Finite Group Databasebeta

← Group #11865539

Character table — Group #11865539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666622344466612121212121212121212121266666666121212121212121212121212121222228888888844442244242424242424242422444661212
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
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-111-11-11
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1111111-1111-11-1
χ91111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-111-1-1
χ101111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-111
χ111111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-11
χ121111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1111-111-1
χ131111111-1-11111111-1-11-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-111-1-111
χ141111111-1-11111111-1-11-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-11111-1-1
χ151111111-1-11111111-1-11-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111111-1-1-111-1
χ161111111-1-11111111-1-11-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1111-1-11-1-11
χ17222222-222-2222222002-2002222222-2-22222-2-200000000-2-20000-2-2-2-20000222200000000-2-22200000000000000-2000000
χ18222222-222-2222222002-2002222222-2-22222-2-200000000-2-20000-2-2-2-20000-2-2-2-20000000022-2-2000000000000002000000
χ19222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000-2-2-2-200000000222200000000000000-2000000
χ2122222-122222-12-12-122-1222-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ2222222-122222-12-12-122-1222-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ2322222-122222-12-12-1-2-2-12-2-2-1-1-122-1-12-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-1111100000000222200000-20-20000-1-1-1-1000000101
χ2422222-122222-12-12-1-2-2-12-2-2-1-1-122-1-12-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-1111100000000-2-2-2-20000020200001111000000-10-1
χ2522222-12-2-222-12-12-122-1-2-2-2-1-1-1-2-2112-111112-122-1-1-1-1-1-1-21-2-211-1-11111110000000022-2-20000020-20000-1-111000000-101
χ2622222-12-2-222-12-12-122-1-2-2-2-1-1-1-2-2112-111112-122-1-1-1-1-1-1-21-2-211-1-111111100000000-2-22200000-202000011-1-100000010-1
χ2722222-12-2-222-12-12-1-2-2-1-222-1-1-1-2-2112-111112-1-2-2111111-2122-1-1-1-111-1-1-1-10000000022-2-200000-2020000-1-11100000010-1
χ2822222-12-2-222-12-12-1-2-2-1-222-1-1-1-2-2112-111112-1-2-2111111-2122-1-1-1-111-1-1-1-100000000-2-2220000020-2000011-1-1000000-101
χ292222-122222-12-12-1222-1222-1-1-1-1-122-12-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ302222-122222-12-12-1222-1222-1-1-1-1-122-12-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ312222-122222-12-12-12-2-2-12-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-111110000222200000000-20-20-1-1-1-10000000001010
χ322222-122222-12-12-12-2-2-12-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-111110000-2-2-2-20000000020201111000000000-10-10
χ332222-122-2-22-12-12-1222-1-2-2-2-1-1-111-2-2-121111-12-1-122-1-1-1-11-211-2-2-1-1111111000022-2-20000000020-20-1-111000000000-1010
χ342222-122-2-22-12-12-1222-1-2-2-2-1-1-111-2-2-121111-12-1-122-1-1-1-11-211-2-2-1-11111110000-2-22200000000-202011-1-100000000010-10
χ352222-122-2-22-12-12-12-2-2-1-222-1-1-111-2-2-121111-1211-2-211111-2-1-122-1-111-1-1-1-1000022-2-200000000-2020-1-11100000000010-10
χ362222-122-2-22-12-12-12-2-2-1-222-1-1-111-2-2-121111-1211-2-211111-2-1-122-1-111-1-1-1-10000-2-2220000000020-2011-1-1000000000-1010
χ3722-2-22202i−2i022-2-2-2-20020002-2-22i−2i2i−2i002i2i−2i−2i00000000000000000000000022-2-22−2i2−i22−2i2−i2002i−2i00002−2i2−i22−2i2−i2000000000
χ3822-2-22202i−2i022-2-2-2-20020002-2-22i−2i2i−2i002i2i−2i−2i00000000000000000000000022-2-2−22−i2i2−22−i2i2002i−2i0000−22−i2i2−22−i2i2000000000
χ3922-2-22202i−2i022-2-2-2-20020002-2-22i−2i2i−2i002i2i−2i−2i000000000000000000000000-2-2222−2i2−i2−22−i2i200−2i2i00002−2i2−i2−22−i2i2000000000
χ4022-2-22202i−2i022-2-2-2-20020002-2-22i−2i2i−2i002i2i−2i−2i000000000000000000000000-2-222−22−i2i22−2i2−i200−2i2i0000−22−i2i22−2i2−i2000000000
χ4122-2-2220−2i2i022-2-2-2-20020002-2-2−2i2i−2i2i00−2i−2i2i2i00000000000000000000000022-2-22−2−i2i22−2−i2i200−2i2i00002−2−i2i22−2−i2i2000000000
χ4222-2-2220−2i2i022-2-2-2-20020002-2-2−2i2i−2i2i00−2i−2i2i2i00000000000000000000000022-2-2−22i2−i2−22i2−i200−2i2i0000−22i2−i2−22i2−i2000000000
χ4322-2-2220−2i2i022-2-2-2-20020002-2-2−2i2i−2i2i00−2i−2i2i2i000000000000000000000000-2-2222−2−i2i2−22i2−i2002i−2i00002−2−i2i2−22i2−i2000000000
χ4422-2-2220−2i2i022-2-2-2-20020002-2-2−2i2i−2i2i00−2i−2i2i2i000000000000000000000000-2-222−22i2−i22−2−i2i2002i−2i0000−22i2−i22−2−i2i2000000000
χ452-22-222200-2-2-2-2-22200202i−2i-22-20000220000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i2-22-2000000002-2000000000000000002i−2i0000
χ462-22-222200-2-2-2-2-22200202i−2i-22-20000220000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i-22-2200000000-2200000000000000000−2i2i0000
χ472-22-222200-2-2-2-2-2220020−2i2i-22-20000220000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i2-22-2000000002-200000000000000000−2i2i0000
χ482-22-222200-2-2-2-2-2220020−2i2i-22-20000220000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i-22-2200000000-22000000000000000002i−2i0000
χ492-22-222-2002-2-2-2-2222-22000-22-20000-2-20000222-22-222-2-2000000-220000002-22-200000000-22000000000000002-20000000
χ502-22-222-2002-2-2-2-2222-22000-22-20000-2-20000222-22-222-2-2000000-22000000-22-22000000002-200000000000000-220000000
χ512-22-222-2002-2-2-2-222-222000-22-20000-2-2000022-22-22-2-222000000-220000002-22-200000000-2200000000000000-220000000
χ522-22-222-2002-2-2-2-222-222000-22-20000-2-2000022-22-22-2-222000000-22000000-22-22000000002-2000000000000002-20000000
χ5344444-2-444-44-24-24-200-2-400-2-2-244-2-2-42-2-2-2-2-4200000000-420000222200000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-200-2400-2-2-2-4-422-422222-42000000004-2000022-2-200000000000000000000000000000000000000000
χ554444-24-444-4-24-24-2400-2-400-2-2-2-2-2442-4-2-2-2-22-4000000002-40000222200000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-24-2400-2400-2-2-222-4-42-422222-400000000-24000022-2-200000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-2441-4-4-41112222-2-2-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-2-4-41-4441112222-2-2-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-2001-400111-2-2-2-22211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-2001-400111-2-2-2-2221111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000000000000
χ6544-4-44-204i−4i04-2-42-4200-2000-2224i−4i−2i2i00−2i−2i2i2i0000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ6644-4-44-204i−4i04-2-42-4200-2000-2224i−4i−2i2i00−2i−2i2i2i00000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ6744-4-44-20−4i4i04-2-42-4200-2000-222−4i4i2i−2i002i2i−2i−2i0000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ6844-4-44-20−4i4i04-2-42-4200-2000-222−4i4i2i−2i002i2i−2i−2i00000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ6944-4-4-2404i−4i0-242-42-400-2000-222−2i2i4i−4i00−2i−2i2i2i000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ7044-4-4-2404i−4i0-242-42-400-2000-222−2i2i4i−4i00−2i−2i2i2i0000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ7144-4-4-240−4i4i0-242-42-400-2000-2222i−2i−4i4i002i2i−2i−2i000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ7244-4-4-240−4i4i0-242-42-400-2000-2222i−2i−4i4i002i2i−2i−2i0000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ734-44-44-2400-4-42-424-200-204i−4i2-2200004-20000-4200000000004i−4i−2i2i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ744-44-44-2400-4-42-424-200-20−4i4i2-2200004-20000-420000000000−4i4i2i−2i-22002i2i−2i−2i0000000000000000000000000000000000000
χ754-44-44-2-4004-42-424-24-4-20002-220000-4200004-24-4-22-2-2220000002-20000000000000000000000000000000000000000000
χ764-44-44-2-4004-42-424-2-44-20002-220000-4200004-2-442-222-2-20000002-20000000000000000000000000000000000000000000
χ774-44-4-24400-42-42-4-2400-204i−4i2-220000-2400002-40000000000−2i2i4i−4i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ784-44-4-24400-42-42-4-2400-20−4i4i2-220000-2400002-400000000002i−2i−4i4i-22002i2i−2i−2i0000000000000000000000000000000000000
χ794-44-4-24-40042-42-4-244-4-20002-2200002-40000-24-224-4-2-2220000002-20000000000000000000000000000000000000000000
χ804-44-4-24-40042-42-4-24-44-20002-2200002-40000-242-2-4422-2-20000002-20000000000000000000000000000000000000000000
χ814-44-4-2-2400-42222-2-200104i−4i-11-10000-2-23i−3i3i−3i2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i0000000000000000000000000000000000000
χ824-44-4-2-2400-42222-2-200104i−4i-11-10000-2-2−3i3i−3i3i220000-333-300−2i2i−2i2i1-1−3i3iii−i−i0000000000000000000000000000000000000
χ834-44-4-2-2400-42222-2-20010−4i4i-11-10000-2-23i−3i3i−3i220000-333-3002i−2i2i−2i1-13i−3i−i−iii0000000000000000000000000000000000000
χ844-44-4-2-2400-42222-2-20010−4i4i-11-10000-2-2−3i3i−3i3i2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii0000000000000000000000000000000000000
χ854-44-4-2-2-40042222-2-24-41000-11-10000223i−3i3i−3i-2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000000000000
χ864-44-4-2-2-40042222-2-24-41000-11-1000022−3i3i−3i3i-2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000000000000
χ874-44-4-2-2-40042222-2-2-441000-11-10000223i−3i3i−3i-2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000000000000
χ884-44-4-2-2-40042222-2-2-441000-11-1000022−3i3i−3i3i-2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000000000000
χ894-4-44440000-4-444-4-4004000-4-4400000000000000000000000000000000004-4-44000000000000000000000000000000000
χ904-4-44440000-4-444-4-4004000-4-440000000000000000000000000000000000-444-4000000000000000000000000000000000
χ9188-8-8-4-408i−8i0-4-444440020002-2-2−4i4i−4i4i002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40−8i8i0-4-444440020002-2-24i−4i4i−4i00−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000-848-4-8400-400044-400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-8-484-800-400044-400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-4-444002000-2-220000006-6-660000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000044-4-444002000-2-22000000-666-60000000000000000000000000000000000000000000000000000000000000

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