Finite Group Databasebeta

← Group #11865810

Character table — Group #11865810

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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
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
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
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
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11111-1-1
χ91111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11-11-111-1-111-1-1-1-1-1111-11-1
χ101111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-11-1-111-1-111-1-1-111-11-11
χ111111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111111-1-11-1-11
χ121111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1111-1-1-111-1
χ131111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-111-1-1-11-1111-1-111-1-111-1-1-1-11-11
χ141111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-11111-1-11-11-1-1-111-1-11111-1-1-11-11-1
χ151111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111-1-1111-111-1
χ161111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-11
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
χ2122222-122222-12-1-12-122222-1-1-122-1-1-12-1-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-122222-12-1-12-122222-1-1-122-1-1-12-1-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-122222-12-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-1-2-21111-2-2-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-122222-12-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-1-2-21111-2-2-1-1-1-1111111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-12-2-222-12-1-12-1-222-2-2-1-1-1-2-211-121111-12-2122-1-111-2-2-1-111-1-1-1-11111000022-2-2000000002-200-1-111000000000-1100
χ2622222-12-2-222-12-1-12-1-222-2-2-1-1-1-2-211-121111-12-2122-1-111-2-2-1-111-1-1-1-111110000-2-22200000000-220011-1-10000000001-100
χ2722222-12-2-222-12-1-12-1-2-2-222-1-1-1-2-211-121111-12-21-2-211-1-122-1-1111111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ2822222-12-2-222-12-1-12-1-2-2-222-1-1-1-2-211-121111-12-21-2-211-1-122-1-1111111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ292222-122222-12-122-1-122222-1-1-1-1-1222-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-12-122-1-122222-1-1-1-1-1222-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-12-122-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-1211-2-2-2-211-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-12-122-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-1211-2-2-2-211-1-1-1-11111111100000000-2-2-2-200000022000011110000000-1-1
χ332222-122-2-22-12-122-1-1-222-2-2-1-1-111-2-22-111112-11-2-1-122-2-211-1-111-1-1-1-111110000000022-2-20000002-20000-1-1110000000-11
χ342222-122-2-22-12-122-1-1-222-2-2-1-1-111-2-22-111112-11-2-1-122-2-211-1-111-1-1-1-1111100000000-2-222000000-22000011-1-100000001-1
χ352222-122-2-22-12-122-1-1-2-2-222-1-1-111-2-22-111112-11-211-2-222-1-1-1-1111111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ362222-122-2-22-12-122-1-1-2-2-222-1-1-111-2-22-111112-11-211-2-222-1-1-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ372-22-222200-2-2-2-22-22202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i000022-2-2000000002-2000000000000000002i−2i0000
χ382-22-222200-2-2-2-22-22202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i0000-2-22200000000-2200000000000000000−2i2i0000
χ392-22-222200-2-2-2-22-2220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i000022-2-2000000002-200000000000000000−2i2i0000
χ402-22-222200-2-2-2-22-2220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i0000-2-22200000000-22000000000000000002i−2i0000
χ412-22-222-2002-2-2-22-2220002-2-22-20000-2-20000220000002-22-2-2200000022-2-222-2-200000000-22000000000000002-20000000
χ422-22-222-2002-2-2-22-2220002-2-22-20000-2-20000220000002-22-2-2200000022-2-2-2-222000000002-200000000000000-220000000
χ432-22-222-2002-2-2-22-222000-22-22-20000-2-2000022000000-22-22-22000000-2-22222-2-200000000-2200000000000000-220000000
χ442-22-222-2002-2-2-22-222000-22-22-20000-2-2000022000000-22-22-22000000-2-222-2-222000000002-2000000000000002-20000000
χ452-2-222202-2022-2-2-2-22000002-2-22-22-20022-2-20000000000000000000000002i−2i2i−2ii2−i2i2−i22−22−2002i−2i0000i2−i2i2−i22−22−2000000000
χ462-2-222202-2022-2-2-2-22000002-2-22-22-20022-2-20000000000000000000000002i−2i2i−2i−i2i2−i2i2−22−22002i−2i0000−i2i2−i2i2−22−22000000000
χ472-2-222202-2022-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000−2i2i−2i2ii2−i2i2−i2−22−2200−2i2i0000i2−i2i2−i2−22−22000000000
χ482-2-222202-2022-2-2-2-22000002-2-22-22-20022-2-2000000000000000000000000−2i2i−2i2i−i2i2−i2i22−22−200−2i2i0000−i2i2−i2i22−22−2000000000
χ492-2-22220-22022-2-2-2-22000002-2-2-22-2200-2-2220000000000000000000000002i−2i2i−2ii2−i2−i2i22−2−2200−2i2i0000i2−i2−i2i22−2−22000000000
χ502-2-22220-22022-2-2-2-22000002-2-2-22-2200-2-2220000000000000000000000002i−2i2i−2i−i2i2i2−i2−222−200−2i2i0000−i2i2i2−i2−222−2000000000
χ512-2-22220-22022-2-2-2-22000002-2-2-22-2200-2-222000000000000000000000000−2i2i−2i2ii2−i2−i2i2−222−2002i−2i0000i2−i2−i2i2−222−2000000000
χ522-2-22220-22022-2-2-2-22000002-2-2-22-2200-2-222000000000000000000000000−2i2i−2i2i−i2i2i2−i22−2−22002i−2i0000−i2i2i2−i22−2−22000000000
χ5344444-2-444-44-24-2-24-2-40000-2-2-244-2-22-4-2-2-2-22-4-42000000002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-2-24-240000-2-2-2-4-4222-422222-44-20000000022-2-2000000000000000000000000000000000000000000000
χ554444-24-444-4-24-244-2-2-40000-2-2-2-2-244-42-2-2-2-2-422-4000000002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-244-2-240000-2-2-222-4-4-422222-42-240000000022-2-2000000000000000000000000000000000000000000000
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
χ6544-4-4440000-4-44-44-4400000-4-4400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ6644-4-4440000-4-44-44-4400000-4-440000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ674-44-44-2400-4-42-4-224-204i−4i002-220000-2400002-4004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ684-44-44-2400-4-42-4-224-20−4i4i002-220000-2400002-400−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ694-44-44-2-4004-42-4-224-20004-42-2200002-40000-24000000-224-42-2000000-2-2220000000000000000000000000000000000000
χ704-44-44-2-4004-42-4-224-2000-442-2200002-40000-240000002-2-442-200000022-2-20000000000000000000000000000000000000
χ714-44-4-24400-42-424-4-2-204i−4i002-2200004-20000-4200−2i2i4i−4i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ724-44-4-24400-42-424-4-2-20−4i4i002-2200004-20000-42002i−2i−4i4i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ734-44-4-24-40042-424-4-2-20004-42-220000-4200004-20000004-4-222-2000000-2-2220000000000000000000000000000000000000
χ744-44-4-24-40042-424-4-2-2000-442-220000-4200004-2000000-442-22-200000022-2-20000000000000000000000000000000000000
χ754-44-4-2-2400-4222-22-2104i−4i00-11-10000-2-23i−3i3i−3i2200−2i2i−2i2i00001-13i−3iii−i−i3-3-330000000000000000000000000000000000000
χ764-44-4-2-2400-4222-22-2104i−4i00-11-10000-2-2−3i3i−3i3i2200−2i2i−2i2i00001-1−3i3iii−i−i-333-30000000000000000000000000000000000000
χ774-44-4-2-2400-4222-22-210−4i4i00-11-10000-2-23i−3i3i−3i22002i−2i2i−2i00001-13i−3i−i−iii-333-30000000000000000000000000000000000000
χ784-44-4-2-2400-4222-22-210−4i4i00-11-10000-2-2−3i3i−3i3i22002i−2i2i−2i00001-1−3i3i−i−iii3-3-330000000000000000000000000000000000000
χ794-44-4-2-2-4004222-22-210004-4-11-10000223i−3i3i−3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-10000000000000000000000000000000000000
χ804-44-4-2-2-4004222-22-210004-4-11-1000022−3i3i−3i3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-10000000000000000000000000000000000000
χ814-44-4-2-2-4004222-22-21000-44-11-10000223i−3i3i−3i-2-20000002-22-2-11−3i3i−3i3i3i−3i-1-1110000000000000000000000000000000000000
χ824-44-4-2-2-4004222-22-21000-44-11-1000022−3i3i−3i3i-2-20000002-22-2-113i−3i3i−3i−3i3i-1-1110000000000000000000000000000000000000
χ834-4-444-204-404-2-422-4-200000-2224-4-2200-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ844-4-444-204-404-2-422-4-200000-2224-4-2200-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ854-4-444-20-4404-2-422-4-200000-222-442-20022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ864-4-444-20-4404-2-422-4-200000-222-442-20022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ874-4-44-2404-40-242-4-42-200000-222-224-400-2-2220000000000000000000000000000000022−2222−22000000000000−22−22000000000
χ884-4-44-2404-40-242-4-42-200000-222-224-400-2-22200000000000000000000000000000000−2222−22220000000000002−22−2000000000
χ894-4-44-240-440-242-4-42-200000-2222-2-440022-2-20000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ904-4-44-240-440-242-4-42-200000-2222-2-440022-2-200000000000000000000000000000000−222222−220000000000002−2−22000000000
χ9188-8-88-40000-8484-4-8-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4800004-8-4-884-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4000044-44-44200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4000044-44-44200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-408-80-4-444442000002-2-2-44-440022-2-20000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40-880-4-444442000002-2-24-44-400-2-2220000000000000000000000000000000000000000000000000000000000000

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