Finite Group Databasebeta

← Group #11887557

Character table — Group #11887557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order1222334466666688883666121212122424242424242424224444121224242424446688881212121212122424242424242424121212121212121222244444444886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111-1111-1-111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111
χ51111111111111111111111111111111111-1-111111111111-1-1-111-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-111-1-11111111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1
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
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1111-11-1111-1-1-1-11-1-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-11-11-1-1111-1-1-111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11-1-11-1-1-111111-11-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1-1-111-111-1-1-111-11-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-111111-1-1111-1-1-1-1-111-1-1-1-11111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1111-1-1-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1111-1-111-11-11111-1-1-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-111111-11-1-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-2220000-2-2-2-222000000000000000022000000-200000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-200002-222000022-2-2-2-20000000000000000-2-2000000200000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-20000-22-2-20000-2-222220000000000000000-2-2000000200000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-2000022-2-200002222-2-2000000000000000022000000-200000000
χ2122222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-1220022-1-1-1-1-1-102-1-1002200-1-1000000-1-1-1-1-1-122-1-1-1-10022000000000-1-100
χ2222222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-12200-2-2-1-1-1-1-1-102-1-1002200-1-1000000-1-1-1-111-2-2111100-2-20000000001100
χ2322222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-1-2-20022-1-1-1-1-1-10-21100-2-200110000001111-1-122-1-1-1-100-2-20000000001100
χ2422222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-1-2-200-2-2-1-1-1-1-1-10-21100-2-20011000000111111-2-211110022000000000-1-100
χ2522222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122002-2-1-1111102-1-100-2-200-1-10000001111-11-22-1-111002-2000000000-1100
χ2622222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-22-1-1111102-1-100-2-200-1-100000011111-12-211-1-100-220000000001-100
χ2722222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2002-2-1-111110-21100220011000000-1-1-1-1-11-22-1-11100-220000000001-100
χ2822222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-200-22-1-111110-21100220011000000-1-1-1-11-12-211-1-1002-2000000000-1100
χ292222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-12222002222-1-1-1-1-1-120002200-1-100-1-1-1-1-1-1000022-1-1-1-1-1-1000022000000000-1-1
χ302222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-122220022-2-2-1-1-1-1-1-120002200-1-100-1-1-1-1-1-10000-2-21111110000-2-200000000011
χ312222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-1222200-2-222-1-1-1-1-1-1-2000-2-2001100111111000022-1-1-1-1-1-10000-2-200000000011
χ322222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-1222200-2-2-2-2-1-1-1-1-1-1-2000-2-20011001111110000-2-2111111000022000000000-1-1
χ332222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200222-2-1-111112000-2-200-1-100-1-1111100002-21-1-1-11100002-20000000001-1
χ342222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-22-1-111112000-2-200-1-100-1-111110000-22-1111-1-10000-22000000000-11
χ352222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-22-2-1-11111-20002200110011-1-1-1-100002-21-1-1-1110000-22000000000-11
χ362222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-2-22-1-11111-20002200110011-1-1-1-10000-22-1111-1-100002-20000000001-1
χ372-22-222002-2-2-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-22-20000−i2−i2i2i2002-2−i2i2−i2i200002-2−i2−i2i2i2−i2−i2i2i2000000002-2000000000−i2i20000
χ382-22-222002-2-2-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-2-220000−i2−i2i2i2002-2i2−i2−i2i20000-22i2i2−i2−i2−i2−i2i2i200000000-22000000000i2−i20000
χ392-22-222002-2-2-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-222-20000−i2−i2i2i200-22−i2i2i2−i200002-2−i2−i2i2i2i2i2−i2−i200000000-22000000000i2−i20000
χ402-22-222002-2-2-2-22−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-22-220000−i2−i2i2i200-22i2−i2i2−i20000-22i2i2−i2−i2i2i2−i2−i2000000002-2000000000−i2i20000
χ412-22-222002-2-2-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-22-20000i2i2−i2−i2002-2i2−i2i2−i200002-2i2i2−i2−i2i2i2−i2−i2000000002-2000000000i2−i20000
χ422-22-222002-2-2-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-2-220000i2i2−i2−i2002-2−i2i2i2−i20000-22−i2−i2i2i2i2i2−i2−i200000000-22000000000−i2i20000
χ432-22-222002-2-2-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-222-20000i2i2−i2−i200-22i2−i2−i2i200002-2i2i2−i2−i2−i2−i2i2i200000000-22000000000−i2i20000
χ442-22-222002-2-2-2-22i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-22-220000i2i2−i2−i200-22−i2i2−i2i20000-22−i2−i2i2i2−i2−i2i2i2000000002-2000000000i2−i20000
χ452-2-22222-2-2-22-22-22i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i0000000000000000000000000000000000002i−2i02-2000000
χ462-2-22222-2-2-22-22-22i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i000000000000000000000000000000000000−2i2i0-22000000
χ472-2-22222-2-2-22-22-2−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000000000002i−2i0-22000000
χ482-2-22222-2-2-22-22-2−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i000000000000000000000000000000000000−2i2i02-2000000
χ4944444-2-4-4-24-2-2440000-2-2-2-22-4-42000000004400002200000-4-2-20000002200000000000000000000000000000000000
χ5044444-2-4-4-24-2-2440000-2-2-2-22-4-4200000000-4-400002200000422000000-2-200000000000000000000000000000000000
χ514444-24-4-44-244-2-20000-2-2-2-2-422-400000000004400220000-400000002200-2-2000000000000000000000000000000000
χ524444-24-4-44-244-2-20000-2-2-2-2-422-40000000000-4-40022000040000000-2-20022000000000000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-222-211-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-100000000000000000000002-2-22-1-11100000000000000000
χ5744-4-44400-44-44-4-422−22−222244-4-4000022−22−222222−22−22220000000022−22−222200000000000000000000000000000000000000000000000
χ5844-4-44400-44-44-4-4−222222−2244-4-40000−222222−22−222222−2200000000−222222−2200000000000000000000000000000000000000000000000
χ5944-4-44-200242-2-4-422−22−2222-2-222000022−22−2222−222−200000000−222−2000000000023−230000006−66−60000000000000000000000000
χ6044-4-44-200242-2-4-422−22−2222-2-222000022−22−2222−222−200000000−222−20000000000−2323000000−66−660000000000000000000000000
χ6144-4-44-200242-2-4-4−222222−22-2-2220000−222222−222−2−22000000002−2−22000000000023−23000000−66−660000000000000000000000000
χ6244-4-44-200242-2-4-4−222222−22-2-2220000−222222−222−2−22000000002−2−220000000000−23230000006−66−60000000000000000000000000
χ6344-4-4-2400-4-2-442222−22−2222-2-2220000−222−222−22−222200000000−222−200000000−2i32i30000i6−i6i6−i600000000000000000000000000000
χ6444-4-4-2400-4-2-442222−22−2222-2-2220000−222−222−22−222200000000−222−2000000002i3−2i30000−i6i6−i6i600000000000000000000000000000
χ6544-4-4-2400-4-2-4422−222222−22-2-22200002−2−22−222222−22000000002−2−2200000000−2i32i30000−i6i6−i6i600000000000000000000000000000
χ6644-4-4-2400-4-2-4422−222222−22-2-22200002−2−22−222222−22000000002−2−22000000002i3−2i30000i6−i6i6−i600000000000000000000000000000
χ674-44-44-200-2-422-44−2i2−2i22i22i2-22-220000−2i2−2i22i22i2i2i2−i2−i24-4000000i2i2−i2−i200-2200−2i22i20000000000i2i2−i2−i20000000000000000000000000
χ684-44-44-200-2-422-44−2i2−2i22i22i2-22-220000−2i2−2i22i22i2i2i2−i2−i2-44000000i2i2−i2−i2002-2002i2−2i20000000000−i2−i2i2i20000000000000000000000000
χ694-44-44-200-2-422-442i22i2−2i2−2i2-22-2200002i22i2−2i2−2i2−i2−i2i2i24-4000000−i2−i2i2i200-22002i2−2i20000000000−i2−i2i2i20000000000000000000000000
χ704-44-44-200-2-422-442i22i2−2i2−2i2-22-2200002i22i2−2i2−2i2−i2−i2i2i2-44000000−i2−i2i2i2002-200−2i22i20000000000i2i2−i2−i20000000000000000000000000
χ714-44-4-240042-4-42-2−2i2−2i22i22i2-22-220000i2i2−i2−i2−2i2−2i22i22i2004-40000i2i2−i2−i20000−2i22i2000000-22i2i2−i2−i200000000000000000000000000000
χ724-44-4-240042-4-42-2−2i2−2i22i22i2-22-220000i2i2−i2−i2−2i2−2i22i22i200-440000i2i2−i2−i200002i2−2i20000002-2−i2−i2i2i200000000000000000000000000000
χ734-44-4-240042-4-42-22i22i2−2i2−2i2-22-220000−i2−i2i2i22i22i2−2i2−2i2004-40000−i2−i2i2i200002i2−2i2000000-22−i2−i2i2i200000000000000000000000000000
χ744-44-4-240042-4-42-22i22i2−2i2−2i2-22-220000−i2−i2i2i22i22i2−2i2−2i200-440000−i2−i2i2i20000−2i22i20000002-2i2i2−i2−i200000000000000000000000000000
χ754-4-4444-44-4-44-44-400004-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000000
χ764-4-444-24-42-4-224-44i−4i4i−4i-222-2-2-4424i−4i4i−4i−2i2i−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ774-4-444-24-42-4-224-4−4i4i−4i4i-222-2-2-442−4i4i−4i4i2i−2i2i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ784-4-444-2-442-4-224-40000-222-224-4-2000000000000002-20000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ794-4-444-2-442-4-224-40000-222-224-4-2000000000000002-200000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ804-4-44-244-4-424-4-224i−4i4i−4i-222-242-2-4−2i2i−2i2i4i−4i4i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ814-4-44-244-4-424-4-22−4i4i−4i4i-222-242-2-42i−2i2i−2i−4i4i−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ824-4-44-24-44-424-4-220000-222-2-4-224000000000000002-200000000000000000023−23−232300000000000000000000000000000
χ834-4-44-24-44-424-4-220000-222-2-4-224000000000000002-2000000000000000000−232323−2300000000000000000000000000000
χ844-4-44-2-24-422-22-224i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i000000000000000000000000003i−3i3-300000000000000000
χ854-4-44-2-24-422-22-224i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i00000000000000000000000000−3i3i-3300000000000000000
χ864-4-44-2-24-422-22-22−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii000000000000000000000000003i−3i-3300000000000000000
χ874-4-44-2-24-422-22-22−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii00000000000000000000000000−3i3i3-300000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-44-44442−42−424222-2-20000−222222−22−222222−22000000002−2−2200000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-44-444−424242−4222-2-2000022−22−222222−22−222200000000−222−200000000000000000000000000000000000000000000000
χ918-88-8-4-400-44444-4−4i2−4i24i24i22-22-200002i22i2−2i2−2i22i22i2−2i2−2i200000000−i2−i2i2i200000000000000000000000000000000000000000000000
χ928-88-8-4-400-44444-44i24i2−4i2−4i22-22-20000−2i2−2i22i22i2−2i2−2i22i22i200000000i2i2−i2−i200000000000000000000000000000000000000000000000
χ938-8-88-4-4-8844-44-4400002-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000000

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