Finite Group Databasebeta

← Group #11792805

Character table — Group #11792805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222222233666666366666666666666666664466661212121212121212121212121212121224444444661212121212121212121212121212222224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-120022200-1-1-1-10000-1-1-1-10000000000
χ1022222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2001111000011110000000000
χ1122222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-21111111111112002-2-200-1-1-1-1000011110000000000
χ1222222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111-200-2220011110000-1-1-1-10000000000
χ132222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1022000220000-1-1-1-10000-1-1-1-1000000
χ142222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-2000-2-20000111100001111000000
χ152222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-211111111022000-2-20000-1-1-1-100001111000000
χ162222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-2111111110-2-200022000011110000-1-1-1-1000000
χ1722222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-2000000000000000000000000000000000000000000002-2
χ1822222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-22
χ192222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-2000000000000000002-200000000022-2-200000000000000
χ202222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-200000000000000000-22000000000-2-22200000000000000
χ212222-22-2-22-2-12-122-1-12-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−302-2000000000-1-111000033−3−3000000
χ222222-22-2-22-2-12-122-1-12-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−30-2200000000011-1-10000−3−333000000
χ232222-22-2-22-2-12-122-1-12-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−3333302-2000000000-1-1110000−3−333000000
χ242222-22-2-22-2-12-122-1-12-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−333330-2200000000011-1-1000033−3−3000000
χ252222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-2220000000000000000200-2000022-2-2000000000000000000
χ262222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-2220000000000000000-20020000-2-222000000000000000000
χ272222-2-22-2-222-12-1-122-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−3200-20000-1-111000033−3−30000000000
χ282222-2-22-2-222-12-1-122-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−3-2002000011-1-10000−3−3330000000000
χ292222-2-22-2-222-12-1-122-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−333200-20000-1-1110000−3−3330000000000
χ302222-2-22-2-222-12-1-122-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−333-2002000011-1-1000033−3−30000000000
χ312-2-22222-2-2-2222-2-2-2-22222-22222-22-2-222-2-2-2-2-2-2002-22-2000000000000000000002i−2i00000000002i−2i2i−2i0000000000
χ322-2-22222-2-2-2222-2-2-2-22222-22222-22-2-222-2-2-2-2-2-2002-22-200000000000000000000−2i2i0000000000−2i2i−2i2i0000000000
χ332-2-22222-2-2-22-1211-2-2-1-122-22-1-1-11-111-1-1-2111-2100-11-1100003−33−33−33−33−33−300002i−2i00−i3i3−i3i30000−ii−ii0000000000
χ342-2-22222-2-2-22-1211-2-2-1-122-22-1-1-11-111-1-1-2111-2100-11-1100003−33−33−33−33−33−30000−2i2i00i3−i3i3−i30000i−ii−i0000000000
χ352-2-22222-2-2-22-1211-2-2-1-122-22-1-1-11-111-1-1-2111-2100-11-110000−33−33−33−33−33−3300002i−2i00i3−i3i3−i30000−ii−ii0000000000
χ362-2-22222-2-2-22-1211-2-2-1-122-22-1-1-11-111-1-1-2111-2100-11-110000−33−33−33−33−33−330000−2i2i00−i3i3−i3i30000i−ii−i0000000000
χ372-2-222-2-2-222222-2-2-2-2222-22-22-2-222-2-222-2-2-2-22200-22-2200000000000000000000002-20000000000002-22-2000000
χ382-2-222-2-2-222222-2-2-2-2222-22-22-2-222-2-222-2-2-2-22200-22-220000000000000000000000-22000000000000-22-22000000
χ392-2-222-2-2-222-12-1-2-2112-1-11-112-2-22-111-1-11-211-12001-11-13−33−300003−3−33−333−30000002-200003−33−30000-11-11000000
χ402-2-222-2-2-222-12-1-2-2112-1-11-112-2-22-111-1-11-211-12001-11-13−33−300003−3−33−333−3000000-220000−33−3300001-11-1000000
χ412-2-222-2-2-222-12-1-2-2112-1-11-112-2-22-111-1-11-211-12001-11-1−33−330000−333−33−3−330000002-20000−33−330000-11-11000000
χ422-2-222-2-2-222-12-1-2-2112-1-11-112-2-22-111-1-11-211-12001-11-1−33−330000−333−33−3−33000000-2200003−33−300001-11-1000000
χ432-2-22-22-22-22222-2-2-2-222-22-2-2-22-222-2-2-2-222222-2002-2-22000000000000000000000000000000000000000022-2-200
χ442-2-22-22-22-22222-2-2-2-222-22-2-2-22-222-2-2-2-222222-2002-2-220000000000000000000000000000000000000000-2-22200
χ452-2-22-2-2222-2222-2-2-2-222-2-222-2-22-22-2-2-2-22222-222-2-222-22-2-222-2-222-2-222-2-22000000000000000000000000000000
χ462-2-22-2-2222-2222-2-2-2-222-2-222-2-22-22-2-2-2-22222-22-22-222-2-222-2-222-2-222-2-222-2000000000000000000000000000000
χ472-2-22-2-2222-22-1211-2-2-1-1-2-22211-11-111112-1-1-1-2-12-21-1-112-2-22-111-1-111-1-111-100000000−i3i3i3−i30000−i3i3i3−i30000000000
χ482-2-22-2-2222-22-1211-2-2-1-1-2-22211-11-111112-1-1-1-2-12-21-1-112-2-22-111-1-111-1-111-100000000i3−i3−i3i30000i3−i3−i3i30000000000
χ492-2-22-2-2222-22-1211-2-2-1-1-2-22211-11-111112-1-1-1-2-1-221-1-11-222-21-1-111-1-111-1-1100000000−i3i3i3−i30000i3−i3−i3i30000000000
χ502-2-22-2-2222-22-1211-2-2-1-1-2-22211-11-111112-1-1-1-2-1-221-1-11-222-21-1-111-1-111-1-1100000000i3−i3−i3i30000−i3i3i3−i30000000000
χ512-2-22-2-2222-2-12-1-2-2112-111-1-1-2-22-2-11111-12-1-1122-21-1-11-111-12-2-22-111-1-111-10000000000003−3−330000−333−3000000
χ522-2-22-2-2222-2-12-1-2-2112-111-1-1-2-22-2-11111-12-1-1122-21-1-11-111-12-2-22-111-1-111-1000000000000−333−300003−3−33000000
χ532-2-22-2-2222-2-12-1-2-2112-111-1-1-2-22-2-11111-12-1-112-221-1-111-1-11-222-21-1-111-1-110000000000003−3−3300003−3−33000000
χ542-2-22-2-2222-2-12-1-2-2112-111-1-1-2-22-2-11111-12-1-112-221-1-111-1-11-222-21-1-111-1-11000000000000−333−30000−333−3000000
χ554444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-4-44-24-2-244-2-24-4-4-4-2222-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-24-244-2-24-2-22224-4-4-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-10000000033-3-3-3-333000000000000000000000000000000
χ6044444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-100000000-3-33333-3-3000000000000000000000000000000
χ614444-44-4-44-44-24-2-244-2-2-444-42-222-2-2-222-4222-4-200-2-2220000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ644444-4-44-4-44-24-244-2-24-2222-2-4-444-2-2-2222-422-2-40022-2-20000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-11100002323−23−23−3−333−3−333000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000
χ6744-4-400000044-44-44-4-4400000000-44-40000000000000000000000000000000000000000000000000000002-22-200
χ6844-4-400000044-44-44-4-4400000000-44-4000000000000000000000000000000000000000000000000000000-22-2200
χ694-44-400000044-4-44-44-4400000000-4-440000000000000000000000000000000000000000000000000000002-2-2200
χ704-44-400000044-4-44-44-4400000000-4-44000000000000000000000000000000000000000000000000000000-222-200
χ714-4-44444-4-4-4-24-2-4-4224-2-2-22-2444-4-222-2-22-4222-400-22-220000000000000000000000000000000000000000000000
χ724-4-44444-4-4-4-2-2-22222-21-2-22-2-2-2-221-1-11122-1-122001-11-1000023−2323−23−33−33−33−33000000000000000000000000000000
χ734-4-44444-4-4-4-2-2-22222-21-2-22-2-2-2-221-1-11122-1-122001-11-10000−2323−23233−33−33−33−3000000000000000000000000000000
χ744-4-444-4-4-4444-2422-4-4-2-24-44-4-222-2-222-2-2-42224-2002-22-20000000000000000000000000000000000000000000000
χ754-4-444-4-4-444-2-2-22222-21-22-22-222-21-1-11122-1-1-2-200-11-1123−2323−230000−333−33−3−33000000000000000000000000000000
χ764-4-444-4-4-444-2-2-22222-21-22-22-222-21-1-11122-1-1-2-200-11-11−2323−232300003−3−33−333−3000000000000000000000000000000
χ774-4-44-44-44-444-2422-4-4-2-2-44-4-42-22-2-222224-2-2-24200-222-20000000000000000000000000000000000000000000000
χ784-4-44-44-44-44-24-2-4-4224-22-222-44-44-22222-24-2-2-2-400-222-20000000000000000000000000000000000000000000000
χ794-4-44-44-44-44-2-2-22222-212-2222-22-21-1-1-1-1-2-211-22001-1-11000000003-33-3-33-33000000000000000000000000000000
χ804-4-44-44-44-44-2-2-22222-212-2222-22-21-1-1-1-1-2-211-22001-1-1100000000-33-333-33-3000000000000000000000000000000
χ814-4-44-4-4444-4-2-2-22222-2122-2-222-221-1-1-1-1-2-2112-24-4-111-1-222-2-222-21-1-111-1-11000000000000000000000000000000
χ824-4-44-4-4444-4-2-2-22222-2122-2-222-221-1-1-1-1-2-2112-2-44-111-12-2-222-2-22-111-1-111-1000000000000000000000000000000
χ8388-8-80000008-4-8-448-84-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ8488-8-8000000-4848-8-44-8-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ8588-8-8000000-4-44-44-444200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-4-44-44-444200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000
χ878-88-80000008-4-84-4-884-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ888-88-8000000-484-884-4-8-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ898-88-8000000-4-444-44-44200000000-2-226-600-66000000000000000000000000000000000000000000000000000000
χ908-88-8000000-4-444-44-44200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000

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