Finite Group Databasebeta

← Group #11792800

Character table — Group #11792800

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222222222336666663666666666666666666624666666666666121212121212121224444444661212121212121212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1
χ922222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ1022222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ1122222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-21111112-2-220000-1-11111-1-100000000000000
χ1222222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-2111111-222-2000011-1-1-1-11100000000000000
χ132222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ142222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000011111111000000
χ152222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-21111000022-2-200000000-1-1-1-11111000000
χ162222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-211110000-2-222000000001111-1-1-1-1000000
χ1722222-2-22-2-22222222222-2-2-222-2-2-2-222-2-2-2-222-200000022-2-200000000000002-2000000022-2-20000000000000000
χ1822222-2-22-2-22222222222-2-2-222-2-2-2-222-2-2-2-222-200000022-2-20000000000000-220000000-2-2220000000000000000
χ1922222-2-22-2-22-1222-1-1-1-12-2-2-2-1-11111-1-11111-12-20000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i302-200000−i3i3-1-111−i3i300000000000000
χ2022222-2-22-2-22-1222-1-1-1-12-2-2-2-1-11111-1-11111-12-20000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i30-2200000i3−i311-1-1i3−i300000000000000
χ2122222-2-22-2-22-1222-1-1-1-12-2-2-2-1-11111-1-11111-12-20000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i302-200000i3−i3-1-111i3−i300000000000000
χ2222222-2-22-2-22-1222-1-1-1-12-2-2-2-1-11111-1-11111-12-20000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i30-2200000−i3i311-1-1−i3i300000000000000
χ232222-22-2-22-2222222222-22-2-2-2-222-2-222-2-2-2-22-22000000-2-222000000000000200-20000220000-2-200000000000000
χ242222-22-2-22-2222222222-22-2-2-2-222-2-222-2-2-2-22-22000000-2-222000000000000-20020000-2-200002200000000000000
χ252222-22-2-22-22-1222-1-1-1-1-22-2-211-1-111-1-11111-1-220000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i3200-20000-1-1−i3i3−i3i31100000000000000
χ262222-22-2-22-22-1222-1-1-1-1-22-2-211-1-111-1-11111-1-220000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i3-2002000011i3−i3i3−i3-1-100000000000000
χ272222-22-2-22-22-1222-1-1-1-1-22-2-211-1-111-1-11111-1-220000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i3200-20000-1-1i3−i3i3−i31100000000000000
χ282222-22-2-22-22-1222-1-1-1-1-22-2-211-1-111-1-11111-1-220000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i3-2002000011−i3i3−i3i3-1-100000000000000
χ292222-2-22-2-22222222222-2-222-2-2-2-2222222222-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000
χ302222-2-22-2-22222222222-2-222-2-2-2-2222222222-2-2-22-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000
χ312222-2-22-2-222-1222-1-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-211111100000000−i3i3−i3i3i3−i3i3−i300000000000000
χ322222-2-22-2-222-1222-1-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-211111100000000i3−i3i3−i3−i3i3−i3i300000000000000
χ332222-2-22-2-222-1222-1-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-100000000−i3i3i3−i3−i3i3i3−i300000000000000
χ342222-2-22-2-222-1222-1-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-100000000i3−i3−i3i3i3−i3−i3i300000000000000
χ352222-2-22-2-22-12-1-1-1222-111-1-1-2-2-2-222-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-21111000000000000000033−3−333−3−3000000
χ362222-2-22-2-22-12-1-1-1222-111-1-1-2-2-2-222-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-211110000000000000000−3−333−3−333000000
χ372222-2-22-2-22-12-1-1-1222-111-1-1-2-2-2-222-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-1000000000000000033−3−3−3−333000000
χ382222-2-22-2-22-12-1-1-1222-111-1-1-2-2-2-222-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-10000000000000000−3−33333−3−3000000
χ392-2-22222-2-2-222-2-22-2-222222-22-22-22-2-2-222-2-22-2-20000002-22-20000000000000000002i−2i0000000000002i−2i2i−2i000000
χ402-2-22222-2-2-222-2-22-2-222222-22-22-22-2-2-222-2-22-2-20000002-22-2000000000000000000−2i2i000000000000−2i2i−2i2i000000
χ412-2-22222-2-2-2-1211-1-2-22-1-1-1-112-22-22-211-1-111-11100−i3i300-11-11−i3i3−i3i3−i3i300−i3i3−i3i30000002i−2i000000003−33−3−ii−ii000000
χ422-2-22222-2-2-2-1211-1-2-22-1-1-1-112-22-22-211-1-111-11100−i3i300-11-11−i3i3−i3i3−i3i300−i3i3−i3i3000000−2i2i00000000−33−33i−ii−i000000
χ432-2-22222-2-2-2-1211-1-2-22-1-1-1-112-22-22-211-1-111-11100i3−i300-11-11i3−i3i3−i3i3−i300i3−i3i3−i30000002i−2i00000000−33−33−ii−ii000000
χ442-2-22222-2-2-2-1211-1-2-22-1-1-1-112-22-22-211-1-111-11100i3−i300-11-11i3−i3i3−i3i3−i300i3−i3i3−i3000000−2i2i000000003−33−3i−ii−i000000
χ452-2-222-2-2-22222-2-22-2-2222-2-222-2-22-22-2-2-2-2222-220000002-2-2200000000000000000000000000000000000022-2-200
χ462-2-222-2-2-22222-2-22-2-2222-2-222-2-22-22-2-2-2-2222-220000002-2-22000000000000000000000000000000000000-2-22200
χ472-2-22-22-22-2222-2-22-2-222-22-22-222-2-22-2-2-2-22222-2000000-222-200000000000000000000000000000000000000002-2
χ482-2-22-22-22-2222-2-22-2-222-22-22-222-2-22-2-2-2-22222-2000000-222-20000000000000000000000000000000000000000-22
χ492-2-22-2-2222-222-2-22-2-222-2-22-2-22-222-2-2-222-2-2222000000-22-2200000000000000002-200000000002-2-220000000000
χ502-2-22-2-2222-222-2-22-2-222-2-22-2-22-222-2-2-222-2-2222000000-22-220000000000000000-220000000000-222-20000000000
χ512-2-22-2-2222-2-1211-1-2-22-111-11-22-222-211-1-111-1-1-100−i3i3001-11-1−i3i3−i3i3i3−i300i3−i3i3−i300002-20000000000-111-1−i3i3i3−i3000000
χ522-2-22-2-2222-2-1211-1-2-22-111-11-22-222-211-1-111-1-1-100−i3i3001-11-1−i3i3−i3i3i3−i300i3−i3i3−i30000-2200000000001-1-11i3−i3−i3i3000000
χ532-2-22-2-2222-2-1211-1-2-22-111-11-22-222-211-1-111-1-1-100i3−i3001-11-1i3−i3i3−i3−i3i300−i3i3−i3i300002-20000000000-111-1i3−i3−i3i3000000
χ542-2-22-2-2222-2-1211-1-2-22-111-11-22-222-211-1-111-1-1-100i3−i3001-11-1i3−i3i3−i3−i3i300−i3i3−i3i30000-2200000000001-1-11−i3i3i3−i3000000
χ554444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-244-2-2-2-211111111-2-2-2-21111000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-2-4-422221111-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ5744444-4-44-4-4-24-2-2-2444-2-222244-4-4-4-4-2-22222-2-22000000-2-222000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-21-2222-2-2222211-1-1-1-11-220000−2i32i311-1-1i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-21-2222-2-2222211-1-1-1-11-2200002i3−2i311-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ604444-44-4-44-4-24-2-2-2444-22-222-4-444-4-4-2-22222-22-200000022-2-2000000000000000000000000000000000000000000
χ614444-44-4-44-4-2-2-2-2-2-2-2-212-22222-2-22211-1-1-1-112-20000−2i32i3-1-111i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-2-2-212-22222-2-22211-1-1-1-112-200002i3−2i3-1-111−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ634444-4-44-4-44-2-2-2-2-2-2-2-2122-2-22222-2-21111111224-4-2-2-2-2-1-1-1-111112222-1-1-1-1000000000000000000000000000000
χ644444-4-44-4-44-2-2-2-2-2-2-2-2122-2-22222-2-2111111122-442222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ6544-4-4000000444-4-44-4-4400000000004-40000-40000000000000000000000000000000000000000000000002-22-200
χ6644-4-4000000444-4-44-4-4400000000004-40000-4000000000000000000000000000000000000000000000000-22-2200
χ674-44-400000044-44-4-44-440000000000-440000-40000000000000000000000000000000000000000000000002-2-2200
χ684-44-400000044-44-4-44-440000000000-440000-4000000000000000000000000000000000000000000000000-222-200
χ694-4-44444-4-4-44-2-4-4422-2-2444-4-22-22-2222-2-222-2-4-4000000-22-22000000000000000000000000000000000000000000
χ704-4-44444-4-4-4-2-222-222-21-2-2-22-22-22-22-1-111-1-112200−2i32i3001-11-1i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ714-4-44444-4-4-4-2-222-222-21-2-2-22-22-22-22-1-111-1-1122002i3−2i3001-11-1−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ724-4-444-4-4-4444-2-4-4422-2-24-4-44-222-22-22222-2-2-2-44000000-222-2000000000000000000000000000000000000000000
χ734-4-444-4-4-444-2422-2-4-44-2-222-24-4-44-442222-2-2-22-2000000-222-2000000000000000000000000000000000000000000
χ744-4-444-4-4-444-2-222-222-21-222-2-222-22-2-1-1-1-11112-20000001-1-113-3-3300003-3-33000000000000000000000000000000
χ754-4-444-4-4-444-2-222-222-21-222-2-222-22-2-1-1-1-11112-20000001-1-11-333-30000-333-3000000000000000000000000000000
χ764-4-44-44-44-444-2-4-4422-2-2-44-442-2-222-22222-2-2-24-40000002-2-22000000000000000000000000000000000000000000
χ774-4-44-44-44-44-2422-2-4-44-22-22-2-444-4-442222-2-2-2-220000002-2-22000000000000000000000000000000000000000000
χ784-4-44-44-44-44-2-222-222-212-22-22-2-222-2-1-1-1-1111-22000000-111-13-3-330000-333-3000000000000000000000000000000
χ794-4-44-44-44-44-2-222-222-212-22-22-2-222-2-1-1-1-1111-22000000-111-1-333-300003-3-33000000000000000000000000000000
χ804-4-44-4-4444-44-2-4-4422-2-2-4-44-42-22-2-2222-2-222-2440000002-22-2000000000000000000000000000000000000000000
χ814-4-44-4-4444-4-2-222-222-2122-222-22-2-22-1-111-1-11-2-200−2i32i300-11-11i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ824-4-44-4-4444-4-2-222-222-2122-222-22-2-22-1-111-1-11-2-2002i3−2i300-11-11−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ8388-8-80000008-48-8-8-444-40000000000-4400004000000000000000000000000000000000000000000000000000000
χ8488-8-8000000-48-4448-8-8-40000000000-4400004000000000000000000000000000000000000000000000000000000
χ8588-8-8000000-4-4-444-444200000000002-26-66-6-2000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-4-4-444-444200000000002-2-66-66-2000000000000000000000000000000000000000000000000000000
χ878-88-80000008-4-88-84-44-400000000004-400004000000000000000000000000000000000000000000000000000000
χ888-88-8000000-484-44-88-8-400000000004-400004000000000000000000000000000000000000000000000000000000
χ898-88-8000000-4-44-444-4420000000000-226-6-66-2000000000000000000000000000000000000000000000000000000
χ908-88-8000000-4-44-444-4420000000000-22-666-6-2000000000000000000000000000000000000000000000000000000

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