Finite Group Databasebeta

← Group #11779224

Character table — Group #11779224

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666344466612121212121212121212121212121212412121212121212121212121212121212121212122266664448812121212121224242424888826688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111-1-111111111111-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222200-22222222-2-2-200002222-20-2-2000000-2-2-2-200000000222222-20000-2-200000000000000000
χ102222222-2-22222222200-22222222-2-2-200002222-20-2-2000000-2-2-2-200000000-2-2-2-2-2-2200002200000000000000000
χ11222222-222-2222222222-2222-2-2-2-22222222-2-2-2-22-2-2-222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ12222222-222-22222222-2-2-2222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2022000000-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2022000000-2-222000000000000000-220000-2-2220000000000000
χ1522222-122222-12-1-12-1222-1-1-122-1-1-1222222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ1622222-122222-12-1-12-1222-1-1-122-1-1-1222222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ1722222-122222-12-1-12-1-2-22-1-1-122-1-1-122-2-2-2-2-1-1-1-1-1-22-111-2-211-1-1-1-11111111100000000022000000-1-1-1-10000-21100
χ1822222-122222-12-1-12-1-2-22-1-1-122-1-1-122-2-2-2-2-1-1-1-1-1-22-111-2-211-1-1-1-111111111000000000-2-2000000111100002-1-100
χ1922222-1-222-22-12-1-12-122-2-1-1-1-2-211-12222221111-1-2-21-1-1-2-211-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ2022222-1-222-22-12-1-12-122-2-1-1-1-2-211-12222221111-1-2-21-1-1-2-211-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ2122222-1-222-22-12-1-12-1-2-2-2-1-1-1-2-211-122-2-2-2-21111-12-211122-1-1-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ2222222-1-222-22-12-1-12-1-2-2-2-1-1-1-2-211-122-2-2-2-21111-12-211122-1-1-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ232222-122222-12-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ242222-122222-12-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ252222-122222-12-122-1-1-2-22-1-1-1-1-1222-1-11111-1-1-1-12-2-12-2-211-2-2-1-1-1-11111111122-1-1-1-12-2-200-1-111110000000000000
χ262222-122222-12-122-1-1-2-22-1-1-1-1-1222-1-11111-1-1-1-12-2-12-2-211-2-2-1-1-1-111111111-2-21111-2220011-1-1-1-10000000000000
χ272222-122-2-22-12-122-1-100-2-1-1-1-1-122-211−i3−i3i3i3-1-1-1-1-201-200−i3i3001111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2000011−i3i3−i3i30000000000000
χ282222-122-2-22-12-122-1-100-2-1-1-1-1-122-211−i3−i3i3i3-1-1-1-1-201-200−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-2111120000-1-1i3−i3i3−i30000000000000
χ292222-122-2-22-12-122-1-100-2-1-1-1-1-122-211i3i3−i3−i3-1-1-1-1-201-200i3−i3001111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2000011i3−i3i3−i30000000000000
χ302222-122-2-22-12-122-1-100-2-1-1-1-1-122-211i3i3−i3−i3-1-1-1-1-201-200i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-2111120000-1-1−i3i3−i3i30000000000000
χ312222-12-222-2-12-122-1-122-2-1-1-111-2-22-1-1-1-1-1-111112-21-22211-2-2-1-111-1-1-1-1111100−i3−i3i3i300000−i3i3−i3i3i3−i30000000000000
χ322222-12-222-2-12-122-1-122-2-1-1-111-2-22-1-1-1-1-1-111112-21-22211-2-2-1-111-1-1-1-1111100i3i3−i3−i300000i3−i3i3−i3−i3i30000000000000
χ332222-12-222-2-12-122-1-1-2-2-2-1-1-111-2-22-1-111111111221-2-2-2-1-122-1-1111111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3−i3i30000000000000
χ342222-12-222-2-12-122-1-1-2-2-2-1-1-111-2-22-1-111111111221-2-2-2-1-122-1-1111111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3i3−i30000000000000
χ352222-12-2-2-2-2-12-122-1-1002-1-1-111-2-2-211−i3−i3i3i31111-20-1200i3−i30011-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-200i3−i3-1-1110000000000000
χ362222-12-2-2-2-2-12-122-1-1002-1-1-111-2-2-211−i3−i3i3i31111-20-1200i3−i30011-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-2200−i3i311-1-10000000000000
χ372222-12-2-2-2-2-12-122-1-1002-1-1-111-2-2-211i3i3−i3−i31111-20-1200−i3i30011-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-2200i3−i311-1-10000000000000
χ382222-12-2-2-2-2-12-122-1-1002-1-1-111-2-2-211i3i3−i3−i31111-20-1200−i3i30011-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-200−i3i3-1-1110000000000000
χ3922-2-222-200222-2-2-2-220002-2-22-22-2000000022-2-200000000000000000000002-22-22-2000−i2i2000000−i2i2−i2i2−i2−i2i2i200000
χ4022-2-222-200222-2-2-2-220002-2-22-22-2000000022-2-200000000000000000000002-22-22-2000i2−i2000000i2−i2i2−i2i2i2−i2−i200000
χ4122-2-222-200222-2-2-2-220002-2-22-22-2000000022-2-20000000000000000000000-22-22-22000−i2i2000000−i2i2−i2i2i2i2−i2−i200000
χ4222-2-222-200222-2-2-2-220002-2-22-22-2000000022-2-20000000000000000000000-22-22-22000i2−i2000000i2−i2i2−i2−i2−i2i2i200000
χ432-2-22220-220-2-2-22-2222-20-22-20000-22-22-22-2000020002-200002-2002-22-200000000000000000000000002−22−20002−2
χ442-2-22220-220-2-2-22-2222-20-22-20000-22-22-22-2000020002-200002-2002-22-20000000000000000000000000−22−22000−22
χ452-2-22220-220-2-2-22-222-220-22-20000-22-2-22-2200002000-2200002-200-22-2200000000000000000000000002−22−2000−22
χ462-2-22220-220-2-2-22-222-220-22-20000-22-2-22-2200002000-2200002-200-22-220000000000000000000000000−22−220002−2
χ4744444-24-4-444-24-2-24-200-4-2-2-244-2-22-4-40000-2-2-2-220-42000000222200000000000000000000000000000000000000
χ4844444-2-4-4-4-44-24-2-24-2004-2-2-2-4-4222-4-400002222204-200000022-2-200000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-2-4-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2100-4111-2-2-2-2222−2i3−2i32i32i31111202200−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2100-4111-2-2-2-22222i32i3−2i3−2i311112022002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2144-41112222-2-2-2-2-2-2-2-1-1-1-1-2-422-2-2222211-1-11111-1-1-1-1000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-242222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120-2-2002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-120-2-200−2i32i300-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-444400-444-4-4-4-440004-4-4-44-440000000-4-4440000000000000000000000000000000000000000000000000000
χ5844-4-44-2400-44-2-422-4-2000-222-442-2000000022-2-20000000000000000000000000000000000000006−6−66000000000
χ5944-4-44-2400-44-2-422-4-2000-222-442-2000000022-2-2000000000000000000000000000000000000000−666−6000000000
χ6044-4-44-2-40044-2-422-4-2000-2224-4-220000000-2-2220000000000000000000000000000000−2i22i2000000i2−i2i2−i2000000000
χ6144-4-44-2-40044-2-422-4-2000-2224-4-220000000-2-22200000000000000000000000000000002i2−2i2000000−i2i2−i2i2000000000
χ6244-4-4-24400-4-242-4-42-2000-2222-2-44000000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ6344-4-4-24400-4-242-4-42-2000-2222-2-44000000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ6444-4-4-24-4004-242-4-42-2000-222-224-40000000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ6544-4-4-24-4004-242-4-42-2000-222-224-40000000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ664-44-4440000-4-44-44-44000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ674-44-4440000-4-44-44-44000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ684-4-444404-40-4-4-44-444000-44-400004-4400000000-4000000000-440000000000000000000000000000000000000000
χ694-4-444-204-40-42-4-224-20002-220000-2-44000000002000000023−232-200000023−2323−23000000000000000000000000000000
χ704-4-444-204-40-42-4-224-20002-220000-2-440000000020000000−23232-2000000−2323−2323000000000000000000000000000000
χ714-4-444-20-440-42-4-224-24-402-22000024-44-44-40000-2000-220000-2200-22-220000000000000000000000000000000000
χ724-4-444-20-440-42-4-224-2-4402-22000024-4-44-440000-20002-20000-22002-22-20000000000000000000000000000000000
χ734-4-44-2404-402-424-4-2-20002-22000042-2−2i32i32i3−2i30000-40000000002-200−2i32i32i3−2i30000000000000000000000000000000000
χ744-4-44-2404-402-424-4-2-20002-22000042-22i3−2i3−2i32i30000-40000000002-2002i3−2i3−2i32i30000000000000000000000000000000000
χ754-4-44-240-4402-424-4-2-24-402-220000-4-22-22-22000040004-40000-2200-22-220000000000000000000000000000000000
χ764-4-44-240-4402-424-4-2-2-4402-220000-4-222-22-200004000-440000-22002-22-20000000000000000000000000000000000
χ774-4-44-2-204-40222-22-21000-11-10000-22-2−2i32i32i3−2i33i−3i3i−3i2000000023−23-113i−3ii3−i3−i3i3−33−33000000000000000000000000000000
χ784-4-44-2-204-40222-22-21000-11-10000-22-2−2i32i32i3−2i3−3i3i−3i3i20000000−2323-11−3i3ii3−i3−i3i33−33−3000000000000000000000000000000
χ794-4-44-2-204-40222-22-21000-11-10000-22-22i3−2i3−2i32i33i−3i3i−3i20000000−2323-113i−3i−i3i3i3−i33−33−3000000000000000000000000000000
χ804-4-44-2-204-40222-22-21000-11-10000-22-22i3−2i3−2i32i3−3i3i−3i3i2000000023−23-11−3i3i−i3i3i3−i3−33−33000000000000000000000000000000
χ814-4-44-2-20-440222-22-214-40-11-100002-22-22-223i−3i3i−3i-2000-2200001-1−3i3i1-11-1−3i3i3i−3i000000000000000000000000000000
χ824-4-44-2-20-440222-22-214-40-11-100002-22-22-22−3i3i−3i3i-2000-2200001-13i−3i1-11-13i−3i−3i3i000000000000000000000000000000
χ834-4-44-2-20-440222-22-21-440-11-100002-222-22-23i−3i3i−3i-20002-200001-1−3i3i-11-113i−3i−3i3i000000000000000000000000000000
χ844-4-44-2-20-440222-22-21-440-11-100002-222-22-2−3i3i−3i3i-20002-200001-13i−3i-11-11−3i3i3i−3i000000000000000000000000000000
χ8588-8-8-4-4800-8-4-4444420002-2-24-44-40000000-2-2220000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-8008-4-4444420002-2-2-44-44000000022-2-20000000000000000000000000000000000000000000000000000
χ878-88-88-40000-8484-4-8-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800004-8-4-884-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4000044-44-442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-88-8-4-4000044-44-442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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