Finite Group Databasebeta

← Group #11868623

Character table — Group #11868623

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212124444888888882244444424242424242424242244412121212
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
χ91111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-111-1-1-1-111-1
χ101111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-111-1-1-111-1-11111-1-1-11-1-11
χ111111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-111
χ121111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111111-1-1
χ131111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-111-1-1-111-111-1-111-1-1-1-1-1111-1-11
χ141111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-11111-1-11-1-11-1-111-1-111-1-1-111-111-1
χ151111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111111-1-111-1-1
χ161111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-111
χ17222222-222-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-200000000222200000000-2-22200000000000000-2000000
χ18222222-222-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-200000000-2-2-2-20000000022-2-2000000000000002000000
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
χ2522222-12-2-222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-111110000000022-2-200000-2020000-1-111000000-101
χ2622222-12-2-222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-1111100000000-2-2220000020-2000011-1-100000010-1
χ2722222-12-2-222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-10000000022-2-20000020-20000-1-11100000010-1
χ2822222-12-2-222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-100000000-2-22200000-202000011-1-1000000-101
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
χ332222-122-2-22-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-11111000022-2-20000000020-20-1-11100000000010-10
χ342222-122-2-22-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-111110000-2-22200000000-202011-1-1000000000-1010
χ352222-122-2-22-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2020-1-111000000000-1010
χ362222-122-2-22-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-10000-2-2220000000020-2011-1-100000000010-10
χ3722-2-222200-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-2000022-2-2000000002-2000000000000002-20000000
χ3822-2-222200-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-20000-2-22200000000-2200000000000000-220000000
χ3922-2-222200-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-222000022-2-2000000002-200000000000000-220000000
χ4022-2-222200-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-2220000-2-22200000000-22000000000000002-20000000
χ4122-2-222-200222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i22-2-200000000-22000000000000000002i−2i0000
χ4222-2-222-200222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i-2-222000000002-200000000000000000−2i2i0000
χ4322-2-222-200222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i22-2-200000000-2200000000000000000−2i2i0000
χ4422-2-222-200222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i-2-222000000002-2000000000000000002i−2i0000
χ452-22-22202i−2i0-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2ii2−i22−22−2i2−i2002-20000i2−i22−22−2i2−i2000000000
χ462-22-22202i−2i0-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i−i2i2−22−22−i2i2002-20000−i2i2−22−22−i2i2000000000
χ472-22-22202i−2i0-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2ii2−i22−2−22−i2i200-220000i2−i22−2−22−i2i2000000000
χ482-22-22202i−2i0-2-2-2-222200000-2-22002i−2i2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i−i2i2−222−2i2−i200-220000−i2i2−222−2i2−i2000000000
χ492-22-2220−2i2i0-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2ii2−i2−222−2−i2i200-220000i2−i2−222−2−i2i2000000000
χ502-22-2220−2i2i0-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i−i2i22−2−22i2−i200-220000−i2i22−2−22i2−i2000000000
χ512-22-2220−2i2i0-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2ii2−i2−22−22i2−i2002-20000i2−i2−22−22i2−i2000000000
χ522-22-2220−2i2i0-2-2-2-222200000-2-2200−2i2i−2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i−i2i22−22−2−i2i2002-20000−i2i22−22−2−i2i2000000000
χ5344444-2-444-44-24-24-2-200-400-2-2-2-4244-2-2-2-2-2-2-420000-4200002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-200400-2-2-2-42-4-4222222-4200004-2000022-2-2000000000000000000000000000000000000000000000
χ554444-24-444-4-24-24-24-200-400-2-2-22-4-2-244-2-2-2-22-400002-400002222000000000000000000000000000000000000000000000
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
χ594444-2-24-4-44-2-2-2-2-2-2144-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4-4-444111-2-22222-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
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
χ6544-4-44-2400-44-2-42-42-24-40002-224-200000000-424-4-22000000-2200-2-22200000000000000000000000000000000000000000
χ6644-4-44-2400-44-2-42-42-2-440002-224-200000000-42-442-2000000-220022-2-200000000000000000000000000000000000000000
χ6744-4-44-2-40044-2-42-42-20004i−4i2-22-42000000004-20000004i−4i−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ6844-4-44-2-40044-2-42-42-2000−4i4i2-22-42000000004-2000000−4i4i2i−2i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ6944-4-4-24400-4-242-42-4-24-40002-22-24000000002-4-224-4000000-2200-2-22200000000000000000000000000000000000000000
χ7044-4-4-24400-4-242-42-4-2-440002-22-24000000002-42-2-44000000-220022-2-200000000000000000000000000000000000000000
χ7144-4-4-24-4004-242-42-4-20004i−4i2-222-400000000-24000000−2i2i4i−4i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ7244-4-4-24-4004-242-42-4-2000−4i4i2-222-400000000-240000002i−2i−4i4i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ7344-4-4-2-2400-4-2-2222214-4000-11-1-2-200003i−3i3i−3i22-22-220000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000000000000
χ7444-4-4-2-2400-4-2-2222214-4000-11-1-2-20000−3i3i−3i3i22-22-220000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000000000000
χ7544-4-4-2-2400-4-2-222221-44000-11-1-2-200003i−3i3i−3i222-22-20000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000000000000
χ7644-4-4-2-2400-4-2-222221-44000-11-1-2-20000−3i3i−3i3i222-22-20000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000000000000
χ7744-4-4-2-2-4004-2-2222210004i−4i-11-12200003i−3i3i−3i-2-2000000−2i2i−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000000000000
χ7844-4-4-2-2-4004-2-2222210004i−4i-11-1220000−3i3i−3i3i-2-2000000−2i2i−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000000000000
χ7944-4-4-2-2-4004-2-222221000−4i4i-11-12200003i−3i3i−3i-2-20000002i−2i2i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000000000000
χ8044-4-4-2-2-4004-2-222221000−4i4i-11-1220000−3i3i−3i3i-2-20000002i−2i2i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000000000000
χ814-44-44-204i−4i0-42-424-2-20000022-2004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ824-44-44-204i−4i0-42-424-2-20000022-2004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ834-44-44-20−4i4i0-42-424-2-20000022-200−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ844-44-44-20−4i4i0-42-424-2-20000022-200−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ854-44-4-2404i−4i02-42-4-24-20000022-200−2i2i4i−4i−2i−2i2i2i00000000000000000000000000002i2−2i222−22000000000000−i2i2−220000000000000
χ864-44-4-2404i−4i02-42-4-24-20000022-200−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000−2i22i2−2222000000000000i2−i22−20000000000000
χ874-44-4-240−4i4i02-42-4-24-20000022-2002i−2i−4i4i2i2i−2i−2i00000000000000000000000000002i2−2i2−2222000000000000−i2i22−20000000000000
χ884-44-4-240−4i4i02-42-4-24-20000022-2002i−2i−4i4i2i2i−2i−2i0000000000000000000000000000−2i22i222−22000000000000i2−i2−220000000000000
χ894-4-44440000-4-444-4-44000004-4-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-44440000-4-444-4-44000004-4-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ918-88-8-4-408i−8i04444-4-4200000-2-2200−4i4i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40−8i8i04444-4-4200000-2-22004i−4i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000-848-4-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-8-484-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-4-4442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000044-4-4442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000000000

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