Finite Group Databasebeta

← Group #11779501

Character table — Group #11779501

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122233444466666634446661212121212121212121212121212121226666666612121212121212121212121244121212122446688121212122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1
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
χ511111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ811111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222200-2222-222220000-2-22222-200000000000-2-2-2-2-2-20000222222-200-2-20000000000000000000
χ102222222-2-22222222200-2222-222220000-2-22222-200000000000-2-2-2-2-2-20000-2-2-2-2-2-2200220000000000000000000
χ11222222-222-2222222222-22222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-2-2-2-222-2-222-2-22222000000000000000000000000000000
χ12222222-222-22222222-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-20000000000022-2-222000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-20000000000022-2-22200000000000-220000-2-2220000000000000
χ1522222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-100-1-1-1-10000000000000
χ1622222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-21111-2-2-2110011110000000000000
χ1722222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2111111-2-22-1-1-1-1-1111122-1-1-1-12-2-2-1-10011110000000000000
χ1822222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2111111-2-22-1-1-1-1-11111-2-21111-2221100-1-1-1-10000000000000
χ1922222-12-2-2222-1-12-1-100-2-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-2000−i3i3−i3−i3i3i300-211111−i3−i3i3i322-1-1-1-1-2001100−i3i3−i3i30000000000000
χ2022222-12-2-2222-1-12-1-100-2-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-2000−i3i3−i3−i3i3i300-211111−i3−i3i3i3-2-21111200-1-100i3−i3i3−i30000000000000
χ2122222-12-2-2222-1-12-1-100-2-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-2000i3−i3i3i3−i3−i300-211111i3i3−i3−i322-1-1-1-1-2001100i3−i3i3−i30000000000000
χ2222222-12-2-2222-1-12-1-100-2-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-2000i3−i3i3i3−i3−i300-211111i3i3−i3−i3-2-21111200-1-100−i3i3−i3i30000000000000
χ2322222-1-222-222-1-12-1-122-2-1-1-12-2-211-1-1-1-1-1-111112-2-2-211111122-21-1-111-1-1-1-100−i3−i3i3i3000−i3i300−i3i3i3−i30000000000000
χ2422222-1-222-222-1-12-1-122-2-1-1-12-2-211-1-1-1-1-1-111112-2-2-211111122-21-1-111-1-1-1-100i3i3−i3−i3000i3−i300i3−i3−i3i30000000000000
χ2522222-1-222-222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-111112222-1-1-1-1-1-1-2-2-21-1-111111100−i3−i3i3i3000−i3i300i3−i3−i3i30000000000000
χ2622222-1-222-222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-111112222-1-1-1-1-1-1-2-2-21-1-111111100i3i3−i3−i3000i3−i300−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000i3−i3i3i3−i3−i3002-111-1-1−i3−i3i3i300−i3−i3i3i302-2i3−i300-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000i3−i3i3i3−i3−i3002-111-1-1−i3−i3i3i300i3i3−i3−i30-22−i3i30011-1-10000000000000
χ2922222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000−i3i3−i3−i3i3i3002-111-1-1i3i3−i3−i300−i3−i3i3i30-22i3−i30011-1-10000000000000
χ3022222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000−i3i3−i3−i3i3i3002-111-1-1i3i3−i3−i300i3i3−i3−i302-2−i3i300-1-1110000000000000
χ312222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100000000000220000-1-1-1-100002-1-100
χ322222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100000000000-2-2000011110000-21100
χ332222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-2-2111111-12-1-1-1-1111100000000000220000-1-1-1-10000-21100
χ342222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-2-2111111-12-1-1-1-1111100000000000-2-20000111100002-1-100
χ352222-12-222-2-1-122-12-122-2-1-1-1-111-2-22222221111-1-211-2-21111-1-11-2-1-111-1-1-1-100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-1-122-12-122-2-1-1-1-111-2-22222221111-1-211-2-21111-1-11-2-1-111-1-1-1-100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-12-1-122-1-1-1-1111-2-1-111111100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-12-1-122-1-1-1-1111-2-1-111111100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-222-2002-222-2-2-22000-2-2202-22-200000022-2-200000000000000000000002i−2i2i−2i2i−2i00000−i2i20000−i2i2−i2i222−2−200000
χ4022-2-222-2002-222-2-2-22000-2-2202-22-200000022-2-200000000000000000000002i−2i2i−2i2i−2i00000i2−i20000i2−i2i2−i2−2−22200000
χ4122-2-222-2002-222-2-2-22000-2-2202-22-200000022-2-20000000000000000000000−2i2i−2i2i−2i2i00000−i2i20000−i2i2−i2i2−2−22200000
χ4222-2-222-2002-222-2-2-22000-2-2202-22-200000022-2-20000000000000000000000−2i2i−2i2i−2i2i00000i2−i20000i2−i2i2−i222−2−200000
χ432-22-2220-2202-2-22-2-222i−2i02-2-2-200002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i0000000000000000000002−22−2000−i2i2
χ442-22-2220-2202-2-22-2-222i−2i02-2-2-200002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i000000000000000000000−22−22000i2−i2
χ452-22-2220-2202-2-22-2-22−2i2i02-2-2-20000−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i0000000000000000000002−22−2000i2−i2
χ462-22-2220-2202-2-22-2-22−2i2i02-2-2-20000−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i000000000000000000000−22−22000−i2i2
χ474444-244-4-44-2-244-24-200-4-2-2-22-2-2440000-4-4-2-2-2-22000000000002-422220000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-2004-2-2-2222-4-40000-4-42222200000000000-2422-2-20000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-21111-2-2-2-211111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-22222-2-21111-2-42222-1-1-1-122-2-21111-1-1-1-1000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2100-41112-2-2-2-2−2i3−2i32i32i32211112000−2i32i3i3i3−i3−i30022-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2100-41112-2-2-2-22i32i3−2i3−2i322111120002i3−2i3−i3−i3i3i30022-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2144-4111-22222-2-2-2-2-2-2-1-1-1-1-2-42222-1-1-1-1-2-22211-1-11111000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4-4-4111-222222222-2-2-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2100411122222−2i3−2i32i32i322-1-1-1-120002i3−2i3−i3−i3i3i300-2-2-1-111i3i3−i3−i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21004111222222i32i3−2i3−2i322-1-1-1-12000−2i32i3i3i3−i3−i300-2-2-1-111−i3−i3i3i3000000000000000000000000000000
χ5744-4-444400-4-444-4-4-44000-4-440-44-44000000-4-4440000000000000000000000000000000000000000000000000000
χ5844-4-44-2400-4-44-22-42-200022-20-442-200000022-2-200000000000000000000000023−23−2323000000000000000000000000
χ5944-4-44-2400-4-44-22-42-200022-20-442-200000022-2-2000000000000000000000000−232323−23000000000000000000000000
χ6044-4-44-2-4004-44-22-42-200022-204-4-22000000-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ6144-4-44-2-4004-44-22-42-200022-204-4-22000000-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ6244-4-4-24400-42-24-42-4-200022-202-2-4400000022-2-20000000000000000000000000000000000000006−6−66000000000
χ6344-4-4-24400-42-24-42-4-200022-202-2-4400000022-2-2000000000000000000000000000000000000000−666−6000000000
χ6444-4-4-24-40042-24-42-4-200022-20-224-4000000-2-222000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ6544-4-4-24-40042-24-42-4-200022-20-224-4000000-2-2220000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ664-44-44404-404-4-44-4-440004-4-4400000000-440000-40000000000000-44000000000000000000000000000000000000
χ674-44-44-204-404-42-2-42-2000-2224000023−23−23232-20000-400000000000002-20023−23−2323000000000000000000000000000000
χ684-44-44-204-404-42-2-42-2000-22240000−232323−232-20000-400000000000002-200−232323−23000000000000000000000000000000
χ694-44-44-20-4404-42-2-42-24i−4i0-222-40000−2i2i−2i2i-22000040000000004i−4i00-2200−2i2i−2i2i000000000000000000000000000000
χ704-44-44-20-4404-42-2-42-2−4i4i0-222-400002i−2i2i−2i-2200004000000000−4i4i00-22002i−2i2i−2i000000000000000000000000000000
χ714-44-4-2404-40-22-442-4-2000-222-200000000-44000020−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000
χ724-44-4-2404-40-22-442-4-2000-222-200000000-440000202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000
χ734-44-4-240-440-22-442-4-24i−4i0-222200004i−4i4i−4i4-40000-2000000000−2i2i00-2200−2i2i−2i2i000000000000000000000000000000
χ744-44-4-240-440-22-442-4-2−4i4i0-22220000−4i4i−4i4i4-40000-20000000002i−2i00-22002i−2i2i−2i000000000000000000000000000000
χ754-44-4-2-204-40-222-22210001-1-1-2000023−23−23232-23i−3i3i−3i20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000
χ764-44-4-2-204-40-222-22210001-1-1-2000023−23−23232-2−3i3i−3i3i202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000
χ774-44-4-2-204-40-222-22210001-1-1-20000−232323−232-23i−3i3i−3i202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000
χ784-44-4-2-204-40-222-22210001-1-1-20000−232323−232-2−3i3i−3i3i20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000
χ794-44-4-2-20-440-222-22214i−4i01-1-120000−2i2i−2i2i-223i−3i3i−3i-200000-333-3−2i2i001-1−3i3ii−ii−i000000000000000000000000000000
χ804-44-4-2-20-440-222-22214i−4i01-1-120000−2i2i−2i2i-22−3i3i−3i3i-2000003-3-33−2i2i001-13i−3ii−ii−i000000000000000000000000000000
χ814-44-4-2-20-440-222-2221−4i4i01-1-1200002i−2i2i−2i-223i−3i3i−3i-2000003-3-332i−2i001-1−3i3i−ii−ii000000000000000000000000000000
χ824-44-4-2-20-440-222-2221−4i4i01-1-1200002i−2i2i−2i-22−3i3i−3i3i-200000-333-32i−2i001-13i−3i−ii−ii000000000000000000000000000000
χ834-4-44440000-4-4-4-4444000-44-400000000000000000000000000000000000000000000000000000000002-2-2200000
χ844-4-44440000-4-4-4-4444000-44-40000000000000000000000000000000000000000000000000000000000-222-200000
χ8588-8-8-4-4800-84-4-44442000-2-2204-44-4000000-2-2220000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-80084-4-44442000-2-220-44-4400000022-2-20000000000000000000000000000000000000000000000000000
χ878-8-888-40000-8-8448-4-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48000044-8-8-48-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-42000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-42000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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