Finite Group Databasebeta

← Group #11779281

Character table — Group #11779281

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122233444466666634446661212121212121212121212121212121241212121212121212121212121212121212121212441212121224466881212121224242424888826688
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
χ511111111111111111-1-11111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-11111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-11111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ811111111111111111-1-11111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222-2-22222222-2-2-2-2-2-22-2-2-222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222-2-22-2-2-2-222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-222222-20000-2-2222222-20-2-2000000-2-2-2-200000000222222-200-2-20000000000000000000
χ12222222-22-22222222200-222222-20000-2-2222222-20-2-2000000-2-2-2-200000000-2-2-2-2-2-2200220000000000000000000
χ13222222-2-2-2-22222222002222-2-2-20000-2-2-2-2-2-2-2-2-2022000000-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-20000-2-2-2-2-2-2-2-2-2022000000-2-222000000000000000-220000-2-2220000000000000
χ1522222-12222-12-1-122-1222-1-1-1-1-1-122222222-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000220000-1-1-1-100002-1-100
χ1622222-12222-12-1-122-1222-1-1-1-1-1-122222222-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2000011110000-21100
χ1722222-12222-12-1-122-1-2-22-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-22-11111-2-2-1-1-1-11111111100000000000220000-1-1-1-10000-21100
χ1822222-12222-12-1-122-1-2-22-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-22-11111-2-2-1-1-1-11111111100000000000-2-20000111100002-1-100
χ1922222-12-22-2-12-1-122-122-2-1-1-111-1222222-2-21111-1-2-21-1-111-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ2022222-12-22-2-12-1-122-122-2-1-1-111-1222222-2-21111-1-2-21-1-111-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ2122222-12-22-2-12-1-122-1-2-2-2-1-1-111-1-2-2-2-222-2-21111-12-2111-1-122-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ2222222-12-22-2-12-1-122-1-2-2-2-1-1-111-1-2-2-2-222-2-21111-12-2111-1-122-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ232222-1222222-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-100-1-1-1-10000000000000
χ242222-1222222-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2110011110000000000000
χ252222-1222222-122-1-1-1-2-22-1-1-12221111-1-1-1-1-1-1-1-12-2-12-2-2-2-211-1-1-1-11111111122-1-1-1-12-2-2-1-10011110000000000000
χ262222-1222222-122-1-1-1-2-22-1-1-12221111-1-1-1-1-1-1-1-12-2-12-2-2-2-211-1-1-1-111111111-2-21111-2221100-1-1-1-10000000000000
χ272222-122-22-22-122-1-1-122-2-1-1-1-2-22-1-1-1-1-1-11111112-21-222-2-211-1-111-1-1-1-1111100−i3−i3i3i3000−i3i300−i3i3−i3i30000000000000
χ282222-122-22-22-122-1-1-122-2-1-1-1-2-22-1-1-1-1-1-11111112-21-222-2-211-1-111-1-1-1-1111100i3i3−i3−i3000i3−i300i3−i3i3−i30000000000000
χ292222-122-22-22-122-1-1-1-2-2-2-1-1-1-2-221111-1-1111111221-2-2-222-1-1-1-1111111-1-1-1-100−i3−i3i3i3000−i3i300i3−i3i3−i30000000000000
χ302222-122-22-22-122-1-1-1-2-2-2-1-1-1-2-221111-1-1111111221-2-2-222-1-1-1-1111111-1-1-1-100i3i3−i3−i3000i3−i300−i3i3−i3i30000000000000
χ312222-12-22-222-122-1-1-100-2-1-1-122-2−i3−i3i3i311-1-1-1-1-1-1-201-20000−i3i31111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2001100−i3i3i3−i30000000000000
χ322222-12-22-222-122-1-1-100-2-1-1-122-2−i3−i3i3i311-1-1-1-1-1-1-201-20000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-21111200-1-100i3−i3−i3i30000000000000
χ332222-12-22-222-122-1-1-100-2-1-1-122-2i3i3−i3−i311-1-1-1-1-1-1-201-20000i3−i31111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2001100i3−i3−i3i30000000000000
χ342222-12-22-222-122-1-1-100-2-1-1-122-2i3i3−i3−i311-1-1-1-1-1-1-201-20000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-21111200-1-100−i3i3i3−i30000000000000
χ352222-12-2-2-2-22-122-1-1-1002-1-1-1-2-2-2−i3−i3i3i311111111-20-120000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-2i3−i300-1-1110000000000000
χ362222-12-2-2-2-22-122-1-1-1002-1-1-1-2-2-2−i3−i3i3i311111111-20-120000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-22−i3i30011-1-10000000000000
χ372222-12-2-2-2-22-122-1-1-1002-1-1-1-2-2-2i3i3−i3−i311111111-20-120000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-22i3−i30011-1-10000000000000
χ382222-12-2-2-2-22-122-1-1-1002-1-1-1-2-2-2i3i3−i3−i311111111-20-120000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-2−i3i300-1-1110000000000000
χ392-22-22220-20-2-22-22-222i−2i0-22-20022i−2i2i−2i2-2000000-20002i−2i00002-2002i−2i2i−2i0000000000000000000000000−i2−i2i2i20002−2
χ402-22-22220-20-2-22-22-222i−2i0-22-20022i−2i2i−2i2-2000000-20002i−2i00002-2002i−2i2i−2i0000000000000000000000000i2i2−i2−i2000−22
χ412-22-22220-20-2-22-22-22−2i2i0-22-2002−2i2i−2i2i2-2000000-2000−2i2i00002-200−2i2i−2i2i0000000000000000000000000−i2−i2i2i2000−22
χ422-22-22220-20-2-22-22-22−2i2i0-22-2002−2i2i−2i2i2-2000000-2000−2i2i00002-200−2i2i−2i2i0000000000000000000000000i2i2−i2−i20002−2
χ432-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-200000000000000000000002i−2i2i−2i2i−2i00000−i2i20000−i2i2−i2i22−22−200000
χ442-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-200000000000000000000002i−2i2i−2i2i−2i00000i2−i20000i2−i2i2−i2−22−2200000
χ452-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-20000000000000000000000−2i2i−2i2i−2i2i00000−i2i20000−i2i2−i2i2−22−2200000
χ462-2-2222020-22-2-2-2-2220002-2-22-200000002-222-2-20000000000000000000000−2i2i−2i2i−2i2i00000i2−i20000i2−i2i2−i22−22−200000
χ4744444-2-44-44-24-2-244-200-4-2-2-2-2-220000-4-444-2-2-2-220-42000000222200000000000000000000000000000000000000
χ4844444-2-4-4-4-4-24-2-244-2004-2-2-22220000-4-4-4-42222204-200000022-2-200000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-22222-2-2-2-21111-2-4-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-411122-2-2-2-2-2-2-222-1-1-1-1-2-422-2-2222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-411122-22222-2-222-1-1-1-1-242222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111-2-22−2i3−2i32i32i322-2-2111120220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111-2-222i32i3−2i3−2i322-2-21111202200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-21004111222−2i3−2i32i32i32222-1-1-1-120-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-210041112222i32i3−2i3−2i32222-1-1-1-120-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-4440000-44-44-4-44000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ5844-4-4440000-44-44-4-44000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ594-44-444-4040-4-44-44-44000-44-400-40000-440000004000000000-440000000000000000000000000000000000000000
χ604-44-44-240-402-4-224-4-24i−4i02-2200-24i−4i4i−4i4-40000002000−2i2i0000-2200−2i2i−2i2i0000000000000000000000000000000000
χ614-44-44-240-402-4-224-4-2−4i4i02-2200-2−4i4i−4i4i4-400000020002i−2i0000-22002i−2i2i−2i0000000000000000000000000000000000
χ624-44-44-2-40402-4-224-4-20002-220020000-44000000-200000−2i32i3002-2000000−2i32i3−2i32i3000000000000000000000000000000
χ634-44-44-2-40402-4-224-4-20002-220020000-44000000-2000002i3−2i3002-20000002i3−2i32i3−2i3000000000000000000000000000000
χ644-44-4-2440-40-424-4-22-24i−4i02-22004−2i2i−2i2i-22000000-40004i−4i0000-2200−2i2i−2i2i0000000000000000000000000000000000
χ654-44-4-2440-40-424-4-22-2−4i4i02-220042i−2i2i−2i-22000000-4000−4i4i0000-22002i−2i2i−2i0000000000000000000000000000000000
χ664-44-4-24-4040-424-4-22-20002-2200-423−23−23232-200000040000000002-20023−23−23230000000000000000000000000000000000
χ674-44-4-24-4040-424-4-22-20002-2200-4−232323−232-200000040000000002-200−232323−230000000000000000000000000000000000
χ684-44-4-2-240-4022-22-2214i−4i0-11-100-2−2i2i−2i2i-22003i−3i3i−3i2000−2i2i00001-13i−3ii−ii−i3-3-33000000000000000000000000000000
χ694-44-4-2-240-4022-22-2214i−4i0-11-100-2−2i2i−2i2i-2200−3i3i−3i3i2000−2i2i00001-1−3i3ii−ii−i-333-3000000000000000000000000000000
χ704-44-4-2-240-4022-22-221−4i4i0-11-100-22i−2i2i−2i-22003i−3i3i−3i20002i−2i00001-13i−3i−ii−ii-333-3000000000000000000000000000000
χ714-44-4-2-240-4022-22-221−4i4i0-11-100-22i−2i2i−2i-2200−3i3i−3i3i20002i−2i00001-1−3i3i−ii−ii3-3-33000000000000000000000000000000
χ724-44-4-2-2-404022-22-221000-11-100223−23−23232-2003i−3i3i−3i-2000002i3−2i300-11−3i3i−333−3−i3i3−i3i3000000000000000000000000000000
χ734-44-4-2-2-404022-22-221000-11-100223−23−23232-200−3i3i−3i3i-200000−2i32i300-113i−3i−333−3i3−i3i3−i3000000000000000000000000000000
χ744-44-4-2-2-404022-22-221000-11-1002−232323−232-2003i−3i3i−3i-200000−2i32i300-11−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000
χ754-44-4-2-2-404022-22-221000-11-1002−232323−232-200−3i3i−3i3i-2000002i3−2i300-113i−3i3−3−33−i3i3−i3i3000000000000000000000000000000
χ764-4-44440-4044-4-4-4-4440004-4-4-440000000-44-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-2-422-44-2000-222-2200000004-4-2-222000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ784-4-444-2040-4-2-422-44-2000-222-2200000004-4-2-2220000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ794-4-444-20-404-2-422-44-2000-2222-20000000-4422-2-20000000000000000000000000000000000000006−6−66000000000
χ804-4-444-20-404-2-422-44-2000-2222-20000000-4422-2-2000000000000000000000000000000000000000−666−6000000000
χ814-4-44-24040-442-4-42-2-2000-2224-40000000-22-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ824-4-44-24040-442-4-42-2-2000-2224-40000000-22-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ834-4-44-240-40442-4-42-2-2000-222-4400000002-222-2-200000000000000000000000023−23−2323000000000000000000000000
χ844-4-44-240-40442-4-42-2-2000-222-4400000002-222-2-2000000000000000000000000−232323−23000000000000000000000000
χ8588-8-88-40000484-4-8-8-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-8-4-8844-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-44-4442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-44-4442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-8-44444-420002-2-2-440000000-4422-2-20000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-808-44444-420002-2-24-400000004-4-2-2220000000000000000000000000000000000000000000000000000

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