Finite Group Databasebeta

← Group #11780118

Character table — Group #11780118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666344466612121212121212121212121212121212266666666121212121212121212121212226666444881212121212122424242488884121288
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
χ511111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222222-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-22222-2-22222000000000000000000000000000000
χ102222222-22-22222222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ11222222-22-22222222200-2222-2-2-2222200002222-2000000000-2-200-2-2-2-20000222222-20000-2-200000000000000000
χ12222222-22-22222222200-2222-2-2-2222200002222-2000000000-2-200-2-2-2-20000-2-2-2-2-2-2200002200000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-20000000002200-2-222000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-20000000002200-2-22200000000000-220000-2-2220000000000000
χ1522222-1222222-1-12-1-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-1222222-1-12-1-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-1222222-1-12-1-1-2-22-1-1-12-1-122-1-11111-1-1-1-12-2-2-21111112-1-2-2-1-1-1-1111122-1-1-1-12-2-200-1-111110000000000000
χ1822222-1222222-1-12-1-1-2-22-1-1-12-1-122-1-11111-1-1-1-12-2-2-21111112-1-2-2-1-1-1-11111-2-21111-2220011-1-1-1-10000000000000
χ1922222-12-22-222-1-12-1-122-2-1-1-12-1-1-2-211-1-1-1-111112-2-2-2111111-2122-1-111-1-1-1-100−i3−i3i3i300000−i3i3−i3i3−i3i30000000000000
χ2022222-12-22-222-1-12-1-122-2-1-1-12-1-1-2-211-1-1-1-111112-2-2-2111111-2122-1-111-1-1-1-100i3i3−i3−i300000i3−i3i3−i3i3−i30000000000000
χ2122222-12-22-222-1-12-1-1-2-2-2-1-1-12-1-1-2-211111111112222-1-1-1-1-1-1-21-2-2-1-111111100−i3−i3i3i300000−i3i3i3−i3i3−i30000000000000
χ2222222-12-22-222-1-12-1-1-2-2-2-1-1-12-1-1-2-211111111112222-1-1-1-1-1-1-21-2-2-1-111111100i3i3−i3−i300000i3−i3−i3i3−i3i30000000000000
χ2322222-1-22-2222-1-12-1-100-2-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i322-1-1-1-1-2000011−i3i3i3−i30000000000000
χ2422222-1-22-2222-1-12-1-100-2-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2-2111120000-1-1i3−i3−i3i30000000000000
χ2522222-1-22-2222-1-12-1-100-2-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i322-1-1-1-1-2000011i3−i3−i3i30000000000000
χ2622222-1-22-2222-1-12-1-100-2-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2-2111120000-1-1−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i300−i3−i3i3i302-200i3−i3-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i300i3i3−i3−i30-2200−i3i311-1-10000000000000
χ2922222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i300−i3−i3i3i30-2200i3−i311-1-10000000000000
χ3022222-1-2-2-2-222-1-12-1-1002-1-1-1-211-2-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i300i3i3−i3−i302-200−i3i3-1-1110000000000000
χ312222-122222-1-122-12-1222-1-1-1-122-1-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-122222-1-122-12-1222-1-1-1-122-1-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-122222-1-122-12-1-2-22-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-211-2-21111-1211-1-1-1-1111100000000022000000-1-1-1-10000-21100
χ342222-122222-1-122-12-1-2-22-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-211-2-21111-1211-1-1-1-11111000000000-2-2000000111100002-1-100
χ352222-122-22-2-1-122-12-122-2-1-1-1-12211-2-222221111-1-211-2-211111-2-1-1-1-111-1-1-1-100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-122-12-122-2-1-1-1-12211-2-222221111-1-211-2-211111-2-1-1-1-111-1-1-1-100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-122-12-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-12-1-122-1-1-1-11-211-1-111111100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-122-12-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-12-1-122-1-1-1-11-211-1-111111100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222-20202-2-22-2-222i−2i02-2-2-22-200002i−2i2i−2i00002000000000002i−2i2-2002i−2i2i−2i00000000000000000000022−2−2000−i2i2
χ402-22-222-20202-2-22-2-222i−2i02-2-2-22-200002i−2i2i−2i00002000000000002i−2i2-2002i−2i2i−2i000000000000000000000−2−222000i2−i2
χ412-22-222-20202-2-22-2-22−2i2i02-2-2-22-20000−2i2i−2i2i0000200000000000−2i2i2-200−2i2i−2i2i00000000000000000000022−2−2000i2−i2
χ422-22-222-20202-2-22-2-22−2i2i02-2-2-22-20000−2i2i−2i2i0000200000000000−2i2i2-200−2i2i−2i2i000000000000000000000−2−222000−i2i2
χ432-2-22220-202-2-2-2-2222000-2-220002-22-2000022-2-200000000000000000000002-22-22-20002−20000002−22−22−22−200000
χ442-2-22220-202-2-2-2-2222000-2-220002-22-2000022-2-200000000000000000000002-22-22-2000−22000000−22−22−22−2200000
χ452-2-22220-202-2-2-2-2222000-2-220002-22-2000022-2-20000000000000000000000-22-22-220002−20000002−22−2−22−2200000
χ462-2-22220-202-2-2-2-2222000-2-220002-22-2000022-2-20000000000000000000000-22-22-22000−22000000−22−222−22−200000
χ474444-24-44-44-2-244-24-200-4-2-2-22-4-4-2-2440000-2-2-2-220000000002-40022220000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-2004-2-2-22-4-422-4-4000022222000000000-240022-2-20000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-2-42222-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-4111-2-2-22222-2-2-2-2-1-1-1-1-2-42222-1-1-1-122-2-211-1-11111000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-4111-2-2-222222222-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111222-2-2-2-2−2i3−2i32i32i311112000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111222-2-2-2-22i32i3−2i3−2i3111120002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120002i3−2i3−i3−i3i3i3-2-200-1-111i3i3−i3−i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-12000−2i32i3i3i3−i3−i3-2-200-1-111−i3−i3i3i3000000000000000000000000000000
χ5744-4-4440000-444-4-4-44000-44-400000000000000000000000000000000000000000000000000000000002-2-2200000
χ5844-4-4440000-444-4-4-44000-44-40000000000000000000000000000000000000000000000000000000000-222-200000
χ594-44-44440-404-4-44-4-440004-4-44-44000000000000-40000000000000-44000000000000000000000000000000000000
χ604-44-44-240-404-42-2-42-2000-22242-2000023−23−23230000-400000000000002-20023−23−2323000000000000000000000000000000
χ614-44-44-240-404-42-2-42-2000-22242-20000−232323−230000-400000000000002-200−232323−23000000000000000000000000000000
χ624-44-44-2-40404-42-2-42-24i−4i0-222-4-220000−2i2i−2i2i00004000000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000
χ634-44-44-2-40404-42-2-42-2−4i4i0-222-4-2200002i−2i2i−2i0000400000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000
χ644-44-4-2440-40-22-442-4-2000-222-2-4400000000000020−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000
χ654-44-4-2440-40-22-442-4-2000-222-2-44000000000000202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000
χ664-44-4-24-4040-22-442-4-24i−4i0-22224-400004i−4i4i−4i0000-200000000000−2i2i-2200−2i2i−2i2i000000000000000000000000000000
χ674-44-4-24-4040-22-442-4-2−4i4i0-22224-40000−4i4i−4i4i0000-2000000000002i−2i-22002i−2i2i−2i000000000000000000000000000000
χ684-44-4-2-240-40-222-22210001-1-1-22-2000023−23−23233i−3i3i−3i20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000
χ694-44-4-2-240-40-222-22210001-1-1-22-2000023−23−2323−3i3i−3i3i202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000
χ704-44-4-2-240-40-222-22210001-1-1-22-20000−232323−233i−3i3i−3i202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000
χ714-44-4-2-240-40-222-22210001-1-1-22-20000−232323−23−3i3i−3i3i20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000
χ724-44-4-2-2-4040-222-22214i−4i01-1-12-220000−2i2i−2i2i3i−3i3i−3i-200000-333-300−2i2i1-1−3i3ii−ii−i000000000000000000000000000000
χ734-44-4-2-2-4040-222-22214i−4i01-1-12-220000−2i2i−2i2i−3i3i−3i3i-2000003-3-3300−2i2i1-13i−3ii−ii−i000000000000000000000000000000
χ744-44-4-2-2-4040-222-2221−4i4i01-1-12-2200002i−2i2i−2i3i−3i3i−3i-2000003-3-33002i−2i1-1−3i3i−ii−ii000000000000000000000000000000
χ754-44-4-2-2-4040-222-2221−4i4i01-1-12-2200002i−2i2i−2i−3i3i−3i3i-200000-333-3002i−2i1-13i−3i−ii−ii000000000000000000000000000000
χ764-4-4444040-4-4-4-4-4444000-4-44000-44-440000-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-4-4224-2-200022-2000-442-2000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ784-4-444-2040-4-4-4224-2-200022-2000-442-2000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ794-4-444-20-404-4-4224-2-200022-20004-4-220000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ804-4-444-20-404-4-4224-2-200022-20004-4-220000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ814-4-44-24040-422-4-4-24-200022-20002-2-44000022-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ824-4-44-24040-422-4-4-24-200022-20002-2-44000022-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ834-4-44-240-40422-4-4-24-200022-2000-224-40000-2-222000000000000000000000000000000022−22000000−22−22000000000
χ844-4-44-240-40422-4-4-24-200022-2000-224-40000-2-2220000000000000000000000000000000−22220000002−22−2000000000
χ8588-8-88-40000-88-44-84-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800004-48-84-8-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-4-44442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-44442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-84444-4-42000-2-220004-44-40000-2-2220000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-8084444-4-42000-2-22000-44-44000022-2-20000000000000000000000000000000000000000000000000000

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