Finite Group Databasebeta

← Group #11865642

Character table — Group #11865642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212122222888888884444444424242424242424244444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ9111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-111-1-11-11-1
χ10111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-111-1-1-11-11
χ11111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-11
χ12111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-11-1-111-111-1
χ13111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-111-11-11
χ14111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-1111-11-1-1-111-1-111-1-1-1111-11-1
χ15111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-111-1
χ16111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ2222222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ2322222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000000011
χ2422222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-11111111100000000-2-2-2-200000022000011110000000-1-1
χ2522222-1-2-2222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-111110000000022-2-20000002-20000-1-1110000000-11
χ2622222-1-2-2222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-1111100000000-2-222000000-22000011-1-100000001-1
χ2722222-1-2-2222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ2822222-1-2-2222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ292222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ302222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ312222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000001100
χ322222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000022001111000000000-1-100
χ332222-12-2-222-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-11111000022-2-2000000002-200-1-111000000000-1100
χ342222-12-2-222-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-220011-1-10000000001-100
χ352222-12-2-222-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ362222-12-2-222-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ3722-2-2222-20022-2-2-2-22000002-2-22-22-20022-2-200000000000000000000000022-2-22−22−22−22−22-20000002−22−22−22−2000000000
χ3822-2-2222-20022-2-2-2-22000002-2-22-22-20022-2-200000000000000000000000022-2-2−22−22−22−222-2000000−22−22−22−22000000000
χ3922-2-2222-20022-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000-2-2222−22−2−22−22-220000002−22−2−22−22000000000
χ4022-2-2222-20022-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000-2-222−22−222−22−2-22000000−22−222−22−2000000000
χ4122-2-222-220022-2-2-2-22000002-2-2-22-2200-2-22200000000000000000000000022-2-22−2−222−2−22-220000002−2−222−2−22000000000
χ4222-2-222-220022-2-2-2-22000002-2-2-22-2200-2-22200000000000000000000000022-2-2−222−2−222−2-22000000−222−2−222−2000000000
χ4322-2-222-220022-2-2-2-22000002-2-2-22-2200-2-222000000000000000000000000-2-2222−2−22−222−22-20000002−2−22−222−2000000000
χ4422-2-222-220022-2-2-2-22000002-2-2-22-2200-2-222000000000000000000000000-2-222−222−22−2−222-2000000−222−22−2−22000000000
χ452-2-2222002-2-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i00002-22-200000000002-200000000000002i−2i000000
χ462-2-2222002-2-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i0000-22-220000000000-220000000000000−2i2i000000
χ472-2-2222002-2-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i00002-22-200000000002-20000000000000−2i2i000000
χ482-2-2222002-2-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i0000-22-220000000000-2200000000000002i−2i000000
χ492-2-222200-22-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-22-22-20000000000-220000000000000002-20000
χ502-2-222200-22-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-2-22-2200000000002-2000000000000000-220000
χ512-2-222200-22-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-2222-22-20000000000-22000000000000000-220000
χ522-2-222200-22-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-222-22-2200000000002-20000000000000002-20000
χ5344444-244-4-44-24-24-2-2-40000-2-2-244-2-2-42-2-2-2-2-42-42000000002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-240000-2-2-2-4-422-422222-424-20000000022-2-2000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-24-24-2-40000-2-2-2-2-2442-4-2-2-2-22-42-4000000002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-24-24-240000-2-2-222-4-42-422222-4-240000000022-2-2000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-444-4-41112222-2-2-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-24-4004-2-42-42-200000-2224-4-2200-2-2220000000000000000000000000000000022−2222−22000000000000−22−22000000000
χ6644-4-44-24-4004-2-42-42-200000-2224-4-2200-2-22200000000000000000000000000000000−2222−22220000000000002−22−2000000000
χ6744-4-44-2-44004-2-42-42-200000-222-442-20022-2-20000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ6844-4-44-2-44004-2-42-42-200000-222-442-20022-2-200000000000000000000000000000000−222222−220000000000002−2−22000000000
χ6944-4-4-244-400-242-42-4-200000-222-224-400-2-222000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ7044-4-4-244-400-242-42-4-200000-222-224-400-2-2220000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ7144-4-4-24-4400-242-42-4-200000-2222-2-440022-2-2000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ7244-4-4-24-4400-242-42-4-200000-2222-2-440022-2-20000000000000000000000000000−222222−220000000000002−2−220000000000000
χ734-44-4440000-4-444-4-4400000-4-4400000000000000000000000000000000004-4-44000000000000000000000000000000000
χ744-44-4440000-4-444-4-4400000-4-440000000000000000000000000000000000-444-4000000000000000000000000000000000
χ754-4-444-2004-4-42-424-2-204i−4i002-2200004-20000-42004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ764-4-444-2004-4-42-424-2-20−4i4i002-2200004-20000-4200−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ774-4-444-200-44-42-424-2-20004-42-220000-4200004-20000004-4-222-2000000-2-2220000000000000000000000000000000000000
χ784-4-444-200-44-42-424-2-2000-442-220000-4200004-2000000-442-22-200000022-2-20000000000000000000000000000000000000
χ794-4-44-24004-42-42-4-24-204i−4i002-220000-2400002-400−2i2i4i−4i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ804-4-44-24004-42-42-4-24-20−4i4i002-220000-2400002-4002i−2i−4i4i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ814-4-44-2400-442-42-4-24-20004-42-2200002-40000-24000000-224-42-2000000-2-2220000000000000000000000000000000000000
χ824-4-44-2400-442-42-4-24-2000-442-2200002-40000-240000002-2-442-200000022-2-20000000000000000000000000000000000000
χ834-4-44-2-2004-42222-2-2104i−4i00-11-10000-2-23i−3i3i−3i2200−2i2i−2i2i00001-13i−3iii−i−i3-3-330000000000000000000000000000000000000
χ844-4-44-2-2004-42222-2-2104i−4i00-11-10000-2-2−3i3i−3i3i2200−2i2i−2i2i00001-1−3i3iii−i−i-333-30000000000000000000000000000000000000
χ854-4-44-2-2004-42222-2-210−4i4i00-11-10000-2-23i−3i3i−3i22002i−2i2i−2i00001-13i−3i−i−iii-333-30000000000000000000000000000000000000
χ864-4-44-2-2004-42222-2-210−4i4i00-11-10000-2-2−3i3i−3i3i22002i−2i2i−2i00001-1−3i3i−i−iii3-3-330000000000000000000000000000000000000
χ874-4-44-2-200-442222-2-210004-4-11-10000223i−3i3i−3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-10000000000000000000000000000000000000
χ884-4-44-2-200-442222-2-210004-4-11-1000022−3i3i−3i3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-10000000000000000000000000000000000000
χ894-4-44-2-200-442222-2-21000-44-11-10000223i−3i3i−3i-2-20000002-22-2-11−3i3i−3i3i3i−3i-1-1110000000000000000000000000000000000000
χ904-4-44-2-200-442222-2-21000-44-11-1000022−3i3i−3i3i-2-20000002-22-2-113i−3i3i−3i−3i3i-1-1110000000000000000000000000000000000000
χ9188-8-8-4-48-800-4-444442000002-2-2-44-440022-2-20000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-8800-4-444442000002-2-24-44-400-2-2220000000000000000000000000000000000000000000000000000000000000
χ938-88-88-40000-848-4-84-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800004-8-484-8-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4000044-4-444200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4000044-4-444200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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