Finite Group Databasebeta

← Group #11886546

Character table — Group #11886546

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order12223344666666888836661212121224242424242424244444441212242424242266668888121212122424242424242424121212121212121244222244444886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111-111-1-111-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-11111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111
χ51111111111111111111111111111111111-1-11111111111-11-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-111-1-1111111-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1111-1-1-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-111111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-11111-111-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-1-11-111-1-1111-1-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-11-11111-1-1-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111111-11-11-1-111-1-11-11-1
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-2-2-2-2-2000022220000000000000000220000-20000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-20000-22-2-222000022-2-20000000000000000-2-2000020000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-200002-222-2-20000-2-2220000000000000000-2-2000020000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-200002222220000-2-2-2-20000000000000000220000-20000000000
χ2122222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-1002222-1-1-1-1-1-10200-1-1002200-1-10000-1-1-1-12-12-1-1-1-1-1000022000000000-1-1
χ2222222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-10022-2-2-1-1-1-1-1-10200-1-1002200-1-10000-1-1-1-1-21-2111110000-2-200000000011
χ2322222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-100-2-222-1-1-1-1-1-10-2001100-2-20011000011112-12-1-1-1-1-10000-2-200000000011
χ2422222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-100-2-2-2-2-1-1-1-1-1-10-2001100-2-2001100001111-21-211111000022000000000-1-1
χ2522222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100222-2-1-111110200-1-100-2-200-1-1000011112-1-21-1-11100002-2000000000-11
χ2622222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211110022-22-1-111110200-1-100-2-200-1-100001111-212-111-1-10000-220000000001-1
χ2722222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-22-2-1-111110-20011002200110000-1-1-1-12-1-21-1-1110000-220000000001-1
χ2822222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-2-22-1-111110-20011002200110000-1-1-1-1-212-111-1-100002-2000000000-11
χ292222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222220022-1-1-1-1-1-120-1-1002200-1-100-1-1-1-10000-12-12-1-1-1-10022000000000-1-100
χ302222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-122222200-2-2-1-1-1-1-1-120-1-1002200-1-100-1-1-1-100001-21-2111100-2-20000000001100
χ312222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222-2-20022-1-1-1-1-1-1-201100-2-200110011110000-12-12-1-1-1-100-2-20000000001100
χ322222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222-2-200-2-2-1-1-1-1-1-1-201100-2-2001100111100001-21-211110022000000000-1-100
χ332222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002-2-1-1111120-1-100-2-200-1-10011110000-121-2-1-111002-2000000000-1100
χ342222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-22-1-1111120-1-100-2-200-1-100111100001-2-1211-1-100-220000000001-100
χ352222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2002-2-1-11111-20110022001100-1-1-1-10000-121-2-1-11100-220000000001-100
χ362222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-22-1-11111-20110022001100-1-1-1-100001-2-1211-1-1002-2000000000-1100
χ3722-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22i−2i2i−2i000022−2−2000000−i2i2−i2i22i−2i2i−2i−i2−i2i2i2−i2−i2i2i2000000002-20000000002−20000
χ3822-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22i−2i−2i2i000022−2−2000000−i2i2i2−i22i−2i−2i2i−i2−i2i2i2i2i2−i2−i200000000-22000000000−220000
χ3922-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2−2i2i2i−2i000022−2−2000000i2−i2−i2i2−2i2i2i−2ii2i2−i2−i2−i2−i2i2i200000000-22000000000−220000
χ4022-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2−2i2i−2i2i000022−2−2000000i2−i2i2−i2−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2000000002-20000000002−20000
χ4122-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222i−2i2i−2i0000−2−222000000i2−i2i2−i22i−2i2i−2ii2i2−i2−i2i2i2−i2−i2000000002-2000000000−220000
χ4222-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222i−2i−2i2i0000−2−222000000i2−i2−i2i22i−2i−2i2ii2i2−i2−i2−i2−i2i2i200000000-220000000002−20000
χ4322-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222−2i2i2i−2i0000−2−222000000−i2i2i2−i2−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200000000-220000000002−20000
χ4422-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222−2i2i−2i2i0000−2−222000000−i2i2−i2i2−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2000000002-2000000000−220000
χ452-2-22222-2-2-22-22-22-22-22-22-2-2-2222-22-22-22-2000000-222-22-200000000000000000000000000000000000002-22-2000000
χ462-2-22222-2-2-22-22-22-22-22-22-2-2-2222-22-22-22-2000000-222-22-20000000000000000000000000000000000000-22-22000000
χ472-2-22222-2-2-22-22-2-22-222-22-2-2-222-22-22-22-22000000-22-22-2200000000000000000000000000000000000002-2-22000000
χ482-2-22222-2-2-22-22-2-22-222-22-2-2-222-22-22-22-22000000-22-22-220000000000000000000000000000000000000-222-2000000
χ4944444-2-4-44-244-2-20000-2-2-2-2-42-42000000000044002200000-40022000000-2-2000000000000000000000000000000000
χ5044444-2-4-44-244-2-20000-2-2-2-2-42-420000000000-4-4002200000400-2-200000022000000000000000000000000000000000
χ514444-24-4-4-24-2-2440000-2-2-2-22-42-400000000440000220000-4022000000-2-200000000000000000000000000000000000
χ524444-24-4-4-24-2-2440000-2-2-2-22-42-400000000-4-4000022000040-2-20000002200000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000441111110000000000000000000000-2-2-2-2111100000000000000000
χ544444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000-4-411111100000000000000000000002222-1-1-1-100000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-2-22211-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-1000000000000000000000022-2-2-1-11100000000000000000
χ5744-4-44-2004-2-4-4222222−22−22-2-22200002222−22−22−2−222004i−4i0000−2−22200000000−2i22i200−2i2i0000i2i2−i2−i20000000000000000000000000
χ5844-4-44-2004-2-4-4222222−22−22-2-22200002222−22−22−2−22200−4i4i0000−2−222000000002i2−2i2002i−2i0000−i2−i2i2i20000000000000000000000000
χ5944-4-44-2004-2-4-422−22−222222-2-2220000−22−22222222−2−2004i−4i000022−2−2000000002i2−2i200−2i2i0000−i2−i2i2i20000000000000000000000000
χ6044-4-44-2004-2-4-422−22−222222-2-2220000−22−22222222−2−200−4i4i000022−2−200000000−2i22i2002i−2i0000i2i2−i2−i20000000000000000000000000
χ6144-4-4-2400-2422-4-42222−22−22-2-2220000−2−2222222−22−224i−4i000000−2−222000000−2i22i200−2i2i00i2i2−i2−i200000000000000000000000000000
χ6244-4-4-2400-2422-4-42222−22−22-2-2220000−2−2222222−22−22−4i4i000000−2−2220000002i2−2i2002i−2i00−i2−i2i2i200000000000000000000000000000
χ6344-4-4-2400-2422-4-4−22−222222-2-222000022−2−2−22−2222224i−4i00000022−2−20000002i2−2i200−2i2i00−i2−i2i2i200000000000000000000000000000
χ6444-4-4-2400-2422-4-4−22−222222-2-222000022−2−2−22−222222−4i4i00000022−2−2000000−2i22i2002i−2i00i2i2−i2−i200000000000000000000000000000
χ654-44-44400-4-4-44-4422−22−22224-4-44000022−22−222222−22−22220000000022−22−222200000000000000000000000000000000000000000000000
χ664-44-44400-4-4-44-44−222222−224-4-440000−222222−22−222222−2200000000−222222−2200000000000000000000000000000000000000000000000
χ674-44-44-200-42-442-222−22−2222-222-2000022−22−2222−222−200000000−222−20000−2i32i3000000000000i6−i6i6−i60000000000000000000000000
χ684-44-44-200-42-442-222−22−2222-222-2000022−22−2222−222−200000000−222−200002i3−2i3000000000000−i6i6−i6i60000000000000000000000000
χ694-44-44-200-42-442-2−222222−22-222-20000−222222−222−2−22000000002−2−220000−2i32i3000000000000−i6i6−i6i60000000000000000000000000
χ704-44-44-200-42-442-2−222222−22-222-20000−222222−222−2−22000000002−2−2200002i3−2i3000000000000i6−i6i6−i60000000000000000000000000
χ714-44-4-24002-42-2-4422−22−2222-222-20000−222−222−22−222200000000−222−200−2i32i30000000000i6−i6i6−i600000000000000000000000000000
χ724-44-4-24002-42-2-4422−22−2222-222-20000−222−222−22−222200000000−222−2002i3−2i30000000000−i6i6−i6i600000000000000000000000000000
χ734-44-4-24002-42-2-44−222222−22-222-200002−2−22−222222−22000000002−2−2200−2i32i30000000000−i6i6−i6i600000000000000000000000000000
χ744-44-4-24002-42-2-44−222222−22-222-200002−2−22−222222−22000000002−2−22002i3−2i30000000000i6−i6i6−i600000000000000000000000000000
χ754-4-4444-44-4-44-44-400004-44-444-4-4000000000000004-4000000000000000000000000000000000000000000000000000
χ764-4-444-24-4-424-4-224-44-4-22-22-424-24-44-4-22-220000002-2-22-2200000000000000000000000000000000000000000000000
χ774-4-444-24-4-424-4-22-44-44-22-22-424-2-44-442-22-20000002-22-22-200000000000000000000000000000000000000000000000
χ784-4-444-2-44-424-4-220000-22-224-2-4200000000000000-22000000000000000000000023−23−23230000000000000000000000000
χ794-4-444-2-44-424-4-220000-22-224-2-4200000000000000-220000000000000000000000−232323−230000000000000000000000000
χ804-4-44-244-42-4-224-44-44-4-22-222-4-24-22-224-44-40000002-2-22-2200000000000000000000000000000000000000000000000
χ814-4-44-244-42-4-224-4-44-44-22-222-4-242-22-2-44-440000002-22-22-200000000000000000000000000000000000000000000000
χ824-4-44-24-442-4-224-40000-22-22-242-400000000000000-2200000000000000000023−23−232300000000000000000000000000000
χ834-4-44-24-442-4-224-40000-22-22-242-400000000000000-22000000000000000000−232323−2300000000000000000000000000000
χ844-4-44-2-24-422-22-224-44-41-11-122-2-2-22-22-22-22000000-111-11-1000000000000000000000000003i−3i3i−3i00000000000000000
χ854-4-44-2-24-422-22-224-44-41-11-122-2-2-22-22-22-22000000-111-11-100000000000000000000000000−3i3i−3i3i00000000000000000
χ864-4-44-2-24-422-22-22-44-441-11-122-2-22-22-22-22-2000000-11-11-11000000000000000000000000003i−3i−3i3i00000000000000000
χ874-4-44-2-24-422-22-22-44-441-11-122-2-22-22-22-22-2000000-11-11-1100000000000000000000000000−3i3i3i−3i00000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-444444242−42−4222-2-20000−22−222222−22−2222220000000022−2−200000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444−42−42424222-2-200002222−22−222222−22−2200000000−2−22200000000000000000000000000000000000000000000000
χ918-88-8-4-400444-44-442−42−42422-2-220000−222222−22−222222−22000000002−2−2200000000000000000000000000000000000000000000000
χ928-88-8-4-400444-44-4−424242−422-2-22000022−22−222222−22−222200000000−222−200000000000000000000000000000000000000000000000
χ938-8-88-4-4-8844-44-4400002-22-2-4-444000000000000002-2000000000000000000000000000000000000000000000000000

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