Finite Group Databasebeta

← Group #11878664

Character table — Group #11878664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order12223344666666366688121212122424242422444424661212242424242424466888812121212242424246661212121244222466122424488661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11-1111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111-1-1-1-1111-11-1111-1-11-1-11-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1111111-11-11-1-11-1-11-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-11-1-11111-1-1-111-1-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-11111-1-1-111-1-1-11-1-1-11111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-11111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-11-1-1111-111-111-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-11-11-1-1-1111-1-1-1111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111111-11-111-1111-1-11-1-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-222000022-2-200000000000-2-2000000-20020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-2220000000000022000000-200-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-20000000000022000000200-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-20000-2-22200000000000-2-200000020020000000
χ2122222-122-12-12-12-1-1-1-1222-12-1222222000022-1-1-1-1-1-1-1-1-1-12-1-12200000000002-1-1-12-1-1002200-1-1-1-1-10000-1000
χ2222222-122-12-12-12-1-1-1-1222-12-12222220000-2-211-1-1-1-1-1-1-1-12-1-1220000000000-2111-21100-2-20011-1-1-100001000
χ2322222-122-12-12-12-1-1-1-1222-12-12222-2-2000022-1-1-1-1-1-1-1-1-1-1-211-2-200000000002-1-1-12-1-100-2-2001111100001000
χ2422222-122-12-12-12-1-1-1-1222-12-12222-2-20000-2-211-1-1-1-1-1-1-1-1-211-2-20000000000-2111-211002200-1-11110000-1000
χ2522222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-22200002-2-1-1-1-11111112-1-1-2-200000000002-1-11-211002-200-1-1-11100001000
χ2622222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2220000-2211-1-11111112-1-1-2-20000000000-211-12-1-100-220011-1110000-1000
χ2722222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2-2-200002-2-1-1-1-1111111-2112200000000002-1-11-21100-2200111-1-10000-1000
χ2822222-122-12-12-12-1-1-1-1-2-22-12-1-2-2-2-2-2-20000-2211-1-1111111-211220000000000-211-12-1-1002-200-1-11-1-100001000
χ292222-12222-12-12-1-1-1-1-122-12-12-1-1-1-10022222222-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1-1-1-12-1-1-100002200000000-10-100
χ302222-12222-12-12-1-1-1-1-122-12-12-1-1-1-1002222-2-2-2-2-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1111-21110000-2-20000000010100
χ312222-12222-12-12-1-1-1-1-122-12-12-1-1-1-100-2-2-2-22222-1-122-1-1-1-100000-2-211111111-1-1-12-1-1-10000-2-20000000010100
χ322222-12222-12-12-1-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-2-211111111111-211100002200000000-10-100
χ332222-12222-12-12-1-1-1-1-1-2-2-12-1211110022222-222-1-1-2-2111100000-2-2-1-1-1-11111-1-1-1-211100002-200000000-10100
χ342222-12222-12-12-1-1-1-1-1-2-2-12-121111002222-22-2-2-1-1-2-2111100000-2-2-1-1-1-111111112-1-1-10000-220000000010-100
χ352222-12222-12-12-1-1-1-1-1-2-2-12-12111100-2-2-2-22-222-1-1-2-2111100000221111-1-1-1-1-1-1-1-21110000-220000000010-100
χ362222-12222-12-12-1-1-1-1-1-2-2-12-12111100-2-2-2-2-22-2-2-1-1-2-2111100000221111-1-1-1-11112-1-1-100002-200000000-10100
χ372-2-222200-2-22-2-222-2-222−2000022−2−22-2002-20000002−222−2−202-22−22−2002-222−2−200000002-200000002−202−200000
χ382-2-222200-2-22-2-222-2-222−2000022−2−22-200-220000002−222−2−202-22−2−2200-22−2−2220000000-2200000002−20−2200000
χ392-2-222200-2-22-2-222-2-222−2000022−2−2-22002-20000002−222−2−20-22−222−2002-222−2−20000000-220000000−220−2200000
χ402-2-222200-2-22-2-222-2-222−2000022−2−2-2200-220000002−222−2−20-22−22−2200-22−2−22200000002-20000000−2202−200000
χ412-2-222200-2-22-2-222-2-22−220000−2−2222-2002-2000000−22−2−22202-2−22−22002-2−2−22200000002-20000000−220−2200000
χ422-2-222200-2-22-2-222-2-22−220000−2−2222-200-22000000−22−2−22202-2−222−200-2222−2−20000000-220000000−2202−200000
χ432-2-222200-2-22-2-222-2-22−220000−2−222-22002-2000000−22−2−2220-222−2−22002-2−2−2220000000-2200000002−202−200000
χ442-2-222200-2-22-2-222-2-22−220000−2−222-2200-22000000−22−2−2220-222−22−200-2222−2−200000002-200000002−20−2200000
χ4544444-2-4-4-24-24-24-2-2-2-200-42-420000440000000022000000-4-2-200000000000000000000000000020000000000
χ4644444-2-4-4-24-24-24-2-2-2-200-42-420000-4-40000000022000000422000000000000000000000000000-20000000000
χ474444-24-4-44-24-24-2-2-2-2-2002-42-400000044-4-40000220000000000000-2-222000000000000000000000000000000
χ484444-24-4-44-24-24-2-2-2-2-2002-42-4000000-4-444000022000000000000022-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-211-2-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-211110000000000000002-1-122-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-1000000000000000-21122-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-10000000000000002-1-1-2-2110000000000000000000
χ5344-4-4444-4-44-4-44-44-44-400-4-444000000000000004-400000000000000000000000000000000000000000000000
χ5444-4-444-44-44-4-44-44-44-40044-4-400000000000000-4400000000000000000000000000000000000000000000000
χ5544-4-44-24-4242-4-2-4-22-2200-424-2000000000000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ5644-4-44-24-4242-4-2-4-22-2200-424-20000000000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ5744-4-44-2-44242-4-2-4-22-22004-2-42000000000000002-20000000000000000000000000000000000−2i32i300000000000
χ5844-4-44-2-44242-4-2-4-22-22004-2-42000000000000002-200000000000000000000000000000000002i3−2i300000000000
χ5944-4-4-244-4-4-2-4242-22-22002-4-2423−2323−230000000000-220023−2323−2300000000000000000000000000000000000000000
χ6044-4-4-244-4-4-2-4242-22-22002-4-24−2323−23230000000000-2200−2323−232300000000000000000000000000000000000000000
χ6144-4-4-24-44-4-2-4242-22-2200-242-4000000000000002-20000000000000000023−2323−2300000000000000000000000000
χ6244-4-4-24-44-4-2-4242-22-2200-242-4000000000000002-200000000000000000−2323−232300000000000000000000000000
χ6344-4-4-2-24-42-222-221-11-10022-2-223−2323−2300000000−2i32i31-100−33−330000000000000000i3−i3003i−3i0000000000000000000
χ6444-4-4-2-24-42-222-221-11-10022-2-223−2323−23000000002i3−2i31-100−33−330000000000000000−i3i300−3i3i0000000000000000000
χ6544-4-4-2-24-42-222-221-11-10022-2-2−2323−232300000000−2i32i31-1003−33−30000000000000000i3−i300−3i3i0000000000000000000
χ6644-4-4-2-24-42-222-221-11-10022-2-2−2323−2323000000002i3−2i31-1003−33−30000000000000000−i3i3003i−3i0000000000000000000
χ674-44-444004-4-44-4-444-4-40000000000004-40000000000000000000004-400000000000000000000000000000000
χ684-44-444004-4-44-4-444-4-4000000000000-44000000000000000000000-4400000000000000000000000000000000
χ694-44-4-240042-4-2-42-2-2220000006−6−66004-400000000006−6−660000000-22006−6−6600000000000000000000000000
χ704-44-4-240042-4-2-42-2-2220000006−6−6600-4400000000006−6−6600000002-200−666−600000000000000000000000000
χ714-44-4-240042-4-2-42-2-222000000−666−6004-40000000000−666−60000000-2200−666−600000000000000000000000000
χ724-44-4-240042-4-2-42-2-222000000−666−600-440000000000−666−600000002-2006−6−6600000000000000000000000000
χ734-4-444-2002-4-2-424-222-222−2200002222−22−224-40000000000−22−2−2220-2222−2200000000000000000000000000−2200000000
χ744-4-444-2002-4-2-424-222-222−2200002222−22−22-440000000000−22−2−22202-2−2222000000000000000000000000002−200000000
χ754-4-444-2002-4-2-424-222-2−22220000−22−2222224-400000000002−222−2−20-22−2222000000000000000000000000002−200000000
χ764-4-444-2002-4-2-424-222-2−22220000−22−222222-4400000000002−222−2−202-222−2200000000000000000000000000−2200000000
χ774-4-44-2400-4242-4-2-222-222−220000−2−22200004-400000022−22−2−2220000022−2200-22−2−22200000000000000000000000000
χ784-4-44-2400-4242-4-2-222-222−220000−2−2220000-4400000022−22−2−22200000−2222002-222−2−200000000000000000000000000
χ794-4-44-2400-4242-4-2-222-2−2222000022−2−200004-4000000−222222−2−200000−222200-2222−2−200000000000000000000000000
χ804-4-44-2400-4242-4-2-222-2−2222000022−2−20000-44000000−222222−2−20000022−22002-2−2−22200000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-4-884-444-442-22-200-4-44400000000000000-2200000000000000000000000000000000000000000000000
χ838-88-88-400-4-8484-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-444-44422-2-200000026−26−262600000000000000−666−600000000000000000000000000000000000000000
χ858-88-8-4-400-444-44422-2-2000000−262626−26000000000000006−6−6600000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42-2-2242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42-2-22−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000

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