Finite Group Databasebeta

← Group #11870803

Character table — Group #11870803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212124444888888882244444424242424242424244444412121212
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
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ9111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-111-1-11-11-1
χ10111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-111-1-1-11-11
χ11111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-11
χ12111111-1-1111111111-111-1-1111-1-1-1-111-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-11-1-111-111-1
χ13111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-111-11-11
χ14111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-1-1111-11-1-1-111-1-111-1-1-1111-11-1
χ15111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-111-1
χ16111111-1-1111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-200002222222-2-22222-2-2-20000-20000-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-200002222222-2-22222-2-2-20000-20000-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-1-122-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ2222222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-1-122-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ2322222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-1-1-2-211211-2-2-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000000011
χ2422222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-1-1-2-211211-2-2-1-1-1-11111111100000000-2-2-2-200000022000011110000000-1-1
χ2522222-1-2-2222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-112211-2-1-1-2-2-1-111-1-1-1-111110000000022-2-20000002-20000-1-1110000000-11
χ2622222-1-2-2222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-112211-2-1-1-2-2-1-111-1-1-1-1111100000000-2-222000000-22000011-1-100000001-1
χ2722222-1-2-2222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-11-2-2-1-1-21122-1-1111111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ2822222-1-2-2222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-11-2-2-1-1-21122-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ292222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-122-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ302222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-122-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ312222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12211-2-2-1-2-211-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000001100
χ322222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12211-2-2-1-2-211-1-1-1-1111111110000-2-2-2-20000000022001111000000000-1-100
χ332222-12-2-222-12-12-12-1-222-2-2-1-1-111-2-2-121111-12-2-1-1-2-212211-1-111-1-1-1-11111000022-2-2000000002-200-1-111000000000-1100
χ342222-12-2-222-12-12-12-1-222-2-2-1-1-111-2-2-121111-12-2-1-1-2-212211-1-111-1-1-1-111110000-2-22200000000-220011-1-10000000001-100
χ352222-12-2-222-12-12-12-1-2-2-222-1-1-111-2-2-121111-12-211221-2-2-1-1-1-1111111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ362222-12-2-222-12-12-12-1-2-2-222-1-1-111-2-2-121111-12-211221-2-2-1-1-1-1111111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
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
χ452-22-222002-2-2-22-2-2220002i−2i-22-20000-2200002-20002i−2i0002i−2i2-20000002i2i−2i−2i2i−2i2i−2i00000000002i−2i0000000000000002-20000
χ462-22-222002-2-2-22-2-2220002i−2i-22-20000-2200002-20002i−2i0002i−2i2-20000002i2i−2i−2i−2i2i−2i2i0000000000−2i2i000000000000000-220000
χ472-22-222002-2-2-22-2-222000−2i2i-22-20000-2200002-2000−2i2i000−2i2i2-2000000−2i−2i2i2i2i−2i2i−2i00000000002i−2i000000000000000-220000
χ482-22-222002-2-2-22-2-222000−2i2i-22-20000-2200002-2000−2i2i000−2i2i2-2000000−2i−2i2i2i−2i2i−2i2i0000000000−2i2i0000000000000002-20000
χ492-22-22200-22-2-22-2-22202-200-22-200002-20000-2202-20002-200-220022-2-200002i−2i2i−2i0000000000−2i2i00000000000002i−2i000000
χ502-22-22200-22-2-22-2-22202-200-22-200002-20000-2202-20002-200-220022-2-20000−2i2i−2i2i00000000002i−2i0000000000000−2i2i000000
χ512-22-22200-22-2-22-2-2220-2200-22-200002-20000-220-22000-2200-2200-2-22200002i−2i2i−2i0000000000−2i2i0000000000000−2i2i000000
χ522-22-22200-22-2-22-2-2220-2200-22-200002-20000-220-22000-2200-2200-2-2220000−2i2i−2i2i00000000002i−2i00000000000002i−2i000000
χ5344444-244-4-44-24-24-2-2-40000-2-2-244-2-2-42-2-2-2-2-4220000-400002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-240000-2-2-2-4-422-422222-42-200004000022-2-2000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-24-24-2-40000-2-2-2-2-2442-4-2-2-2-22-4-40000200002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-24-24-240000-2-2-222-4-42-422222-440000-2000022-2-2000000000000000000000000000000000000000000000
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
χ584444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-22222-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-40000111-2-2-2-2221111222000020000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-40000111-2-2-2-2221111222000020000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-444-4-41112222-2-2-1-1-1-1-2-22-2-2222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-20000-20000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-20000-20000-1-111-33-333-33-30000000000000000000000000000000000000
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
χ734-44-44-2004-4-4242-4-2-20004i−4i2-220000-4-2000042000−2i2i0004i−4i-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ744-44-44-2004-4-4242-4-2-2000−4i4i2-220000-4-20000420002i−2i000−4i4i-220000002i2i−2i−2i0000000000000000000000000000000000000
χ754-44-44-200-44-4242-4-2-204-4002-220000420000-4-204-4000-22002-200-2-22200000000000000000000000000000000000000000
χ764-44-44-200-44-4242-4-2-20-44002-220000420000-4-20-440002-2002-20022-2-200000000000000000000000000000000000000000
χ774-44-4-24004-42-4-2-424-20004i−4i2-220000240000-2-40004i−4i000−2i2i-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ784-44-4-24004-42-4-2-424-2000−4i4i2-220000240000-2-4000−4i4i0002i−2i-220000002i2i−2i−2i0000000000000000000000000000000000000
χ794-44-4-2400-442-4-2-424-204-4002-220000-2-40000240-220004-4002-200-2-22200000000000000000000000000000000000000000
χ804-44-4-2400-442-4-2-424-20-44002-220000-2-400002402-2000-44002-20022-2-200000000000000000000000000000000000000000
χ814-44-4-2-2004-422-222-210004i−4i-11-100002-23i−3i3i−3i-22000−2i2i000−2i2i1-13i−3i3-3-33ii−i−i0000000000000000000000000000000000000
χ824-44-4-2-2004-422-222-210004i−4i-11-100002-2−3i3i−3i3i-22000−2i2i000−2i2i1-1−3i3i-333-3ii−i−i0000000000000000000000000000000000000
χ834-44-4-2-2004-422-222-21000−4i4i-11-100002-23i−3i3i−3i-220002i−2i0002i−2i1-13i−3i-333-3−i−iii0000000000000000000000000000000000000
χ844-44-4-2-2004-422-222-21000−4i4i-11-100002-2−3i3i−3i3i-220002i−2i0002i−2i1-1−3i3i3-3-33−i−iii0000000000000000000000000000000000000
χ854-44-4-2-200-4422-222-2104-400-11-10000-223i−3i3i−3i2-20-22000-2200-11−3i3i11-1-13i−3i−3i3i0000000000000000000000000000000000000
χ864-44-4-2-200-4422-222-2104-400-11-10000-22−3i3i−3i3i2-20-22000-2200-113i−3i11-1-1−3i3i3i−3i0000000000000000000000000000000000000
χ874-44-4-2-200-4422-222-210-4400-11-10000-223i−3i3i−3i2-202-20002-200-11−3i3i-1-111−3i3i3i−3i0000000000000000000000000000000000000
χ884-44-4-2-200-4422-222-210-4400-11-10000-22−3i3i−3i3i2-202-20002-200-113i−3i-1-1113i−3i−3i3i0000000000000000000000000000000000000
χ894-4-44440000-4-4-444-4400000-4-4400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-44440000-4-4-444-4400000-4-440000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
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
χ938-8-888-40000-84-8-484-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-848-4-8-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000444-4-44200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000444-4-44200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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