Finite Group Databasebeta

← Group #11868500

Character table — Group #11868500

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212122222888888884444444424242424242424244444412121212
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
χ511111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ611111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ711111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-111-11-11
χ811111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1111111-1111-11-1
χ9111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-111-1-1
χ10111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-111
χ11111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-111-1-11111-1-11
χ12111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1-1111-111-1
χ13111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111
χ14111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-11111-1-1
χ15111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-111-1
χ16111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-20000000022220000000022-2-200000000000000-2000000
χ1822222222-2-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-200000000-2-2-2-200000000-2-222000000000000002000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-22200000000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-22200000000-2-2-2-200000000222200000000000000-2000000
χ2122222-122222-12-12-1-122222-1-1-12-122-1-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ2222222-122222-12-12-1-122222-1-1-12-122-1-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ2322222-122222-12-12-1-1-2-22-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-11111111100000000222200000-20-20000-1-1-1-1000000101
χ2422222-122222-12-12-1-1-2-22-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-11111111100000000-2-2-2-20000020200001111000000-10-1
χ2522222-1-2-2222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-111110000000022-2-20000020-20000-1-111000000-101
χ2622222-1-2-2222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-1111100000000-2-22200000-202000011-1-100000010-1
χ2722222-1-2-2222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-10000000022-2-200000-2020000-1-11100000010-1
χ2822222-1-2-2222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-100000000-2-2220000020-2000011-1-1000000-101
χ292222-122222-12-12-12-122222-1-1-1-12-1-122-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ302222-122222-12-12-12-122222-1-1-1-12-1-122-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ312222-122222-12-12-12-1-2-22-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-2-1211-2-2-1-1-1-1111111110000222200000000-20-20-1-1-1-10000000001010
χ322222-122222-12-12-12-1-2-22-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-2-1211-2-2-1-1-1-1111111110000-2-2-2-20000000020201111000000000-10-10
χ332222-12-2-222-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-11111000022-2-20000000020-20-1-111000000000-1010
χ342222-12-2-222-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-111110000-2-22200000000-202011-1-100000000010-10
χ352222-12-2-222-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2020-1-11100000000010-10
χ362222-12-2-222-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-10000-2-2220000000020-2011-1-1000000000-1010
χ372-22-222002-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-2000022-2-200000000002-20000000000002-20000000
χ382-22-222002-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-20000-2-2220000000000-22000000000000-220000000
χ392-22-222002-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-222000022-2-200000000002-2000000000000-220000000
χ402-22-222002-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-2220000-2-2220000000000-220000000000002-20000000
χ412-22-22200-2222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i22-2-20000000000-220000000000000002i−2i0000
χ422-22-22200-2222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i-2-22200000000002-2000000000000000−2i2i0000
χ432-22-22200-2222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i22-2-20000000000-22000000000000000−2i2i0000
χ442-22-22200-2222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i-2-22200000000002-20000000000000002i−2i0000
χ452-2-22222i−2i00-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i0000000000000000000000002-22-22−2i2−i22−2i2−i22i−2i0000002−2i2−i22−2i2−i2000000000
χ462-2-22222i−2i00-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i0000000000000000000000002-22-2−22−i2i2−22−i2i22i−2i000000−22−i2i2−22−i2i2000000000
χ472-2-22222i−2i00-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i000000000000000000000000-22-222−2i2−i2−22−i2i2−2i2i0000002−2i2−i2−22−i2i2000000000
χ482-2-22222i−2i00-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i000000000000000000000000-22-22−22−i2i22−2i2−i2−2i2i000000−22−i2i22−2i2−i2000000000
χ492-2-2222−2i2i00-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i0000000000000000000000002-22-22−2−i2i22−2−i2i2−2i2i0000002−2−i2i22−2−i2i2000000000
χ502-2-2222−2i2i00-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i0000000000000000000000002-22-2−22i2−i2−22i2−i2−2i2i000000−22i2−i2−22i2−i2000000000
χ512-2-2222−2i2i00-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i000000000000000000000000-22-222−2−i2i2−22i2−i22i−2i0000002−2−i2i2−22i2−i2000000000
χ522-2-2222−2i2i00-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i000000000000000000000000-22-22−22i2−i22−2−i2i22i−2i000000−22i2−i22−2−i2i2000000000
χ5344444-244-4-44-24-24-2-200-400-2-2-2-4244-2-2-2-2-2-2-420000-4200002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-200400-2-2-2-42-4-4222222-4200004-2000022-2-2000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-24-24-200-400-2-2-22-4-2-244-2-2-2-22-400002-400002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-24-24-200400-2-2-22-422-4-422222-40000-24000022-2-2000000000000000000000000000000000000000000000
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
χ584444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-21111-2-22222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2144-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4-4-444111-2-22222-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-4440000-4-444-4-44000004-4-400000000000000000000000000000000004-4-44000000000000000000000000000000000
χ6644-4-4440000-4-444-4-44000004-4-40000000000000000000000000000000000-444-4000000000000000000000000000000000
χ674-44-44-2004-44-2-42-42-24-40002-224-200000000-424-4-22000000-2200-2-22200000000000000000000000000000000000000000
χ684-44-44-2004-44-2-42-42-2-440002-224-200000000-42-442-2000000-220022-2-200000000000000000000000000000000000000000
χ694-44-44-200-444-2-42-42-20004i−4i2-22-42000000004-20000004i−4i−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ704-44-44-200-444-2-42-42-2000−4i4i2-22-42000000004-2000000−4i4i2i−2i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ714-44-4-24004-4-242-42-4-24-40002-22-24000000002-4-224-4000000-2200-2-22200000000000000000000000000000000000000000
χ724-44-4-24004-4-242-42-4-2-440002-22-24000000002-42-2-44000000-220022-2-200000000000000000000000000000000000000000
χ734-44-4-2400-44-242-42-4-20004i−4i2-222-400000000-24000000−2i2i4i−4i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ744-44-4-2400-44-242-42-4-2000−4i4i2-222-400000000-240000002i−2i−4i4i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ754-44-4-2-2004-4-2-2222214-4000-11-1-2-200003i−3i3i−3i22-22-220000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000000000000
χ764-44-4-2-2004-4-2-2222214-4000-11-1-2-20000−3i3i−3i3i22-22-220000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000000000000
χ774-44-4-2-2004-4-2-222221-44000-11-1-2-200003i−3i3i−3i222-22-20000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000000000000
χ784-44-4-2-2004-4-2-222221-44000-11-1-2-20000−3i3i−3i3i222-22-20000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000000000000
χ794-44-4-2-200-44-2-2222210004i−4i-11-12200003i−3i3i−3i-2-2000000−2i2i−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000000000000
χ804-44-4-2-200-44-2-2222210004i−4i-11-1220000−3i3i−3i3i-2-2000000−2i2i−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000000000000
χ814-44-4-2-200-44-2-222221000−4i4i-11-12200003i−3i3i−3i-2-20000002i−2i2i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000000000000
χ824-44-4-2-200-44-2-222221000−4i4i-11-1220000−3i3i−3i3i-2-20000002i−2i2i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000000000000
χ834-4-444-24i−4i00-42-424-2-20000022-2004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ844-4-444-24i−4i00-42-424-2-20000022-2004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ854-4-444-2−4i4i00-42-424-2-20000022-200−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ864-4-444-2−4i4i00-42-424-2-20000022-200−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ874-4-44-244i−4i002-42-4-24-20000022-200−2i2i4i−4i−2i−2i2i2i000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ884-4-44-244i−4i002-42-4-24-20000022-200−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ894-4-44-24−4i4i002-42-4-24-20000022-2002i−2i−4i4i2i2i−2i−2i000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ904-4-44-24−4i4i002-42-4-24-20000022-2002i−2i−4i4i2i2i−2i−2i0000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ9188-8-88-40000-848-4-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4800004-8-484-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4000044-4-4442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4000044-4-4442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48i−8i004444-4-4200000-2-2200−4i4i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4−8i8i004444-4-4200000-2-22004i−4i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000

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