Finite Group Databasebeta

← Group #13156016

Character table — Group #13156016

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444444888888888888881212181824242424242424242424242424242424242424242424242424243636363636363636363636363636363636108108
order1222333446666666663336666666661212121212123666121212121212121212124444441212121212121212121212121212121212121212121212124888812121212242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111-1-11-111111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ711111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-111
χ92222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2002200000000000000000000000000-2000022-2-20000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200-2-20000000000000000000000000020000-2-2220000000000
χ11222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1002222000022-1-122-1-10000-1-1-1-1-1-1-1-120000-1-1-1-10000000000
χ12222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-10022-2-20000-2-211-2-21100001111111120000-1-1-1-10000000000
χ13222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100-2-22-2000022-1-1-2-2110000-1-1-1-11111-2000011110000000000
χ14222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100-2-2-220000-2-21122-1-100001111-1-1-1-1-2000011110000000000
χ15222222-1-2-22222-1-122-12-1-122-1-1-1-12-1-1-2-211-2-2-1-1-1-1-2-211111111002200000000−i3i300−i3i30000−i3−i3i3i3−i3−i3i3i3-20000-1-1110000000000
χ16222222-1-2-22222-1-122-12-1-122-1-1-1-12-1-1-2-211-2-2-1-1-1-1-2-211111111002200000000i3−i300i3−i30000i3i3−i3−i3i3i3−i3−i3-20000-1-1110000000000
χ17222222-1-2-22222-1-122-12-1-122-1-1-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100-2-200000000−i3i300i3−i30000−i3−i3i3i3i3i3−i3−i32000011-1-10000000000
χ18222222-1-2-22222-1-122-12-1-122-1-1-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100-2-200000000i3−i300−i3i30000i3i3−i3−i3−i3−i3i3i32000011-1-10000000000
χ1922222-122222-1-1222-12-12-1-1-122-1-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-122000222-1-10000-1-122-1-1-1-10000-1-1-1-10002200000000-1-1-1-100
χ2022222-122222-1-1222-12-12-1-1-122-1-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-122000-222-1-1000011-2-2-1-1-1-100001111000-2-200000000111100
χ2122222-122222-1-1222-12-12-1-1-122-1-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20002-2-2110000-1-12211110000-1-1-1-1000-2-200000000111100
χ2222222-122222-1-1222-12-12-1-1-122-1-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2000-2-2-211000011-2-21111000011110002200000000-1-1-1-100
χ232222-12222-1-12222-122-1-12-1-1-1-122-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1220020-1-122-1-1220000-1-1-1-1-1-1-1-10000022000000-1-1-1-1000000
χ242222-12222-1-12222-122-1-12-1-1-1-122-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-12200-20-1-12211-2-20000-1-1-1-1111100000-2-20000001111000000
χ252222-12222-1-12222-122-1-12-1-1-1-122-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2002011-2-2-1-12200001111-1-1-1-100000-2-20000001111000000
χ262222-12222-1-12222-122-1-12-1-1-1-122-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2011-2-211-2-20000111111110000022000000-1-1-1-1000000
χ2722-2-2222002-22-22-2-2-2-22222-22-22-2-2-2-200000022-2-20000000000002-20000000000000000000000000002−22−22-20022−2−222−2−200
χ2822-2-2222002-22-22-2-2-2-22222-22-22-2-2-2-200000022-2-20000000000002-2000000000000000000000000000−22−222-200−2−222−2−22200
χ2922-2-2222002-22-22-2-2-2-22222-22-22-2-2-2-200000022-2-2000000000000-220000000000000000000000000002−2−22-220022−2−2−2−22200
χ3022-2-2222002-22-22-2-2-2-22222-22-22-2-2-2-200000022-2-2000000000000-22000000000000000000000000000−222−2-2200−2−22222−2−200
χ312-22-22222-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-22-2-222-22-22-222-2-2000000000000000000000000000000000000000000000002i−2i
χ322-22-22222-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-22-2-222-22-22-222-2-200000000000000000000000000000000000000000000000−2i2i
χ332-22-2222-22-2-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-22222-2-22-22-22-22-2-2222-200002-22-20000000022-2-2000000000000000000000000000
χ342-22-2222-22-2-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-22222-2-22-22-22-22-2-222-220000-22-2200000000-2-222000000000000000000000000000
χ352-22-22-12-22-2-211-2-22-12-12-111-2-211-12-1-21-222-1-111-11-1-221-111-1-12-200002-2-110000−i3i300-1-1110000−i3i3−i3i30000000000000−i3i3−i3i300
χ362-22-22-12-22-2-211-2-22-12-12-111-2-211-12-1-21-222-1-111-11-1-221-111-1-12-200002-2-110000i3−i300-1-1110000i3−i3i3−i30000000000000i3−i3i3−i300
χ372-22-22-12-22-2-211-2-22-12-12-111-2-211-12-1-21-222-1-111-11-1-221-111-1-1-220000-221-10000−i3i30011-1-10000−i3i3−i3i30000000000000i3−i3i3−i300
χ382-22-22-12-22-2-211-2-22-12-12-111-2-211-12-1-21-222-1-111-11-1-221-111-1-1-220000-221-10000i3−i30011-1-10000i3−i3i3−i30000000000000−i3i3−i3i300
χ392-22-2-122-2211-2-2-2-2-122-1-121111-2-2-1-121-2-22-12-111-11-11-1-2211-1-12-20000-112-2−i3i3000000-1-111−i3i3−i3i30000000000000−i3i3−i3i3000000
χ402-22-2-122-2211-2-2-2-2-122-1-121111-2-2-1-121-2-22-12-111-11-11-1-2211-1-12-20000-112-2i3−i3000000-1-111i3−i3i3−i30000000000000i3−i3i3−i3000000
χ412-22-2-122-2211-2-2-2-2-122-1-121111-2-2-1-121-2-22-12-111-11-11-1-2211-1-1-2200001-1-22−i3i300000011-1-1−i3i3−i3i30000000000000i3−i3i3−i3000000
χ422-22-2-122-2211-2-2-2-2-122-1-121111-2-2-1-121-2-22-12-111-11-11-1-2211-1-1-2200001-1-22i3−i300000011-1-1i3−i3i3−i30000000000000−i3i3−i3i3000000
χ4344444-24-4-444-2-2444-24-24-2-2-244-2-2-24-2-42-4-4-42-2-2-2-222-4-42222220000000000000000000000000000000000000000000000000
χ4444444-2-24444-2-2-2-24-2-2-2-21-2-2-2-211-2-214-2-2-24-21111-2-2-2-211111100000400000000-2-2-2-20000000011110000000000000000000
χ4544444-2-24444-2-2-2-24-2-2-2-21-2-2-2-211-2-214-2-2-24-21111-2-2-2-211111100000-400000000222200000000-1-1-1-10000000000000000000
χ4644444-2-2-4-444-2-2-2-24-2-2-2-21-2-2-2-211-2-21-4222-4211112222-1-1-1-1-1-10000000000000000−2i32i300000000i3i3−i3−i30000000000000000000
χ4744444-2-2-4-444-2-2-2-24-2-2-2-21-2-2-2-211-2-21-4222-4211112222-1-1-1-1-1-100000000000000002i3−2i300000000−i3−i3i3i30000000000000000000
χ484444-244-4-4-2-24444-244-2-24-2-2-2-244-2-242-4-4-42-4-2-2-2-22222-4-422220000000000000000000000000000000000000000000000000
χ494444-24-244-2-244-2-2-24-2-21-2-2-211-2-2-21-2-24-2-2-241111-2-211-2-211110000400000-2-2-2-200000000111100000000000000000000000
χ504444-24-244-2-244-2-2-24-2-21-2-2-211-2-2-21-2-24-2-2-241111-2-211-2-211110000-400000222200000000-1-1-1-100000000000000000000000
χ514444-24-2-4-4-2-244-2-2-24-2-21-2-2-211-2-2-21-22-4222-4111122-1-122-1-1-1-1000000000000−2i32i300000000i3i3−i3−i300000000000000000000000
χ524444-24-2-4-4-2-244-2-2-24-2-21-2-2-211-2-2-21-22-4222-4111122-1-122-1-1-1-10000000000002i3−2i300000000−i3−i3i3i300000000000000000000000
χ534444-2-2444-2-2-2-244-2-241-2-211-2-2-2-21-2-2-2-244-2-2111111-2-2-2-21111440000-2-2-2-2000000001111000000000000000000000000000
χ544444-2-2444-2-2-2-244-2-241-2-211-2-2-2-21-2-2-2-244-2-2111111-2-2-2-21111-4-40000222200000000-1-1-1-1000000000000000000000000000
χ554444-2-24-4-4-2-2-2-244-2-241-2-211-2-2-2-21-2-222-4-4221111-1-12222-1-1-1-10000000000000000003-33-3000000000000000000000000000
χ564444-2-24-4-4-2-2-2-244-2-241-2-211-2-2-2-21-2-222-4-4221111-1-12222-1-1-1-1000000000000000000-33-33000000000000000000000000000
χ5744-4-444-2004-44-4-22-4-424-2-24-4-22-22-422000000-2-2220000000000004-40000000000000000000000000000000-22000000000000
χ5844-4-444-2004-44-4-22-4-424-2-24-4-22-22-422000000-2-222000000000000-4400000000000000000000000000000002-2000000000000
χ5944-4-44-24004-4-224-4-42-4-24-2-224-4-222-42000000-2-222000000000000000000000000000000000000000000022−2200000000−2−22200
χ6044-4-44-24004-4-224-4-42-4-24-2-224-4-222-42000000-2-2220000000000000000000000000000000000000000000−22220000000022−2−200
χ6144-4-4-24400-224-44-42-4-4-2-24-22-224-422-4000000-2-2220000000000000000000000000000000000000000022−22000000−2−222000000
χ6244-4-4-24400-224-44-42-4-4-2-24-22-224-422-4000000-2-22200000000000000000000000000000000000000000−222200000022−2−2000000
χ634-44-444-24-4-4-4-4-42244-24-2-2-4-422224-2-244-22-4-4-222-24-4-22-22-2-2220000000000000000000000000000000000000000000000000
χ644-44-444-2-44-4-4-4-42244-24-2-2-4-422224-2-2-4-42-244-222-2-442-22-222-2-20000000000000000000000000000000000000000000000000
χ654-44-44-244-4-4-422-4-44-24-24-222-4-422-24-24-24-4-42-222-2-224-4-22-2-2220000000000000000000000000000000000000000000000000
χ664-44-44-2-24-4-4-422224-2-2-2-212222-1-1-2-214-2-22-421-1-11-22-221-111-1-1000000000000000000000000003-3-330000000000000000000
χ674-44-44-2-24-4-4-422224-2-2-2-212222-1-1-2-214-2-22-421-1-11-22-221-111-1-100000000000000000000000000-333-30000000000000000000
χ684-44-44-2-2-44-4-422224-2-2-2-212222-1-1-2-21-422-24-21-1-112-22-2-11-1-11100000000000000−2i32i30000000000i3−i3i3−i30000000000000000000
χ694-44-44-2-2-44-4-422224-2-2-2-212222-1-1-2-21-422-24-21-1-112-22-2-11-1-111000000000000002i3−2i30000000000−i3i3−i3i30000000000000000000
χ704-44-4-2444-422-4-4-4-4-244-2-242222-4-4-2-24-244-42-4-222-2-22-224-4-2-2220000000000000000000000000000000000000000000000000
χ714-44-4-24-24-422-4-422-24-2-21-222-1-122-21-2-24-222-41-1-11-221-1-2211-1-100000000000000000000003-3-3300000000000000000000000
χ724-44-4-24-24-422-4-422-24-2-21-222-1-122-21-2-24-222-41-1-11-221-1-2211-1-10000000000000000000000-333-300000000000000000000000
χ734-44-4-24-2-4422-4-422-24-2-21-222-1-122-21-22-42-2-241-1-112-2-112-2-1-1110000000000−2i32i30000000000i3−i3i3−i300000000000000000000000
χ744-44-4-24-2-4422-4-422-24-2-21-222-1-122-21-22-42-2-241-1-112-2-112-2-1-11100000000002i3−2i30000000000−i3i3−i3i300000000000000000000000
χ754-44-4-2-244-42222-4-4-2-241-2-2-1-122221-2-2-2-24-4221-1-111-1-22-2211-1-10000000000000000003-3-33000000000000000000000000000
χ764-44-4-2-244-42222-4-4-2-241-2-2-1-122221-2-2-2-24-4221-1-111-1-22-2211-1-1000000000000000000-333-3000000000000000000000000000
χ774-44-4-2-24-442222-4-4-2-241-2-2-1-122221-2-222-44-2-21-1-11-112-22-2-1-1114-40000-22-220000000011-1-1000000000000000000000000000
χ784-44-4-2-24-442222-4-4-2-241-2-2-1-122221-2-222-44-2-21-1-11-112-22-2-1-111-4400002-22-200000000-1-111000000000000000000000000000
χ794-4-4444400-44-44-44-4-4-4444-44-44-44-4-4-40000004-44-400000000000000000000000000000000000000000000000000000000000
χ804-4-4444-200-44-442-2-4-424-2-2-442-22-2-422000000-22-2200000000000000000000000000000000000000000000000−2i32i30000000000
χ814-4-4444-200-44-442-2-4-424-2-2-442-22-2-422000000-22-22000000000000000000000000000000000000000000000002i3−2i30000000000
χ824-4-444-2400-442-2-44-42-4-24-22-2-442-22-42000000-22-2200000000000000000000000000000000000000000000000000000i6−i6−i6i600
χ834-4-444-2400-442-2-44-42-4-24-22-2-442-22-42000000-22-2200000000000000000000000000000000000000000000000000000−i6i6i6−i600
χ844-4-44-244002-2-44-442-4-4-2-242-22-2-4422-4000000-22-220000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ854-4-44-244002-2-44-442-4-4-2-242-22-2-4422-4000000-22-220000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ868888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000
χ878888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000
χ8888-8-88-4-4008-8-44-44-844-4-42-44-442-244-200000022-2-200000000000000000000000000000000000000000000000000000000000
χ8988-8-8-48-400-448-8-444-84-42-4-442-2-444-2400000022-2-200000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4800-44-448-844-82-4-42-2-44-44-24400000022-2-200000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-400-44-44-444442222-22-22-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-400-44-44-444442222-22-22-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000
χ938-88-8-4-4-48-8444444-4-4-4222-2-2-2-2-2-2222-4-4-4444-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000
χ948-88-8-4-4-4-88444444-4-4-4222-2-2-2-2-2-2222444-4-4-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000
χ958-8-888-4-400-884-44-4-844-4-424-44-4-2244-20000002-22-200000000000000000000000000000000000000000000000000000000000
χ968-8-88-48-4004-4-884-44-84-42-44-4-224-44-240000002-22-200000000000000000000000000000000000000000000000000000000000
χ978-8-88-4-48004-44-4-8844-82-4-4-224-44-4-2440000002-22-200000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-4004-44-44-4444222-22-22-22-2-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000
χ998-8-88-4-4-4004-44-44-4444222-22-22-22-2-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000

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