Finite Group Databasebeta

← Group #11884788

Character table — Group #11884788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242422666641212121212121212242424242424244446688121224242424121212121244481212121212121224244412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1111-1-1-11111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1111-1-1-1-1-1-1-1-1111111-111111-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-111-1-1-111-111111-1-1-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-111-1-111-11-1-1-111-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111111-1-11111-111-1-1-1-11-1111-1-111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-11-1-11-1-1-1-1-11111111-11-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-11-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-11-1-1111-1-1-11-1-1-1-111-1-11111-1-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11-1-111-1-111-111-1-11111-1-1-1-111
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-111111-1-11111-1-11-1-111-1-1-1-1-1-11-111
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1111-11111-1-11111-11-1-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-20000002-200-22200-2-20000000000000-2000000002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2-2002-2-200-2-20000000000000200000000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-22200220000000000000-200000000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000-22002-2-2002200000000000002000000002-20000
χ2122222-12222-1-1-12-122-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-120002-1-100000000-1-1-1-1-12022-1-1-10000-1-100-1000
χ2222222-12222-1-1-12-122-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-1-2000-21100000000-1-1-1-1-1-20-2-2111000011001000
χ2322222-12222-1-1-12-122-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-111111120002-1-1000000001-1-111-202-2-1-1-1000011001000
χ2422222-12222-1-1-12-122-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-1111111-2000-211000000001-1-11120-221110000-1-100-1000
χ2522222-12222-1-1-12-1-2-2-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-120002-1-10000000011111-20-22-1110000-1-1001000
χ2622222-12222-1-1-12-1-2-2-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-2110000000011111202-21-1-100001100-1000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-111111120002-1-100000000-111-1-120-2-2-11100001100-1000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-1111111-2000-21100000000-111-1-1-20221-1-10000-1-1001000
χ292222-1222-1-1222-1-122-1-1-122-122-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-1022200022-1-1-1-1-1-12-1-1-1-10200000-1-1-1-100000000
χ302222-1222-1-1222-1-122-1-1-122-122-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2-2000-2-21111112-1-1-1-10-200000111100000000
χ312222-1222-1-1222-1-122-1-1-1-2-2-122-1111122-1-1-1-1-222-1-111-1-1-2-2111102-2-2000-2-2-1-11111-2-1-1110200000-1-11100000000
χ322222-1222-1-1222-1-122-1-1-1-2-2-122-11111-2-21111-222-1-111-1-1-2-211110-2220002211-1-1-1-1-2-1-1110-20000011-1-100000000
χ332222-1222-1-1222-1-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-102-2-200022-1-1-1-1-1-1-211110-200000111100000000
χ342222-1222-1-1222-1-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-10-222000-2-2111111-211110200000-1-1-1-100000000
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1111122-1-1-1-12-2-211-1-1-1-1-2-211110222000-2-2-1-11111211-1-10-20000011-1-100000000
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-11111-2-211112-2-211-1-1-1-1-2-211110-2-2-20002211-1-1-1-1211-1-10200000-1-11100000000
χ372-2-2222-22-2-2-2-22222-2-2-2200-22-22000000000002-22-200-22000000002-20002-20022-2-202-2000000000002-200000000
χ382-2-2222-22-2-2-2-22222-2-2-2200-22-22000000000002-22-200-2200000000-22000-2200-2-22202-200000000000-2200000000
χ392-2-2222-22-2-2-2-2222-22-2-2200-22-2200000000000-22-2200-22000000002-2000-2200-2-2220-22000000000002-200000000
χ402-2-2222-22-2-2-2-2222-22-2-2200-22-2200000000000-22-2200-2200000000-220002-20022-2-20-2200000000000-2200000000
χ412-2-22-12-2211-2-22-1-12-211-10012-2-1−i3−i3i3i300−i3−i3i3i302-2-11−i3i31-100−i3−i3i3i3002-20002-2−i3i3-1-1110-11−i3i30000000−i3i3-1100000000
χ422-2-22-12-2211-2-22-1-12-211-10012-2-1−i3−i3i3i300i3i3−i3−i302-2-11−i3i31-100−i3−i3i3i300-22000-22i3−i311-1-10-11−i3i30000000i3−i31-100000000
χ432-2-22-12-2211-2-22-1-12-211-10012-2-1i3i3−i3−i300−i3−i3i3i302-2-11i3−i31-100i3i3−i3−i300-22000-22−i3i311-1-10-11i3−i30000000−i3i31-100000000
χ442-2-22-12-2211-2-22-1-12-211-10012-2-1i3i3−i3−i300i3i3−i3−i302-2-11i3−i31-100i3i3−i3−i3002-20002-2i3−i3-1-1110-11i3−i30000000i3−i3-1100000000
χ452-2-22-12-2211-2-22-1-1-2211-10012-2-1−i3−i3i3i300−i3−i3i3i30-221-1i3−i31-100−i3−i3i3i300-220002-2−i3i3-1-11101-1i3−i30000000i3−i31-100000000
χ462-2-22-12-2211-2-22-1-1-2211-10012-2-1−i3−i3i3i300i3i3−i3−i30-221-1i3−i31-100−i3−i3i3i3002-2000-22i3−i311-1-101-1i3−i30000000−i3i3-1100000000
χ472-2-22-12-2211-2-22-1-1-2211-10012-2-1i3i3−i3−i300−i3−i3i3i30-221-1−i3i31-100i3i3−i3−i3002-2000-22−i3i311-1-101-1−i3i30000000i3−i3-1100000000
χ482-2-22-12-2211-2-22-1-1-2211-10012-2-1i3i3−i3−i300i3i3−i3−i30-221-1−i3i31-100i3i3−i3−i300-220002-2i3−i3-1-11101-1−i3i30000000−i3i31-100000000
χ4944444-2-4-444-2-2-24-200-2-2-200-422-400000000000000000220000004000-4-2-200000000000000000200000000000000
χ5044444-2-4-444-2-2-24-200-2-2-200-422-40000000000000000022000000-400042200000000000000000-200000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2002-4-42000044-2-2-2-20000000220000000-40000000220000000000000000000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2002-4-420000-4-42222000000022000000040000000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-444004-4-44-4-44004-4-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ5944-4-4-2400-22-44-42-200-222000000i6−i6i6−i64-4-22-2200000000000i6−i6i6−i600000000000i6−i6i6−i6000000000000000000000000
χ6044-4-4-2400-22-44-42-200-222000000i6−i6i6−i6-442-22-200000000000i6−i6i6−i600000000000−i6i6−i6i6000000000000000000000000
χ6144-4-4-2400-22-44-42-200-222000000−i6i6−i6i64-4-22-2200000000000−i6i6−i6i600000000000−i6i6−i6i6000000000000000000000000
χ6244-4-4-2400-22-44-42-200-222000000−i6i6−i6i6-442-22-200000000000−i6i6−i6i600000000000i6−i6i6−i6000000000000000000000000
χ634-44-44400-444-4-4-4400-44-422−22000022−22−222200000000000000022−2222−22−2222000000000000000000000000000000000000000
χ644-44-44400-444-4-4-4400-44-4−22220000−222222−22000000000000000−2222−222222−22000000000000000000000000000000000000000
χ654-44-44-200-44-222-4-2002-2222−22000022−22−2222000000000000000−22−222−200000−2i32i3000000000000000000000000i6−i6000000
χ664-44-44-200-44-222-4-2002-2222−22000022−22−2222000000000000000−22−222−2000002i3−2i3000000000000000000000000−i6i6000000
χ674-44-44-200-44-222-4-2002-22−22220000−222222−220000000000000002−22−2−2200000−2i32i3000000000000000000000000−i6i6000000
χ684-44-44-200-44-222-4-2002-22−22220000−222222−220000000000000002−22−2−22000002i3−2i3000000000000000000000000i6−i6000000
χ694-44-4-24002-24-4-42-2002-2222−220000−222−200−2i32i32i3−2i300000000022−22−222−200000000000−i6i6i6−i6000000000000000000000000
χ704-44-4-24002-24-4-42-2002-2222−220000−222−2002i3−2i3−2i32i300000000022−22−222−200000000000i6−i6−i6i6000000000000000000000000
χ714-44-4-24002-24-4-42-2002-22−222200002−2−2200−2i32i32i3−2i3000000000−22222−2−2200000000000i6−i6−i6i6000000000000000000000000
χ724-44-4-24002-24-4-42-2002-22−222200002−2−22002i3−2i3−2i32i3000000000−22222−2−2200000000000−i6i6i6−i6000000000000000000000000
χ734-4-44444-4-4-4-4-444400-4-44004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ744-4-444-24-4-4-422-24-20022-20042-2-400000000000000000-220000000000000000000000000000000−2i32i3000000000000
χ754-4-444-24-4-4-422-24-20022-20042-2-400000000000000000-2200000000000000000000000000000002i3−2i3000000000000
χ764-4-444-2-44-4-422-24-24-422-200-4-22400000000000-224-4002-20000000000000000000000-22000000000000000000000
χ774-4-444-2-44-4-422-24-2-4422-200-4-224000000000002-2-44002-200000000000000000000002-2000000000000000000000
χ784-4-44-244-422-4-44-2-20022-200-2-442000000−2i3−2i32i32i30000000-220000000000000002i3−2i30000000000000000000000000000
χ794-4-44-244-422-4-44-2-20022-200-2-4420000002i32i3−2i3−2i30000000-22000000000000000−2i32i30000000000000000000000000000
χ804-4-44-2-2-442222-2-214-4-1-11002-22-2−2i3−2i32i32i30000000-22-22−2i32i3-1100i3i3−i3−i300000000000000001-1i3−i30000000000000000000
χ814-4-44-2-2-442222-2-214-4-1-11002-22-22i32i3−2i3−2i30000000-22-222i3−2i3-1100−i3−i3i3i300000000000000001-1−i3i30000000000000000000
χ824-4-44-2-2-442222-2-21-44-1-11002-22-2−2i3−2i32i32i300000002-22-22i3−2i3-1100i3i3−i3−i30000000000000000-11−i3i30000000000000000000
χ834-4-44-2-2-442222-2-21-44-1-11002-22-22i32i3−2i3−2i300000002-22-2−2i32i3-1100−i3−i3i3i30000000000000000-11i3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-444-4442002-2-20000002i6−2i62i6−2i600000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ8788-8-8-4-400-444-4442002-2-2000000−2i62i6−2i62i600000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ888-88-8-4-4004-4-4444200-22-242−420000−222222−22000000000000000−22222−2−22000000000000000000000000000000000000000
χ898-88-8-4-4004-4-4444200-22-2−4242000022−22−222200000000000000022−22−222−2000000000000000000000000000000000000000
χ908-8-88-4-48-84444-4-4200-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000000

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