Finite Group Databasebeta

← Group #11865816

Character table — Group #11865816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12223344446666663444446661212121212121212121212121212121212121212121212121212121212121212121244448888888822442244242424242424242422444661212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-111-11-11
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1111111-1111-11-1
χ91111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-1-1-1-1111-1-11
χ101111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-111-1-1-111-1-111-1-1-111-111-1
χ111111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111-1-111-1-1
χ121111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1111-1-1-1-111
χ131111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-111-1-1-111-111-1-111-1-111-1-1-1-111-1
χ141111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-11111-1-11-1-11-1-111-1-11111-1-1-11-1-11
χ151111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1-111
χ161111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1
χ17222222-222-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-200000000222200000000-2-22200000000000000-2000000
χ18222222-222-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-200000000-2-2-2-20000000022-2-2000000000000002000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000-2-2-2-200000000222200000000000000-2000000
χ2122222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ2222222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ2322222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-11111111100000000222200000-20-20000-1-1-1-1000000101
χ2422222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-11111111100000000-2-2-2-20000020200001111000000-10-1
χ2522222-12-2-222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-111110000000022-2-200000-2020000-1-11100000010-1
χ2622222-12-2-222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-1111100000000-2-2220000020-2000011-1-1000000-101
χ2722222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-10000000022-2-20000020-20000-1-111000000-101
χ2822222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-100000000-2-22200000-202000011-1-100000010-1
χ292222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ302222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ312222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000222200000000-20-20-1-1-1-10000000001010
χ322222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000020201111000000000-10-10
χ332222-122-2-22-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-11111000022-2-20000000020-20-1-111000000000-1010
χ342222-122-2-22-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-202011-1-100000000010-10
χ352222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2020-1-11100000000010-10
χ362222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-10000-2-2220000000020-2011-1-1000000000-1010
χ3722-2-22202i−2i0-2-222-2-2200000-22-22i−2i2i−2i002i2i−2i−2i0000000000000000000000002i2i−2i−2i2−2i2−i2i2−i22−2002-200002−2i2−i2i2−i22−2000000000
χ3822-2-22202i−2i0-2-222-2-2200000-22-22i−2i2i−2i002i2i−2i−2i0000000000000000000000002i2i−2i−2i−22−i2i2−i2i2−22002-20000−22−i2i2−i2i2−22000000000
χ3922-2-22202i−2i0-2-222-2-2200000-22-22i−2i2i−2i002i2i−2i−2i000000000000000000000000−2i−2i2i2i2−2i2−i2−i2i2−2200-2200002−2i2−i2−i2i2−22000000000
χ4022-2-22202i−2i0-2-222-2-2200000-22-22i−2i2i−2i002i2i−2i−2i000000000000000000000000−2i−2i2i2i−22−i2i2i2−i22−200-220000−22−i2i2i2−i22−2000000000
χ4122-2-2220−2i2i0-2-222-2-2200000-22-2−2i2i−2i2i00−2i−2i2i2i0000000000000000000000002i2i−2i−2i2−2−i2i2i2−i2−2200-2200002−2−i2i2i2−i2−22000000000
χ4222-2-2220−2i2i0-2-222-2-2200000-22-2−2i2i−2i2i00−2i−2i2i2i0000000000000000000000002i2i−2i−2i−22i2−i2−i2i22−200-220000−22i2−i2−i2i22−2000000000
χ4322-2-2220−2i2i0-2-222-2-2200000-22-2−2i2i−2i2i00−2i−2i2i2i000000000000000000000000−2i−2i2i2i2−2−i2i2−i2i22−2002-200002−2−i2i2−i2i22−2000000000
χ4422-2-2220−2i2i0-2-222-2-2200000-22-2−2i2i−2i2i00−2i−2i2i2i000000000000000000000000−2i−2i2i2i−22i2−i2i2−i2−22002-20000−22i2−i2i2−i2−22000000000
χ452-22-222200-2-2-2-2-222202i−2i00-2-220000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i00002-22-2000000002-2000000000000000002i−2i0000
χ462-22-222200-2-2-2-2-222202i−2i00-2-220000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i0000-22-2200000000-2200000000000000000−2i2i0000
χ472-22-222200-2-2-2-2-22220−2i2i00-2-220000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i00002-22-2000000002-200000000000000000−2i2i0000
χ482-22-222200-2-2-2-2-22220−2i2i00-2-220000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i0000-22-2200000000-22000000000000000002i−2i0000
χ492-22-222-2002-2-2-2-22220002-2-2-220000-2-20000220000002-22-2-2200000022-2-22-22-200000000-22000000000000002-20000000
χ502-22-222-2002-2-2-2-22220002-2-2-220000-2-20000220000002-22-2-2200000022-2-2-22-22000000002-200000000000000-220000000
χ512-22-222-2002-2-2-2-2222000-22-2-220000-2-2000022000000-22-22-22000000-2-2222-22-200000000-2200000000000000-220000000
χ522-22-222-2002-2-2-2-2222000-22-2-220000-2-2000022000000-22-22-22000000-2-222-22-22000000002-2000000000000002-20000000
χ5344444-2-444-44-24-24-2-2-40000-2-2-244-2-2-42-2-2-2-2-42-42000000002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-240000-2-2-2-4-422-422222-424-20000000022-2-2000000000000000000000000000000000000000000000
χ554444-24-444-4-24-24-24-2-40000-2-2-2-2-2442-4-2-2-2-22-42-4000000002222000000000000000000000000000000000000000000000
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
χ594444-2-24-4-44-2-2-2-2-2-21-444-4-41112222-2-2-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
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
χ6544-4-44-204i−4i0-424-2-42-2000002-224i−4i−2i2i00−2i−2i2i2i000000000000000000000000000000002i2−2i222−22000000000000−i2i2−22000000000
χ6644-4-44-204i−4i0-424-2-42-2000002-224i−4i−2i2i00−2i−2i2i2i00000000000000000000000000000000−2i22i2−2222000000000000i2−i22−2000000000
χ6744-4-44-20−4i4i0-424-2-42-2000002-22−4i4i2i−2i002i2i−2i−2i000000000000000000000000000000002i2−2i2−2222000000000000−i2i22−2000000000
χ6844-4-44-20−4i4i0-424-2-42-2000002-22−4i4i2i−2i002i2i−2i−2i00000000000000000000000000000000−2i22i222−22000000000000i2−i2−22000000000
χ6944-4-4-2404i−4i02-4-242-4-2000002-22−2i2i4i−4i00−2i−2i2i2i000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ7044-4-4-2404i−4i02-4-242-4-2000002-22−2i2i4i−4i00−2i−2i2i2i0000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ7144-4-4-240−4i4i02-4-242-4-2000002-222i−2i−4i4i002i2i−2i−2i000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ7244-4-4-240−4i4i02-4-242-4-2000002-222i−2i−4i4i002i2i−2i−2i0000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ734-44-44-2400-4-42-424-2-204i−4i0022-200004-20000-42004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ744-44-44-2400-4-42-424-2-20−4i4i0022-200004-20000-4200−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ754-44-44-2-4004-42-424-2-20004-422-20000-4200004-20000004-4-222-2000000-2-2220000000000000000000000000000000000000
χ764-44-44-2-4004-42-424-2-2000-4422-20000-4200004-2000000-442-22-200000022-2-20000000000000000000000000000000000000
χ774-44-4-24400-42-42-4-24-204i−4i0022-20000-2400002-400−2i2i4i−4i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ784-44-4-24400-42-42-4-24-20−4i4i0022-20000-2400002-4002i−2i−4i4i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ794-44-4-24-40042-42-4-24-20004-422-200002-40000-24000000-224-42-2000000-2-2220000000000000000000000000000000000000
χ804-44-4-24-40042-42-4-24-2000-4422-200002-40000-240000002-2-442-200000022-2-20000000000000000000000000000000000000
χ814-44-4-2-2400-42222-2-2104i−4i00-1-110000-2-23i−3i3i−3i2200−2i2i−2i2i00001-13i−3iii−i−i3-3-330000000000000000000000000000000000000
χ824-44-4-2-2400-42222-2-2104i−4i00-1-110000-2-2−3i3i−3i3i2200−2i2i−2i2i00001-1−3i3iii−i−i-333-30000000000000000000000000000000000000
χ834-44-4-2-2400-42222-2-210−4i4i00-1-110000-2-23i−3i3i−3i22002i−2i2i−2i00001-13i−3i−i−iii-333-30000000000000000000000000000000000000
χ844-44-4-2-2400-42222-2-210−4i4i00-1-110000-2-2−3i3i−3i3i22002i−2i2i−2i00001-1−3i3i−i−iii3-3-330000000000000000000000000000000000000
χ854-44-4-2-2-40042222-2-210004-4-1-110000223i−3i3i−3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-10000000000000000000000000000000000000
χ864-44-4-2-2-40042222-2-210004-4-1-11000022−3i3i−3i3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-10000000000000000000000000000000000000
χ874-44-4-2-2-40042222-2-21000-44-1-110000223i−3i3i−3i-2-20000002-22-2-11−3i3i−3i3i3i−3i-1-1110000000000000000000000000000000000000
χ884-44-4-2-2-40042222-2-21000-44-1-11000022−3i3i−3i3i-2-20000002-22-2-113i−3i3i−3i−3i3i-1-1110000000000000000000000000000000000000
χ894-4-4444000044-4-4-4-44000004-4-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-4444000044-4-4-4-44000004-4-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ9188-8-8-4-408i−8i044-4-444200000-22-2−4i4i−4i4i002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40−8i8i044-4-444200000-22-24i−4i4i−4i00−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ938-8-888-400008-4-84-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-484-84-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000-4-444442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000-4-444442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000000000

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