Finite Group Databasebeta

← Group #11870604

Character table — Group #11870604

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666223666881212121244444666612122424242424242424444424444488881212121266121212124424612121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1111-1-1-1-111111111-1-1-11-11-1-111-1-111-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-11-1-111-1-1-11111-1-1111111-1-11-11-111-1-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-111-1-111-1-1-1-1-1-1-111-111-1-1-1-111-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-111111111111111-1-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11-11
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-11-1111-1-111-1-11111-11-1
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11111-1-11-11-1-1-111-1-11111111-1-1
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-11111-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-2222200000-2-2000000002222-20000-200002222000000-2-200-2-2000000000000000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-2-2-2-220000-20000-2-22200000022002-2000000000000000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-2-2-2-2-200002000022-2-20000002200-22000000000000000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-20000000022222000020000-2-2-2-2000000-2-20022000000000000000
χ2122222-122-12-12-1222-1-1-1-1222-1-120022222-1-1-1-1-1-122-1-1-1-100002002200022-1-100-1-1-12-1-10020-10-1-100-1-1000000-100
χ2222222-122-12-12-1222-1-1-1-1222-1-1200-2-2222-1-1-1-1-1-122-1-1-1-10000-200-2-2000-2-21100-1-1-12-1-100-2010110011000000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-120022-222-1-1-1-111-2-21111000020022000-2-2-1-100-1-11-21100-20-10-1-10011000000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-1200-2-2-222-1-1-1-111-2-211110000-200-2-2000221100-1-11-2110020101100-1-1000000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-120022-2-2-211-1-1-1-122-1-1-1-10000200-2-200022-1-100111-21100-20-101100-1-1000000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-1200-2-2-2-2-211-1-1-1-122-1-1-1-10000-20022000-2-21100111-211002010-1-10011000000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-1200222-2-211-1-111-2-211110000200-2-2000-2-2-1-10011-12-1-10020-10110011000000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-1200-2-22-2-211-1-111-2-211110000-2002200022110011-12-1-100-2010-1-100-1-1000000100
χ292222-12222-12-12-122-1-1-1-122-122-122002-1-122-1-122-1-1-1-1-1-10000022002220000-1-1-1-12-1-1-100020-100-1-100-1-100000-10
χ302222-12222-12-12-122-1-1-1-122-122-1-2-2002-1-122-1-122-1-1-1-1-1-100000-2-200-2-2-2000011-1-12-1-1-1000-201001100110000010
χ312222-12222-12-12-122-1-1-1-1-2-2-122-12200-2-1-122-1-1-2-21111110000022002-2-20000-1-1-1-1-2111000-20-100-1-100110000010
χ322222-12222-12-12-122-1-1-1-1-2-2-122-1-2-200-2-1-122-1-1-2-211111100000-2-200-222000011-1-1-2111000201001100-1-100000-10
χ332222-12222-12-12-1-2-2-1-1-1-122-122-12200-211-2-2-1-122-1-1-1-1-1-100000-2-2002220000-1-111-2111000-20-1001100-1-10000010
χ342222-12222-12-12-1-2-2-1-1-1-122-122-1-2-200-211-2-2-1-122-1-1-1-1-1-1000002200-2-2-200001111-211100020100-1-1001100000-10
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-12200211-2-2-1-1-2-211111100000-2-2002-2-20000-1-1112-1-1-100020-10011001100000-10
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1-2-200211-2-2-1-1-2-2111111000002200-222000011112-1-1-1000-20100-1-100-1-10000010
χ372-22-2222-2-22-2-22-2002-22-200-22-22000000000-22000000002i2i−2i−2i02i−2i2-20000000000000002i−2i00002-22i−2i00000000000
χ382-22-2222-2-22-2-22-2002-22-200-22-22000000000-22000000002i2i−2i−2i0−2i2i-220000000000000002i−2i0000-22−2i2i00000000000
χ392-22-2222-2-22-2-22-2002-22-200-22-22000000000-2200000000−2i−2i2i2i02i−2i-22000000000000000−2i2i0000-222i−2i00000000000
χ402-22-2222-2-22-2-22-2002-22-200-22-22000000000-2200000000−2i−2i2i2i0−2i2i2-2000000000000000−2i2i00002-2−2i2i00000000000
χ412-22-222-22-22-2-22-22-22-22-2002-22-2000002-22-22-2000000002i2i−2i−2i000000000000002-20000−2i2i0000000000002i−2i00000
χ422-22-222-22-22-2-22-22-22-22-2002-22-2000002-22-22-200000000−2i−2i2i2i000000000000002-200002i−2i000000000000−2i2i00000
χ432-22-222-22-22-2-22-2-222-22-2002-22-200000-22-222-2000000002i2i−2i−2i00000000000000-220000−2i2i000000000000−2i2i00000
χ442-22-222-22-22-2-22-2-222-22-2002-22-200000-22-222-200000000−2i−2i2i2i00000000000000-2200002i−2i0000000000002i−2i00000
χ452-2-2222002-2-22-2-20022-2-2i2−i200002i−2i2i−2i0000000i2−i2i2−i2i2i2−i2−i22-22-20000002−22−22i−2i2i−2i00000000000000002−22−200i2−i2000
χ462-2-2222002-2-22-2-20022-2-2i2−i200002i−2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2-22-220000002−2−22−2i2i2i−2i0000000000000000−222−200−i2i2000
χ472-2-2222002-2-22-2-20022-2-2i2−i20000−2i2i2i−2i0000000i2−i2i2−i2i2i2−i2−i2-22-22000000−222−22i−2i−2i2i00000000000000002−2−2200−i2i2000
χ482-2-2222002-2-22-2-20022-2-2i2−i20000−2i2i−2i2i0000000i2−i2i2−i2i2i2−i2−i22-22-2000000−22−22−2i2i−2i2i0000000000000000−22−2200i2−i2000
χ492-2-2222002-2-22-2-20022-2-2−i2i200002i−2i2i−2i0000000−i2i2−i2i2−i2−i2i2i22-22-2000000−22−222i−2i2i−2i0000000000000000−22−2200−i2i2000
χ502-2-2222002-2-22-2-20022-2-2−i2i200002i−2i−2i2i0000000−i2i2−i2i2−i2−i2i2i2-22-22000000−222−2−2i2i2i−2i00000000000000002−2−2200i2−i2000
χ512-2-2222002-2-22-2-20022-2-2−i2i20000−2i2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2-22-220000002−2−222i−2i−2i2i0000000000000000−222−200i2−i2000
χ522-2-2222002-2-22-2-20022-2-2−i2i20000−2i2i−2i2i0000000−i2i2−i2i2−i2−i2i2i22-22-20000002−22−2−2i2i−2i2i00000000000000002−22−200−i2i2000
χ5344444-2-4-4-24-24-2400-2-2-2-200-422-400440000022000000000000-4000000000-2-200000000000020000000000000000
χ5444444-2-4-4-24-24-2400-2-2-2-200-422-400-4-40000022000000000000400000000022000000000000-20000000000000000
χ554444-24-4-44-24-24-200-2-2-2-2002-4-424400000002200000000000000000-4000000-2-2000000000002000000000000000
χ564444-24-4-44-24-24-200-2-2-2-2002-4-42-4-40000000220000000000000000040000002200000000000-2000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-2111100000000000000000011-2-211000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000001122-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-21111000000000000000000-1-122-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-1-1-2-211000000000000000000000
χ6144-4-44400-4-44-4-44004-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ6244-4-44400-4-44-4-44004-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-44-44-24-4242-4-2-400-22-2200-4-2240000000002-20000000000000004-4000000000000000000000-220000000000000
χ644-44-44-24-4242-4-2-400-22-2200-4-2240000000002-2000000000000000-440000000000000000000002-20000000000000
χ654-44-44-2-44242-4-2-44-4-22-220042-2-4000004-4-22-2200000000000000000000000000-220000000000000000000000000
χ664-44-44-2-44242-4-2-4-44-22-220042-2-400000-442-2-22000000000000000000000000002-20000000000000000000000000
χ674-44-4-244-4-4-2-424200-22-220024-4-20000000002-200000000000004i−4i0000000000000000000000000−2i2i00000000000
χ684-44-4-244-4-4-2-424200-22-220024-4-20000000002-20000000000000−4i4i00000000000000000000000002i−2i00000000000
χ694-44-4-24-44-4-2-42424-4-22-2200-2-44200000-224-4-2200000000000000000000000000-220000000000000000000000000
χ704-44-4-24-44-4-2-4242-44-22-2200-2-442000002-2-44-22000000000000000000000000002-20000000000000000000000000
χ714-44-4-2-2-442-222-224-41-11-100-22-2200000-22-221-100003i−3i3i−3i0000000000000000001-1003i−3i000000000000000000000
χ724-44-4-2-2-442-222-224-41-11-100-22-2200000-22-221-10000−3i3i−3i3i0000000000000000001-100−3i3i000000000000000000000
χ734-44-4-2-2-442-222-22-441-11-100-22-22000002-22-21-100003i−3i3i−3i000000000000000000-1100−3i3i000000000000000000000
χ744-44-4-2-2-442-222-22-441-11-100-22-22000002-22-21-10000−3i3i−3i3i000000000000000000-11003i−3i000000000000000000000
χ754-4-444-200-2-4242-400-2-2222i2−2i20000004i−4i0000000−i2i22i2−2i2−i2−i2i2i200000000000022−22−2i2i000000000000000000−22000000000
χ764-4-444-200-2-4242-400-2-2222i2−2i2000000−4i4i0000000−i2i22i2−2i2−i2−i2i2i2000000000000−22222i−2i0000000000000000002−2000000000
χ774-4-444-200-2-4242-400-2-222−2i22i20000004i−4i0000000i2−i2−2i22i2i2i2−i2−i2000000000000−2222−2i2i0000000000000000002−2000000000
χ784-4-444-200-2-4242-400-2-222−2i22i2000000−4i4i0000000i2−i2−2i22i2i2i2−i2−i200000000000022−222i−2i000000000000000000−22000000000
χ794-4-44-240042-4-2-4200-2-2222i2−2i200004i−4i0000000002i2−2i2−i2i2−i2−i2i2i2000000000022−220000−2i2i000000000000000000−220000000
χ804-4-44-240042-4-2-4200-2-2222i2−2i20000−4i4i0000000002i2−2i2−i2i2−i2−i2i2i20000000000−222200002i−2i0000000000000000002−20000000
χ814-4-44-240042-4-2-4200-2-222−2i22i200004i−4i000000000−2i22i2i2−i2i2i2−i2−i20000000000−22220000−2i2i0000000000000000002−20000000
χ824-4-44-240042-4-2-4200-2-222−2i22i20000−4i4i000000000−2i22i2i2−i2i2i2−i2−i2000000000022−2200002i−2i000000000000000000−220000000
χ838888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-444-4002-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-444-4002-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ888-88-8-4-48-84-444-44002-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-444-4440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-444-4440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000

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