-111-1-1-2-2111122-200221100-1-1-1-1-1-1-2110-20-1-100110000000000
χ2522222-1222-1-122-1-2-2-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-220022-1-100-1-1-1-111-2110-201100110000000000
χ2622222-1222-1-122-1-2-2-1-1-1-1222-1-12-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-122-200-2-21100111111-211020-1-100-1-10000000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-2-22-1-12111122-1-1-1-12-2-211-1-1-1-1-2-2111122200-2-2-1-1001111112-1-10-20-1-100110000000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-2-22-1-121111-2-211112-2-211-1-1-1-1-2-21111-2-2-200221100-1-1-1-1112-1-10201100-1-10000000000
χ292222-1222-122-1-1222-1-1-1-122-122-122220000002-1-12222-1-1-1-1-1-1-1-1000220000-1-10000-1-1-1-1-1202002-100-1-1-1-100-1000
χ302222-1222-122-1-1222-1-1-1-122-122-122220000002-1-12222-1-1-1-1-1-1-1-1000-2-20000110000-1-1-1-1-1-20-200-21001111001000
χ312222-1222-122-1-1222-1-1-1-1-2-2-122-1-2-2-2-2000000-2-1-122-2-2-1-1111111000220000-1-10000-1-1111-20200-2-100-1-111001000
χ322222-1222-122-1-1222-1-1-1-1-2-2-122-1-2-2-2-2000000-2-1-122-2-2-1-1111111000-2-20000110000-1-111120-200210011-1-100-1000
χ332222-1222-122-1-12-2-2-1-1-1-122-122-12222000000-211-2-2-2-2-1-1-1-1-1-1-1-1000220000-1-1000011111-20-2002-10011-1-1001000
χ342222-1222-122-1-12-2-2-1-1-1-122-122-12222000000-211-2-2-2-2-1-1-1-1-1-1-1-1000-2-200001100001111120200-2100-1-11100-1000
χ352222-1222-122-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000211-2-222-1-1111111000220000-1-1000011-1-1-120-200-2-100111100-1000
χ362222-1222-122-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000211-2-222-1-1111111000-2-2000011000011-1-1-1-202002100-1-1-1-1001000
χ3722-2-2222-222-2-2-2-22-22-22-2002-22-2000000000002-22-2002-20000002-20002-2000022-2-22-20000002-200000000000000
χ3822-2-2222-222-2-2-2-22-22-22-2002-22-2000000000002-22-2002-2000000-22000-220000-2-2222-2000000-2200000000000000
χ3922-2-2222-222-2-2-2-2-222-22-2002-22-200000000000-22-22002-20000002-2000-220000-2-222-220000002-200000000000000
χ4022-2-2222-222-2-2-2-2-222-22-2002-22-200000000000-22-22002-2000000-220002-2000022-2-2-22000000-2200000000000000
χ4122-2-22-12-22-11-2-212-2-11-110021-1-233−3−30033−3−302-2-113−3-110033−3−32-20002-23−300-1-111-1103−3000-11003−30000000000
χ4222-2-22-12-22-11-2-212-2-11-110021-1-233−3−300−3−33302-2-113−3-110033−3−3-22000-22−330011-1-1-1103−30001-100−330000000000
χ4322-2-22-12-22-11-2-212-2-11-110021-1-2−3−3330033−3−302-2-11−33-1100−3−333-22000-223−30011-1-1-110−330001-1003−30000000000
χ4422-2-22-12-22-11-2-212-2-11-110021-1-2−3−33300−3−33302-2-11−33-1100−3−3332-20002-2−3300-1-111-110−33000-1100−330000000000
χ4522-2-22-12-22-11-2-21-22-11-110021-1-233−3−30033−3−30-221-1−33-110033−3−3-220002-23−300-1-1111-10−330001-100−330000000000
χ4622-2-22-12-22-11-2-21-22-11-110021-1-233−3−300−3−3330-221-1−33-110033−3−32-2000-22−330011-1-11-10−33000-11003−30000000000
χ4722-2-22-12-22-11-2-21-22-11-110021-1-2−3−3330033−3−30-221-13−3-1100−3−3332-2000-223−30011-1-11-103−3000-1100−330000000000
χ4822-2-22-12-22-11-2-21-22-11-110021-1-2−3−33300−3−3330-221-13−3-1100−3−333-220002-2−3300-1-1111-103−30001-1003−30000000000
χ4944444-2-4-44-2-244-200-2-2-2-200-422-4000044-2-2-2-200000002200000000-4000022000000000000000000000000000000
χ5044444-2-4-44-2-244-200-2-2-2-200-422-40000-4-422220000000220000000040000-2-2000000000000000000000000000000
χ514444-24-4-4-244-2-2400-2-2-2-2002-4-4200000000000000000220000000004-4000022000000000000000-2000000000000
χ524444-24-4-4-244-2-2400-2-2-2-2002-4-420000000000000000022000000000-440000-2-20000000000000002000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-2111100000000000000011-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000112-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-21111000000000000000-1-12-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-1-1-2110000000000000000000
χ5744-4-444-4444-4-4-4-4004-44-400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-2-444-22-4-4200-22-2200-4-2240000002323−23−2300000002-20000000000000−2323000000000000000000000000000000
χ5944-4-44-2-444-22-4-4200-22-2200-4-224000000−23−23232300000002-2000000000000023−23000000000000000000000000000000
χ6044-4-4-244-4-24-422-44-4-22-2200-2-44200000000000-224-400-22000000000000000000000-220000000000000000000000
χ6144-4-4-244-4-24-422-4-44-22-2200-2-442000000000002-2-4400-220000000000000000000002-20000000000000000000000
χ6244-4-4-24-44-24-422-400-22-220024-4-2000000000000000002-20000000000000000000000000000000000023−2300000000
χ6344-4-4-24-44-24-422-400-22-220024-4-2000000000000000002-200000000000000000000000000000000000−232300000000
χ6444-4-4-2-24-4-2-222224-41-11-100-22-222323−23−230000000-22-2223−231-100−3−3330000000000000001-10−330000000000000000000
χ6544-4-4-2-24-4-2-222224-41-11-100-22-22−23−2323230000000-22-22−23231-10033−3−30000000000000001-103−30000000000000000000
χ6644-4-4-2-24-4-2-22222-441-11-100-22-222323−23−2300000002-22-2−23231-100−3−333000000000000000-1103−30000000000000000000
χ6744-4-4-2-24-4-2-22222-441-11-100-22-22−23−23232300000002-22-223−231-10033−3−3000000000000000-110−330000000000000000000
χ684-44-44400-4-444-4-40044-4-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ694-44-44400-4-444-4-40044-4-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ704-44-44-200-42-24-4200-2-222−2i22i20000i2−i2i2−i20023−2323−23000000000−2i22i2i2−i2i2−i200000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-200-42-24-4200-2-222−2i22i20000i2−i2i2−i200−2323−2323000000000−2i22i2i2−i2i2−i200000000000−i6i6−i6i6000000000000000000000000
χ724-44-44-200-42-24-4200-2-2222i2−2i20000−i2i2−i2i20023−2323−230000000002i2−2i2−i2i2−i2i200000000000−i6i6−i6i6000000000000000000000000
χ734-44-44-200-42-24-4200-2-2222i2−2i20000−i2i2−i2i200−2323−23230000000002i2−2i2−i2i2−i2i200000000000i6−i6i6−i6000000000000000000000000
χ744-44-4-24002-44-22-400-2-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000000023−2300000000000000000000i6−i6000000
χ754-44-4-24002-44-22-400-2-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000000−232300000000000000000000−i6i6000000
χ764-44-4-24002-44-22-400-2-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000000023−2300000000000000000000−i6i6000000
χ774-44-4-24002-44-22-400-2-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000000−232300000000000000000000i6−i6000000
χ784-4-444400-4-4-4-444004-4-4400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ794-4-444400-4-4-4-444004-4-440000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ804-4-444-200-422-44-200-222-2000000i6−i6−i6i64-4-222-200000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ814-4-444-200-422-44-200-222-2000000i6−i6−i6i6-442-2-2200000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ824-4-444-200-422-44-200-222-2000000−i6i6i6−i64-4-222-200000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ834-4-444-200-422-44-200-222-2000000−i6i6i6−i6-442-2-2200000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88-4-44444002-22-2004-44-400000000000000000-22000000000000000000000000000000000000000000000
χ868-88-8-4-40044-4-4440022-2-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ878-88-8-4-40044-4-4440022-2-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ888-8-88-48004-8-84-4800-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-4002-2-220000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-4002-2-22000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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