Finite Group Databasebeta

← Group #11882281

Character table — Group #11882281

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212888888881212121212121212224444444412121212121212122424242424242424422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1
χ9111111-1-1111111111-1111-1-1-1-111111-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-111-1-111-1-111-1-111-1-1-11-1
χ10111111-1-1111111111-1111-1-1-1-111111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11
χ11111111-1-1111111111-1111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-111-1-1-11111-1-1-1-11111-1-11-11
χ12111111-1-1111111111-1111-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-1-111-1-111-11-1
χ13111111-1-1111111111-1111-1-1-1-11111-11-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-11-11-1-111-1-11111-1-111-1-1-1-11
χ14111111-1-1111111111-1111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-1-11111-1-111-1-1-1-11111-1
χ15111111-1-1111111111-1111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1-1111-1-1-1-111-1-11111-1-111-1
χ16111111-1-1111111111-1111-1-1-1-11111-11-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1111-11-111-1-111-1-1-1-111-1-111-1-11
χ1722222222-2-22222222-22222222-2-2-2-200-2-2-2-2-2-22200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-200-2-2-2-2-2-2220000000000000000-2-2-2-22200000000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2000000000000000022-2-2-2-200000000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-20000000000000000-2-2222200000000000000000000-200
χ2122222-122222-122-1-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-1000022222-12-1-1-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ2222222-122222-122-1-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-10000-2-2-2-22-12-1-1-1-1-100000000-2-20000111100001111000
χ2322222-122222-122-1-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-100002222-21-21111100000000-2-2000011110000-1-1-1-1000
χ2422222-122222-122-1-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-10000-2-2-2-2-21-21111100000000220000-1-1-1-100001111000
χ2522222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-12-12-2-21-1-11111000022-2-22-1-21-1-111000000002-20000-1-1110000-1-111000
χ2622222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-12-12-2-21-1-111110000-2-2222-1-21-1-11100000000-22000011-1-1000011-1-1000
χ2722222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-12-1-22-21-1-11111000022-2-2-212-111-1-100000000-22000011-1-10000-1-111000
χ2822222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-12-1-22-21-1-111110000-2-222-212-111-1-1000000002-20000-1-111000011-1-1000
χ292222-122222-12-1-122-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-122220000-12-12-1-1-1-10000002200-1-1-1-10000-1-1-1-10000000
χ302222-122222-12-1-122-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-1-2-2-2-20000-12-12-1-1-1-1000000-2-2001111000011110000000
χ312222-122222-12-1-122-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-1222200001-21-21111000000-2-20011110000-1-1-1-10000000
χ322222-122222-12-1-122-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-1-2-2-2-200001-21-211110000002200-1-1-1-1000011110000000
χ332222-12-2-222-12-1-122-1-2-1-1-111-2-2-12-122-21-2-1-1111122-2-20000-121-2-1-1110000002-200-1-1110000-1-1110000000
χ342222-12-2-222-12-1-122-1-2-1-1-111-2-2-12-122-21-2-1-11111-2-2220000-121-2-1-111000000-220011-1-1000011-1-10000000
χ352222-12-2-222-12-1-122-1-2-1-1-111-2-2-12-12-221-2-1-1111122-2-200001-2-1211-1-1000000-220011-1-10000-1-1110000000
χ362222-12-2-222-12-1-122-1-2-1-1-111-2-2-12-12-221-2-1-11111-2-22200001-2-1211-1-10000002-200-1-111000011-1-10000000
χ3722-2-2222-20022-2-2-2-220-2-222-22-20000000000002-2−i2i2−i2i2−i2i2−i2i2000000002-22-200000000000000−i2i2−i2i2−i2i2−i2i2000
χ3822-2-2222-20022-2-2-2-220-2-222-22-20000000000002-2−i2i2−i2i2i2−i2i2−i200000000-22-2200000000000000−i2i2−i2i2i2−i2i2−i2000
χ3922-2-2222-20022-2-2-2-220-2-222-22-20000000000002-2i2−i2i2−i2−i2i2−i2i200000000-22-2200000000000000i2−i2i2−i2−i2i2−i2i2000
χ4022-2-2222-20022-2-2-2-220-2-222-22-20000000000002-2i2−i2i2−i2i2−i2i2−i2000000002-22-200000000000000i2−i2i2−i2i2−i2i2−i2000
χ4122-2-222-220022-2-2-2-220-2-22-22-22000000000000-22−i2i2i2−i2−i2i2i2−i2000000002-2-2200000000000000−i2i2i2−i2−i2i2i2−i2000
χ4222-2-222-220022-2-2-2-220-2-22-22-22000000000000-22−i2i2i2−i2i2−i2−i2i200000000-222-200000000000000−i2i2i2−i2i2−i2−i2i2000
χ4322-2-222-220022-2-2-2-220-2-22-22-22000000000000-22i2−i2−i2i2−i2i2i2−i200000000-222-200000000000000i2−i2−i2i2−i2i2i2−i2000
χ4422-2-222-220022-2-2-2-220-2-22-22-22000000000000-22i2−i2−i2i2i2−i2−i2i2000000002-2-2200000000000000i2−i2−i2i2i2−i2−i2i2000
χ4544444-244-4-44-244-2-2-2-4-2-2-244-2-2-42-4200-422222-2-2000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-244-2-2-24-2-2-2-4-422-42-42004-222-2-222000000000000000000000000000000000000000000000
χ474444-2444-4-4-24-2-244-2-4-2-2-2-2-2442-42-4002-42222-2-2000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-2-244-24-2-2-222-4-42-42-400-2422-2-222000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-2-2-2111100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000002222-1-1-1-100000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222220022-1-1-1-1110000000000003-33-300000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222220022-1-1-1-111000000000000-33-3300000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-24-42211-1-1-1-100000000-2-22211-1-100000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-2-442211-1-1-1-10000000022-2-2-1-11100000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000003-3-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-1000000000000-333-300000000000000000000000000000
χ5744-4-44-24-4004-2-4-422-2022-24-4-22000000000000-220000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i2000
χ5844-4-44-24-4004-2-4-422-2022-24-4-22000000000000-2200002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i2000
χ5944-4-44-2-44004-2-4-422-2022-2-442-20000000000002-20000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2000
χ6044-4-44-2-44004-2-4-422-2022-2-442-20000000000002-200002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2000
χ6144-4-4-244-400-2422-4-4-2022-2-224-4000000000000-22−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i20000000
χ6244-4-4-244-400-2422-4-4-2022-2-224-4000000000000-222i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i20000000
χ6344-4-4-24-4400-2422-4-4-2022-22-2-440000000000002-2−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i20000000
χ6444-4-4-24-4400-2422-4-4-2022-22-2-440000000000002-22i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i20000000
χ654-44-4440000-4-44-44-4404-4-4000000000000000000000000000000000000004i−4i00000000000000000000000
χ664-44-4440000-4-44-44-4404-4-400000000000000000000000000000000000000−4i4i00000000000000000000000
χ674-4-4444004-4-4-4-44-4440-44-4000044-4-400004-40000000000000000000000000000000000000000000000000
χ684-4-444400-44-4-4-44-4440-44-40000-4-4440000-440000000000000000000000000000000000000000000000000
χ694-4-444-2004-4-42-442-2-202-2200004-2-420000-220000000000000000000000000000000000−2i32i30000000000000
χ704-4-444-2004-4-42-442-2-202-2200004-2-420000-2200000000000000000000000000000000002i3−2i30000000000000
χ714-4-444-200-44-42-442-2-202-220000-424-200002-200000000000000000000000000000000000023−2300000000000
χ724-4-444-200-44-42-442-2-202-220000-424-200002-2000000000000000000000000000000000000−232300000000000
χ734-4-44-24004-42-42-2-44-202-220000-242-40000-2200000000000000000000000000000000−2i32i3000000000000000
χ744-4-44-24004-42-42-2-44-202-220000-242-40000-22000000000000000000000000000000002i3−2i3000000000000000
χ754-4-44-2400-442-42-2-44-202-2200002-4-2400002-200000000000000000000000000000023−2300000000000000000
χ764-4-44-2400-442-42-2-44-202-2200002-4-2400002-2000000000000000000000000000000−232300000000000000000
χ7788-8-8-4-48-800-4-4444420-2-22-44-440000000000002-2000000000000000000000000000000000000000000000
χ7888-8-8-4-4-8800-4-4444420-2-224-44-4000000000000-22000000000000000000000000000000000000000000000
χ798-88-88-40000-848-8-44-40-444000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800004-8-448-8-40-444000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4000044-44-44202-2-2000000000000006-600000000000000000000000000000000000000000000000
χ828-88-8-4-4000044-44-44202-2-200000000000000-6600000000000000000000000000000000000000000000000
χ838-8-88-4-4008-8444-44-420-22-20000-4-44400002-20000000000000000000000000000000000000000000000000
χ848-8-88-4-400-88444-44-420-22-2000044-4-40000-220000000000000000000000000000000000000000000000000

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