Finite Group Databasebeta

← Group #11869389

Character table — Group #11869389

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12222233446666663444446666666666612121212121212121212121212121212121212121212121212122222888888882244444424242424242424244444412121212
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
χ5111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ91111-1-111111111111-111-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-1
χ101111-1-111111111111-111-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-111-1-1-1-111
χ111111-1-111111111111-111-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-11
χ121111-1-111111111111-111-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-11-1-111-111-1
χ131111-1-111111111111-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111
χ141111-1-111111111111-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-11111-1-1
χ151111-1-111111111111-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-111-1
χ161111-1-111111111111-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-2000022222222222-2-2-2-200000000-2-2-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-2000022222222222-2-2-2-200000000-2-2-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ192222222-1222-12-12-1-12222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-12222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ212222222-1222-12-12-1-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-1-2-211-2-2112-1-1-1-1-11111111100000000222200000-20-20000-1-1-1-1000000101
χ222222222-1222-12-12-1-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-1-2-211-2-2112-1-1-1-1-11111111100000000-2-2-2-20000020200001111000000-10-1
χ23222222-1222-12-12-12-122222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-12-1-1-1-1-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-122222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-12-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ25222222-1222-12-12-12-12-2-2-2-2-1-122-1-1-1-1-1-1-1-1-12211-2-211-2-2-12-1-1-1-1111111110000222200000000-20-20-1-1-1-10000000001010
χ26222222-1222-12-12-12-12-2-2-2-2-1-122-1-1-1-1-1-1-1-1-12211-2-211-2-2-12-1-1-1-1111111110000-2-2-2-20000000020201111000000000-10-10
χ272222-2-222-2-2222222220000-2-2-2-22-2-2-2-222-2-2-2-20000000022-2-22200000000222200000000-2-2-2-2000000000000200000000
χ282222-2-222-2-2222222220000-2-2-2-22-2-2-2-222-2-2-2-20000000022-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ292222-2-22-1222-12-12-1-1-222-2-2-2-211-11111-1-122-1-122-1-1-2-211-21-1-111-1-1-1-111110000000022-2-20000020-20000-1-111000000-101
χ302222-2-22-1222-12-12-1-1-222-2-2-2-211-11111-1-122-1-122-1-1-2-211-21-1-111-1-1-1-1111100000000-2-22200000-202000011-1-100000010-1
χ312222-2-22-1222-12-12-1-1-2-2-222-2-211-11111-1-122-1-1-2-21122-1-1-21-1-1111111-1-1-1-10000000022-2-200000-2020000-1-11100000010-1
χ322222-2-22-1222-12-12-1-1-2-2-222-2-211-11111-1-122-1-1-2-21122-1-1-21-1-1111111-1-1-1-100000000-2-2220000020-2000011-1-1000000-101
χ332222-2-2-1222-12-12-12-1-222-2-211-2-2-11111-1-1-1-122-1-12211-2-21-2-1-111-1-1-1-11111000022-2-20000000020-20-1-111000000000-1010
χ342222-2-2-1222-12-12-12-1-222-2-211-2-2-11111-1-1-1-122-1-12211-2-21-2-1-111-1-1-1-111110000-2-22200000000-202011-1-100000000010-10
χ352222-2-2-1222-12-12-12-1-2-2-22211-2-2-11111-1-1-1-12211-2-2-1-1221-2-1-1111111-1-1-1-1000022-2-200000000-2020-1-11100000000010-10
χ362222-2-2-1222-12-12-12-1-2-2-22211-2-2-11111-1-1-1-12211-2-2-1-1221-2-1-1111111-1-1-1-10000-2-2220000000020-2011-1-1000000000-1010
χ372-22-200222-2-2-2-2-22220002i−2i0000-200002-22-22-200002i−2i2i−2i002-20000002i2i−2i−2i22-2-200000000002-20000000000000002i−2i0000
χ382-22-200222-2-2-2-2-22220002i−2i0000-200002-22-22-200002i−2i2i−2i002-20000002i2i−2i−2i-2-2220000000000-22000000000000000−2i2i0000
χ392-22-200222-2-2-2-2-2222000−2i2i0000-200002-22-22-20000−2i2i−2i2i002-2000000−2i−2i2i2i22-2-200000000002-2000000000000000−2i2i0000
χ402-22-200222-2-2-2-2-2222000−2i2i0000-200002-22-22-20000−2i2i−2i2i002-2000000−2i−2i2i2i-2-2220000000000-220000000000000002i−2i0000
χ412-22-20022-22-2-2-2-222202i−2i000000-200002-2-22-222i−2i2i−2i000000-22002i2i−2i−2i000022-2-20000000000-2200000000000002i−2i000000
χ422-22-20022-22-2-2-2-222202i−2i000000-200002-2-22-222i−2i2i−2i000000-22002i2i−2i−2i0000-2-22200000000002-20000000000000−2i2i000000
χ432-22-20022-22-2-2-2-22220−2i2i000000-200002-2-22-22−2i2i−2i2i000000-2200−2i−2i2i2i000022-2-20000000000-220000000000000−2i2i000000
χ442-22-20022-22-2-2-2-22220−2i2i000000-200002-2-22-22−2i2i−2i2i000000-2200−2i−2i2i2i0000-2-22200000000002-200000000000002i−2i000000
χ452-2-222-2220022-2-2-2-22000002-22-2-222-2-2-22000000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i22-2000000i2−i2i2−i2i2−i2i2−i2000000000
χ462-2-222-2220022-2-2-2-22000002-22-2-222-2-2-22000000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i22-2000000−i2i2−i2i2−i2i2−i2i2000000000
χ472-2-222-2220022-2-2-2-22000002-22-2-222-2-2-2200000000000000000000000000-22-22i2−i2i2−i2−i2i2−i2i2-22000000i2−i2i2−i2−i2i2−i2i2000000000
χ482-2-222-2220022-2-2-2-22000002-22-2-222-2-2-2200000000000000000000000000-22-22−i2i2−i2i2i2−i2i2−i2-22000000−i2i2−i2i2i2−i2i2−i2000000000
χ492-2-22-22220022-2-2-2-2200000-22-22-2-2-222-22000000000000000000000000002-22-2i2−i2−i2i2i2−i2−i2i2-22000000i2−i2−i2i2i2−i2−i2i2000000000
χ502-2-22-22220022-2-2-2-2200000-22-22-2-2-222-22000000000000000000000000002-22-2−i2i2i2−i2−i2i2i2−i2-22000000−i2i2i2−i2−i2i2i2−i2000000000
χ512-2-22-22220022-2-2-2-2200000-22-22-2-2-222-2200000000000000000000000000-22-22i2−i2−i2i2−i2i2i2−i22-2000000i2−i2−i2i2−i2i2i2−i2000000000
χ522-2-22-22220022-2-2-2-2200000-22-22-2-2-222-2200000000000000000000000000-22-22−i2i2i2−i2i2−i2−i2i22-2000000−i2i2i2−i2i2−i2−i2i2000000000
χ534444444-2-4-44-24-24-2-2-4000044-2-2-2-2-2-2-2-2-2-4-42200000000-422222000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-24-24-2-40000-2-244-2-2-2-2-2-2-222-4-4000000002-42222000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2144444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-4-4-4-4-2-2-2-21111111-2-2-2-222222222-2-21111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-40000-2-2-2-2111111122220000000022-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-40000-2-2-2-2111111122220000000022-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ594444-4-44-2-4-44-24-24-2-240000-4-422-22222-2-2-4-422000000004-222-2-2000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-24-24-24-24000022-4-4-22222-2-222-4-400000000-2422-2-2000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-444-4-422221-1-1-1-111-2-2-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-4-4-44422221-1-1-1-111-2-2-2-22222-2-2-2-22211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-214000022221-1-1-1-111222200000000-2-2-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-214000022221-1-1-1-111222200000000-2-2-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-4004400-4-444-4-4400000000040000-4-4000000000000000000000000004-4-44000000000000000000000000000000000
χ6644-4-4004400-4-444-4-4400000000040000-4-400000000000000000000000000-444-4000000000000000000000000000000000
χ674-44-4004-24-4-42-424-2-20004i−4i000020000-224-4-2200004i−4i−2i2i00-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ684-44-4004-24-4-42-424-2-2000−4i4i000020000-224-4-220000−4i4i2i−2i00-220000002i2i−2i−2i0000000000000000000000000000000000000
χ694-44-4004-2-44-42-424-2-204i−4i00000020000-22-442-24i−4i−2i2i0000002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ704-44-4004-2-44-42-424-2-20−4i4i00000020000-22-442-2−4i4i2i−2i0000002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ714-44-400-244-42-42-4-24-20004i−4i000020000-22-224-40000−2i2i4i−4i00-22000000−2i−2i2i2i0000000000000000000000000000000000000
χ724-44-400-244-42-42-4-24-2000−4i4i000020000-22-224-400002i−2i−4i4i00-220000002i2i−2i−2i0000000000000000000000000000000000000
χ734-44-400-24-442-42-4-24-204i−4i00000020000-222-2-44−2i2i4i−4i0000002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ744-44-400-24-442-42-4-24-20−4i4i00000020000-222-2-442i−2i−4i4i0000002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ754-44-400-2-24-42222-2-210004i−4i0000-13-33-31-1-22-220000−2i2i−2i2i001-13-33i−3i−3i3iii−i−i0000000000000000000000000000000000000
χ764-44-400-2-24-42222-2-210004i−4i0000-1-33-331-1-22-220000−2i2i−2i2i001-1-33−3i3i3i−3iii−i−i0000000000000000000000000000000000000
χ774-44-400-2-24-42222-2-21000−4i4i0000-13-33-31-1-22-2200002i−2i2i−2i001-13-3−3i3i3i−3i−i−iii0000000000000000000000000000000000000
χ784-44-400-2-24-42222-2-21000−4i4i0000-1-33-331-1-22-2200002i−2i2i−2i001-1-333i−3i−3i3i−i−iii0000000000000000000000000000000000000
χ794-44-400-2-2-442222-2-2104i−4i000000-13-33-31-12-22-2−2i2i−2i2i000000-11-33ii−i−i3i−3i−3i3i0000000000000000000000000000000000000
χ804-44-400-2-2-442222-2-2104i−4i000000-1-33-331-12-22-2−2i2i−2i2i000000-113-3ii−i−i−3i3i3i−3i0000000000000000000000000000000000000
χ814-44-400-2-2-442222-2-210−4i4i000000-13-33-31-12-22-22i−2i2i−2i000000-11-33−i−iii−3i3i3i−3i0000000000000000000000000000000000000
χ824-44-400-2-2-442222-2-210−4i4i000000-1-33-331-12-22-22i−2i2i−2i000000-113-3−i−iii3i−3i−3i3i0000000000000000000000000000000000000
χ834-4-444-44-2004-2-42-42-2000004-4-222-2-2222-200000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ844-4-444-44-2004-2-42-42-2000004-4-222-2-2222-20000000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ854-4-444-4-2400-242-42-4-200000-224-42-2-2222-20000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ864-4-444-4-2400-242-42-4-200000-224-42-2-2222-2000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ874-4-44-444-2004-2-42-42-200000-442-2222-2-22-200000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i2000000000
χ884-4-44-444-2004-2-42-42-200000-442-2222-2-22-20000000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i2000000000
χ894-4-44-44-2400-242-42-4-2000002-2-44222-2-22-20000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ904-4-44-44-2400-242-42-4-2000002-2-44222-2-22-2000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ9188-8-8008-400-848-4-84-4000000000-4000044000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-48004-8-484-8-4000000000-4000044000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40044-4-444200000000026-6-66-2-2000000000000000000000000000000000000000000000000000000000000000
χ9488-8-800-4-40044-4-44420000000002-666-6-2-2000000000000000000000000000000000000000000000000000000000000000
χ958-8-888-8-4-400-4-44444200000-44-44-222-2-2-22000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-88-4-400-4-444442000004-44-4-2-2-222-22000000000000000000000000000000000000000000000000000000000000000

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