Finite Group Databasebeta

← Group #11887830

Character table — Group #11887830

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888844121212122424242424244444668812121212242424241212121212121244244121212242424488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-11-1-111-1-1-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111-1-111-1-1-1-11111111111111-111-1-11111-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-111-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1-111-111-1-11-1-1111-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-111111-1-1111-1-11-1-1-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1111-1-1-1-1-1-1111-111-1-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-111111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111111-1111-1-1-1-111-1-1-11-1-1-1-1-1111-111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-11-111-1-1-1-111-1-11111-11-1-1-111-1-1-1-11111-1-1-11111-11-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1111-1-1111-1-111-111111-1-11-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1111-1-1-1-1-1111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200220022-2-2000000000002200000-200-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-2002200-2-2-2-200000000000-2-200000200200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2200-2-200222200000000000-2-200000-200200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-200-2-222000000000002200000200-200000000
χ2122222-122-1-122-12-1-1-1-1222-12-1-1-1-1-1220022222222-1-122-1-1-1-10200-1-10000-1-1-1-1-1-1-1-12-1-1-1-1002020000000000-1-100
χ2222222-122-1-122-12-1-1-1-1222-12-1-1-1-1-122002222-2-2-2-2-1-122-1-1-1-10200-1-10000-1-1-1-1-1-111-2111100-20-200000000001100
χ2322222-122-1-122-12-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-10-200110000111111-1-12-1-1-1-100-20-200000000001100
χ2422222-122-1-122-12-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-10-20011000011111111-21111002020000000000-1-100
χ2522222-122-1-122-12-1-1-1-1-2-22-12-111112200-2-2-2-22-2-2-2-1-1-2-211110200-1-10000-1-11111-112-1-11100-20200000000001-100
χ2622222-122-1-122-12-1-1-1-1-2-22-12-111112200-2-2-2-2-2222-1-1-2-211110200-1-10000-1-111111-1-211-1-10020-20000000000-1100
χ2722222-122-1-122-12-1-1-1-1-2-22-12-11111-2-20022222-2-2-2-1-1-2-211110-20011000011-1-1-1-1-112-1-1110020-20000000000-1100
χ2822222-122-1-122-12-1-1-1-1-2-22-12-11111-2-2002222-2222-1-1-2-211110-20011000011-1-1-1-11-1-211-1-100-20200000000001-100
χ292222-122222-1-12-1-1-1-1-122-12-1222220022000022-1-1-1-1-1-1-1-1-1-120220022-1-100000022-1-1-1-1-100020-1-1-1-1-10000000-10
χ302222-122222-1-12-1-1-1-1-122-12-12222200220000-2-211-1-1-1-1-1-1-1-120-2-20022-1-1000000-2-211111000-2011-1-1-1000000010
χ312222-122222-1-12-1-1-1-1-122-12-12222200-2-2000022-1-1-1-1-1-1-1-1-1-1-20-2-200-2-21100000022-1-1-1-1-1000-2011111000000010
χ322222-122222-1-12-1-1-1-1-122-12-12222200-2-20000-2-211-1-1-1-1-1-1-1-1-202200-2-211000000-2-21111100020-1-11110000000-10
χ332222-122222-1-12-1-1-1-1-1-2-2-12-12-2-2-2-2002200002-211-1-111111120-2-200-2-2-1-10000002-2-1-1-1110002011-1110000000-10
χ342222-122222-1-12-1-1-1-1-1-2-2-12-12-2-2-2-200220000-22-1-1-1-1111111202200-2-2-1-1000000-22111-1-1000-20-1-1-111000000010
χ352222-122222-1-12-1-1-1-1-1-2-2-12-12-2-2-2-200-2-200002-211-1-1111111-20220022110000002-2-1-1-111000-20-1-11-1-1000000010
χ362222-122222-1-12-1-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-22-1-1-1-1111111-20-2-2002211000000-22111-1-100020111-1-10000000-10
χ372-22-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i22-22i−2i−i2−i2i2i2000000−i2i2−i2−i2i2i200002-22−22i−2i00−i2−i2i2i200000002i−2i0000002−20002−20000
χ382-22-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i22-2−2i2i−i2−i2i2i2000000−i2i2−i2−i2i2i200002-2−22−2i2i00−i2−i2i2i20000000−2i2i000000−22000−220000
χ392-22-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i2-222i−2ii2i2−i2−i2000000−i2i2−i2−i2i2i20000-222−22i−2i00i2i2−i2−i20000000−2i2i0000002−2000−220000
χ402-22-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i2-22−2i2ii2i2−i2−i2000000−i2i2−i2−i2i2i20000-22−22−2i2i00i2i2−i2−i200000002i−2i000000−220002−20000
χ412-22-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i22-22i−2ii2i2−i2−i2000000i2−i2i2i2−i2−i200002-2−222i−2i00i2i2−i2−i200000002i−2i000000−22000−220000
χ422-22-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i22-2−2i2ii2i2−i2−i2000000i2−i2i2i2−i2−i200002-22−2−2i2i00i2i2−i2−i20000000−2i2i0000002−20002−20000
χ432-22-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i2-222i−2i−i2−i2i2i2000000i2−i2i2i2−i2−i20000-22−222i−2i00−i2−i2i2i20000000−2i2i000000−220002−20000
χ442-22-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i2-22−2i2i−i2−i2i2i2000000i2−i2i2i2−i2−i20000-222−2−2i2i00−i2−i2i2i200000002i−2i0000002−2000−220000
χ452-2-2222-22-2-2-222-222-2-20022-2-2000000002i−2i2i−2i00002-2000000002-2000000002i−2i2i−2i0000000000002-200002i−2i000000
χ462-2-2222-22-2-2-222-222-2-20022-2-2000000002i−2i2i−2i00002-200000000-22000000002i−2i2i−2i000000000000-220000−2i2i000000
χ472-2-2222-22-2-2-222-222-2-20022-2-200000000−2i2i−2i2i00002-2000000002-200000000−2i2i−2i2i0000000000002-20000−2i2i000000
χ482-2-2222-22-2-2-222-222-2-20022-2-200000000−2i2i−2i2i00002-200000000-2200000000−2i2i−2i2i000000000000-2200002i−2i000000
χ4944444-2-4-4-2-244-24-2-2-2-200-42-420000440000000000220000000-400-2-2000022000000000000000000000000000000
χ5044444-2-4-4-2-244-24-2-2-2-200-42-420000-4-40000000000220000000400220000-2-2000000000000000000000000000000
χ514444-24-4-444-2-24-2-2-2-2-2002-42-4000000440000000022000000-40000000-2-200000000000000000000200000000000
χ524444-24-4-444-2-24-2-2-2-2-2002-42-4000000-4-40000000022000000400000002200000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-22-211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-100000000000000002-22-1-1110000000000000000000
χ5744-4-44400-444-4-4-44-4-440000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-44400-444-4-4-44-4-4400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-44-2002-24-42-4-222-20000006−66−6000022−22−2222000000006−66−6000000000023−23−222−200000000000000000000000000
χ6044-4-44-2002-24-42-4-222-20000006−66−60000−222222−22000000006−66−60000000000−23232−2−2200000000000000000000000000
χ6144-4-44-2002-24-42-4-222-2000000−66−66000022−22−222200000000−66−660000000000−2323−222−200000000000000000000000000
χ6244-4-44-2002-24-42-4-222-2000000−66−660000−222222−2200000000−66−66000000000023−232−2−2200000000000000000000000000
χ634-44-44-200-22-4-424-22-22−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2000000−2i22i2i2i2−i2−i20000-22000000i2i2−i2−i200000000000000000000000000
χ644-44-44-200-22-4-424-22-22−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i2000000−2i22i2i2i2−i2−i200002-2000000−i2−i2i2i200000000000000000000000000
χ654-44-44-200-22-4-424-22-222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i20000002i2−2i2−i2−i2i2i20000-22000000−i2−i2i2i200000000000000000000000000
χ664-44-44-200-22-4-424-22-222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i20000002i2−2i2−i2−i2i2i200002-2000000i2i2−i2−i200000000000000000000000000
χ674-44-4-24004-422-4-2-22-22−2i22i20000−2i2−2i22i22i2004i−4i0000000000i2−i2i2i2−i2−i200000022−22−2i2i000000000000000000000−22000000000
χ684-44-4-24004-422-4-2-22-22−2i22i20000−2i2−2i22i22i200−4i4i0000000000i2−i2i2i2−i2−i2000000−22222i−2i0000000000000000000002−2000000000
χ694-44-4-24004-422-4-2-22-222i2−2i200002i22i2−2i2−2i2004i−4i0000000000−i2i2−i2−i2i2i2000000−2222−2i2i0000000000000000000002−2000000000
χ704-44-4-24004-422-4-2-22-222i2−2i200002i22i2−2i2−2i200−4i4i0000000000−i2i2−i2−i2i2i200000022−222i−2i000000000000000000000−22000000000
χ714-4-44444-4-4-4-444-444-4-400-4-4440000000000000000-44000000000000000000000000000000000000000000000000
χ724-4-444-24-422-44-2-4-2-22200-424-2−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ734-4-444-24-422-44-2-4-2-22200-424-22i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ744-4-444-2-4422-44-2-4-2-222004-2-42000000004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ754-4-444-2-4422-44-2-4-2-222004-2-4200000000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ764-4-44-244-4-4-42-242-2-222002-4-240000000000000023−232-200000000000000000000000000023−230000000000000000000
χ774-4-44-244-4-4-42-242-2-222002-4-2400000000000000−23232-2000000000000000000000000000−23230000000000000000000
χ784-4-44-24-44-4-42-242-2-22200-242-40000000000000000-22000000004-4000000000000000000000000-22000000000000
χ794-4-44-24-44-4-42-242-2-22200-242-40000000000000000-2200000000-440000000000000000000000002-2000000000000
χ804-4-44-2-24-4222-2-2211-1-10022-2-2−2i32i32i3−2i3000000000023−23-1100i3−i3−i3i300000000000000000003i−3i−330000000000000000000
χ814-4-44-2-24-4222-2-2211-1-10022-2-2−2i32i32i3−2i30000000000−2323-1100i3−i3−i3i30000000000000000000−3i3i3−30000000000000000000
χ824-4-44-2-24-4222-2-2211-1-10022-2-22i3−2i3−2i32i3000000000023−23-1100−i3i3i3−i30000000000000000000−3i3i−330000000000000000000
χ834-4-44-2-24-4222-2-2211-1-10022-2-22i3−2i3−2i32i30000000000−2323-1100−i3i3i3−i300000000000000000003i−3i3−30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4800-88-44-84-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-44442-2-2200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000000
χ8788-8-8-4-4004-4-44442-2-22000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000000
χ888-88-8-4-400-44444-42-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ898-88-8-4-400-44444-42-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ908-8-88-4-4-88444-4-4422-2-200-4-44400000000000000002-2000000000000000000000000000000000000000000000000

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