Finite Group Databasebeta

← Group #11882334

Character table — Group #11882334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444412121212246612121212121212121246688881212121266612121224446612121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111111-1-111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-11111-1-111-1-1111-1-1-11-11-111-1-111-1-111-1-111-1-1-11
χ101111111-1-111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-111-1-11111-1-1111-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ111111111-1-111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-11111-1-111-1-1-1-1-1111-11-11-1-111-1-11111-1-111-1-11-1
χ121111111-1-111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-111-11
χ131111111-1-111111111-1111111-1-1-1-1-1-11-1-1-1-11111111-111-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1
χ141111111-1-111111111-1111111-1-1-1-1-1-11-1-1-1-11111111-111-1-1-1-1-1-1-1111-1-1-1-111-1-111111-1-1-1-11-11-1-111-1-111-1-11111-1-1-11
χ151111111-1-111111111-1111111-1-1-1-1-1-11-1-1-1-1111111-11-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1111-1-111-1-11111-1-111-1-1-1-111-11
χ161111111-1-111111111-1111111-1-1-1-1-1-11-1-1-1-1111111-11-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-1-11111-11-111-1-111-1-1-1-11111-1-11-1
χ17222222-222-22222222-2222-2-2-22222-2-2-222-2-2-2-2-2-2-2-20000-20022-2-2-2-22220000-2-2220000000000000000000000000000
χ18222222-222-22222222-2222-2-2-22222-2-2-2-2-2222222220000-20022-2-2-2-2-2-2-2000022-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-222-2-22222220000200-2-222-2-2-2220000-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-2-20000200-2-222-2-22-2-2000022220000000000000000000000000000
χ2122222-12222-1-12-122-12-1-1-1-122-1-12222-100000000002222-122-1-1-1-1-1-100022220000-1-1-1-1-1-12002-1-1-1-10000-1-1-1-1000000
χ2222222-12222-1-12-122-12-1-1-1-122-1-12222-100000000002222-122-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-200-2111100001111000000
χ2322222-12222-1-12-122-12-1-1-1-122-1-12222-10000000000-2-2-2-2-1-2-2-1-1-1-1-1-100022220000111111-200-211110000-1-1-1-1000000
χ2422222-12222-1-12-122-12-1-1-1-122-1-12222-10000000000-2-2-2-2-1-2-2-1-1-1-1-1-1000-2-2-2-200001111112002-1-1-1-100001111000000
χ2522222-12-2-22-1-12-122-1-2-1-1-1-12211-2-2-2-2-100000000002-2221-2-21111-1-100022-2-20000-1-1-1111200-2-1-1110000-1-111000000
χ2622222-12-2-22-1-12-122-1-2-1-1-1-12211-2-2-2-2-100000000002-2221-2-21111-1-1000-2-2220000-1-1-1111-200211-1-1000011-1-1000000
χ2722222-12-2-22-1-12-122-1-2-1-1-1-12211-2-2-2-2-10000000000-22-2-21221111-1-100022-2-20000111-1-1-1-200211-1-10000-1-111000000
χ2822222-12-2-22-1-12-122-1-2-1-1-1-12211-2-2-2-2-10000000000-22-2-21221111-1-1000-2-2220000111-1-1-1200-2-1-111000011-1-1000000
χ292222-12222222-12-1-1-12-1-1-12-1-122-1-1-1-12222222-1-1-1-122-1-12-1-1-1-1-1-1-1-12-1-10000-1-1-1-12-1-12-1-102200000-1-1-1-10000000000
χ302222-12222222-12-1-1-12-1-1-12-1-122-1-1-1-12222222-1-1-1-1-2-211211-1-1-1-1-1-12-1-10000-1-1-1-1-211-2110-2-20000011110000000000
χ312222-12222222-12-1-1-12-1-1-12-1-122-1-1-1-12-2-2-2-2-2-2111122-1-12-1-1-1-1-1-1-1-1-211000011112-1-12-1-10-2-20000011110000000000
χ322222-12222222-12-1-1-12-1-1-12-1-122-1-1-1-12-2-2-2-2-2-21111-2-211211-1-1-1-1-1-1-21100001111-211-21102200000-1-1-1-10000000000
χ332222-122-2-2222-12-1-1-1-2-1-1-12-1-1-2-2111122222-2-211112-2-1-1-2111111-1-1-2-1-10000-1-1112-1-1-2110-2200000-1-1110000000000
χ342222-122-2-2222-12-1-1-1-2-1-1-12-1-1-2-2111122222-2-21111-2211-2-1-11111-1-1-2-1-10000-1-111-2112-1-102-20000011-1-10000000000
χ352222-122-2-2222-12-1-1-1-2-1-1-12-1-1-2-211112-2-2-2-222-1-1-1-12-2-1-1-2111111-1-1211000011-1-12-1-1-21102-20000011-1-10000000000
χ362222-122-2-2222-12-1-1-1-2-1-1-12-1-1-2-211112-2-2-2-222-1-1-1-1-2211-2-1-11111-1-1211000011-1-1-2112-1-10-2200000-1-1110000000000
χ372222-12-222-222-12-1-1-1-2-1-1-1-21122-1-111-222-2-2-2-2111100−i3i3-2−i3i3-1-111112-1-1000011-1-10−i3i30−i3i300000000−i3i3−i3i30000000000
χ382222-12-222-222-12-1-1-1-2-1-1-1-21122-1-111-222-2-2-2-2111100i3−i3-2i3−i3-1-111112-1-1000011-1-10i3−i30i3−i300000000i3−i3i3−i30000000000
χ392222-12-222-222-12-1-1-1-2-1-1-1-21122-1-111-2-2-22222-1-1-1-100−i3i3-2−i3i3-1-11111-2110000-1-1110−i3i30−i3i300000000i3−i3i3−i30000000000
χ402222-12-222-222-12-1-1-1-2-1-1-1-21122-1-111-2-2-22222-1-1-1-100i3−i3-2i3−i3-1-11111-2110000-1-1110i3−i30i3−i300000000−i3i3−i3i30000000000
χ412222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-1-1-222-2-222-1-1-1-100−i3i32i3−i311-1-111-2-1-1000011110−i3i30i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-1-1-222-2-222-1-1-1-100i3−i32−i3i311-1-111-2-1-1000011110i3−i30−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-1-1-2-2-222-2-2111100−i3i32i3−i311-1-1112110000-1-1-1-10−i3i30i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-1-1-2-2-222-2-2111100i3−i32−i3i311-1-1112110000-1-1-1-10i3−i30−i3i300000000−i3i3i3−i30000000000
χ452-22-22202i−2i02-2-2-22-2202-2-20002i−2i2i−2i000002i−2i2-222-2-200000002i−2i00000002−2−i2i22i−2i000000000000000000002−2−i2i2−i2i22−200
χ462-22-22202i−2i02-2-2-22-2202-2-20002i−2i2i−2i000002i−2i2-222-2-200000002i−2i0000000−22i2−i22i−2i00000000000000000000−22i2−i2i2−i2−2200
χ472-22-22202i−2i02-2-2-22-2202-2-20002i−2i2i−2i00000−2i2i-22-2-22200000002i−2i00000002−2−i2i2−2i2i000000000000000000002−2−i2i2i2−i2−2200
χ482-22-22202i−2i02-2-2-22-2202-2-20002i−2i2i−2i00000−2i2i-22-2-22200000002i−2i0000000−22i2−i2−2i2i00000000000000000000−22i2−i2−i2i22−200
χ492-22-2220−2i2i02-2-2-22-2202-2-2000−2i2i−2i2i000002i−2i-22-2-2220000000−2i2i00000002−2i2−i22i−2i000000000000000000002−2i2−i2−i2i2−2200
χ502-22-2220−2i2i02-2-2-22-2202-2-2000−2i2i−2i2i000002i−2i-22-2-2220000000−2i2i0000000−22−i2i22i−2i00000000000000000000−22−i2i2i2−i22−200
χ512-22-2220−2i2i02-2-2-22-2202-2-2000−2i2i−2i2i00000−2i2i2-222-2-20000000−2i2i00000002−2i2−i2−2i2i000000000000000000002−2i2−i2i2−i22−200
χ522-22-2220−2i2i02-2-2-22-2202-2-2000−2i2i−2i2i00000−2i2i2-222-2-20000000−2i2i0000000−22−i2i2−2i2i00000000000000000000−22−i2i2−i2i2−2200
χ5344444-2-444-4-2-24-244-2-4-2-2-22-4-4-2-244-4-4200000000000000200-2-22222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-24-244-24-2-2-22-4-422-4-444200000000000000-20022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-211-2110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-422-222111111000000000002-1-12-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2222222-200000000004-4-2-2222-1-1-1-11100000000000-2112-1-10000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2222222-20000000000-44222-2-2-1-1-1-111000000000002-1-1-2110000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-4111222-2-2-2-2222000000000000−2i32i32−2i32i311-1-1-1-1000000000000i3−i30i3−i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-4111222-2-2-2-22220000000000002i3−2i322i3−2i311-1-1-1-1000000000000−i3i30−i3i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000−2i32i3-22i3−2i3-1-111-1-1000000000000i3−i30−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-220000000000002i3−2i3-2−2i32i3-1-111-1-1000000000000−i3i30i3−i30000000000000000000000
χ6344-4-444400-4-444-4-4-440-4-4444-4000000-40000000000000000000004-4000000000000000000000000000000000000000
χ6444-4-444-4004-444-4-4-440-4-44-4-440000004000000000000000000000-44000000000000000000000000000000000000000
χ6544-4-44-2400-42-242-4-4-2022-2-24-40000002000000000000000000000-220000000000000000000000023−2300000000000000
χ6644-4-44-2400-42-242-4-4-2022-2-24-40000002000000000000000000000-2200000000000000000000000−232300000000000000
χ6744-4-44-2-40042-242-4-4-2022-22-44000000-20000000000000000000002-2000000000000000000000−2i32i30000000000000000
χ6844-4-44-2-40042-242-4-4-2022-22-44000000-20000000000000000000002-20000000000000000000002i3−2i30000000000000000
χ6944-4-4-24400-4-44-2-422-2022-24-22000000-400000023−2323−2300000000000-2200000000023−230000000000000000000000000000
χ7044-4-4-24400-4-44-2-422-2022-24-22000000-4000000−2323−232300000000000-22000000000−23230000000000000000000000000000
χ7144-4-4-24-4004-44-2-422-2022-2-42-2000000400000023−2323−23000000000002-2000000000−23230000000000000000000000000000
χ7244-4-4-24-4004-44-2-422-2022-2-42-20000004000000−2323−2323000000000002-200000000023−230000000000000000000000000000
χ734-44-44-204i−4i0-22-424-4-20-222000−2i2i4i−4i00000000000000000000−2i2i000000022−22−2i22i20000000000000000000000−22i2−i2000000
χ744-44-44-204i−4i0-22-424-4-20-222000−2i2i4i−4i00000000000000000000−2i2i0000000−22222i2−2i200000000000000000000002−2−i2i2000000
χ754-44-44-20−4i4i0-22-424-4-20-2220002i−2i−4i4i000000000000000000002i−2i000000022−222i2−2i20000000000000000000000−22−i2i2000000
χ764-44-44-20−4i4i0-22-424-4-20-2220002i−2i−4i4i000000000000000000002i−2i0000000−2222−2i22i200000000000000000000002−2i2−i2000000
χ774-44-4-2404i−4i04-42-4-22-20-2220004i−4i−2i2i000004i−4i4-4-2-2220000000−2i2i00000000000−2i2i000000000000000000000000000000
χ784-44-4-2404i−4i04-42-4-22-20-2220004i−4i−2i2i00000−4i4i-4422-2-20000000−2i2i000000000002i−2i000000000000000000000000000000
χ794-44-4-240−4i4i04-42-4-22-20-222000−4i4i2i−2i000004i−4i-4422-2-200000002i−2i00000000000−2i2i000000000000000000000000000000
χ804-44-4-240−4i4i04-42-4-22-20-222000−4i4i2i−2i00000−4i4i4-4-2-22200000002i−2i000000000002i−2i000000000000000000000000000000
χ814-4-44440000-4-4-44-4440-44-400000000004-400000000000000000000004-4000000000000000000000000000000000000
χ824-4-44440000-4-4-44-4440-44-40000000000-440000000000000000000000-44000000000000000000000000000000000000
χ834-4-44-240000-4-4242-2-202-22000000023−2304-4000023−23−232300000000023−23000-22000000000000000000000000000000000000
χ844-4-44-240000-4-4242-2-202-22000000023−230-440000−232323−2300000000023−230002-2000000000000000000000000000000000000
χ854-4-44-240000-4-4242-2-202-220000000−232304-40000−232323−23000000000−2323000-22000000000000000000000000000000000000
χ864-4-44-240000-4-4242-2-202-220000000−23230-44000023−23−2323000000000−23230002-2000000000000000000000000000000000000
χ8788-8-8-4-4800-84-4-444420-2-22-4-4400000040000000000000000000002-2000000000000000000000000000000000000000
χ8888-8-8-4-4-80084-4-444420-2-2244-4000000-4000000000000000000000-22000000000000000000000000000000000000000
χ898-88-8-4-408i−8i0-4444-44202-2-2000−4i4i−4i4i000000000000000000002i−2i0000000000000000000000000000000000000000000
χ908-88-8-4-40−8i8i0-4444-44202-2-20004i−4i4i−4i00000000000000000000−2i2i0000000000000000000000000000000000000000000
χ918-8-888-4000044-8-4-88-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-420-22-2000000043−4300000000000000000000−232300000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-420-22-20000000−43430000000000000000000023−2300000000000000000000000000000000000000000

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