Finite Group Databasebeta

← Group #11780441

Character table — Group #11780441

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
χ511111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222200-222222-2-2-22200002222-2000000000-2-200-2-2-2-2000022222200-200-2-200000000000000000
χ102222222-2-22222222200-222222-2-2-22200002222-2000000000-2-200-2-2-2-20000-2-2-2-2-2-2002002200000000000000000
χ11222222-222-2222222222-2222-2-2222-2-22222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-22222-2-22222000000000000000000000000000000
χ12222222-222-22222222-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-20000000002200-2-22200000000002-20000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-20000000002200-2-2220000000000-2200000-2-2220000000000000
χ1522222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-122222-12-12-1-1-2-22-1-1-122-1-12-1-11111-1-1-1-12-2-2-21111112-1-2-2-1-1-1-1111122-1-1-1-1-2-2200-1-111110000000000000
χ1822222-122222-12-12-1-1-2-22-1-1-122-1-12-1-11111-1-1-1-12-2-2-21111112-1-2-2-1-1-1-11111-2-2111122-20011-1-1-1-10000000000000
χ1922222-12-2-222-12-12-1-100-2-1-1-12211-2-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i322-1-1-1-100-20011−i3i3−i3i30000000000000
χ2022222-12-2-222-12-12-1-100-2-1-1-12211-2-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2-2111100200-1-1i3−i3i3−i30000000000000
χ2122222-12-2-222-12-12-1-100-2-1-1-12211-2-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i322-1-1-1-100-20011i3−i3i3−i30000000000000
χ2222222-12-2-222-12-12-1-100-2-1-1-12211-2-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2-2111100200-1-1−i3i3−i3i30000000000000
χ2322222-1-222-22-12-12-1-122-2-1-1-1-2-2-1-1211-1-1-1-111112-2-2-2111111-2122-1-111-1-1-1-100−i3−i3i3i300000−i3i3−i3i3i3−i30000000000000
χ2422222-1-222-22-12-12-1-122-2-1-1-1-2-2-1-1211-1-1-1-111112-2-2-2111111-2122-1-111-1-1-1-100i3i3−i3−i300000i3−i3i3−i3−i3i30000000000000
χ2522222-1-222-22-12-12-1-1-2-2-2-1-1-1-2-2-1-1211111111112222-1-1-1-1-1-1-21-2-2-1-111111100−i3−i3i3i300000−i3i3i3−i3−i3i30000000000000
χ2622222-1-222-22-12-12-1-1-2-2-2-1-1-1-2-2-1-1211111111112222-1-1-1-1-1-1-21-2-2-1-111111100i3i3−i3−i300000i3−i3−i3i3i3−i30000000000000
χ2722222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i300−i3−i3i3i32-2000i3−i3-1-1110000000000000
χ2822222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i300i3i3−i3−i3-22000−i3i311-1-10000000000000
χ2922222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i300−i3−i3i3i3-22000i3−i311-1-10000000000000
χ3022222-1-2-2-2-22-12-12-1-1002-1-1-1-2-211-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i300i3i3−i3−i32-2000−i3i3-1-1110000000000000
χ312222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-122222-12-12-12-1-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-1-211-2-21111-1211-1-1-1-1111100000000022000000-1-1-1-10000-21100
χ342222-122222-12-12-12-1-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-1-211-2-21111-1211-1-1-1-11111000000000-2-2000000111100002-1-100
χ352222-12-222-2-12-12-12-122-2-1-1-11122-1-2-222221111-1-211-2-211111-2-1-1-1-111-1-1-1-100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-12-12-12-122-2-1-1-11122-1-2-222221111-1-211-2-211111-2-1-1-1-111-1-1-1-100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-12-12-12-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-12-1-122-1-1-1-11-211-1-111111100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-12-12-12-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-12-1-122-1-1-1-11-211-1-111111100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222200-2-2-22-2-222000-2-222-20002-2000022-2-200000000000000000000002-22-22-2000−i2i2000000−i2i2−i2i2−i2−i2i2i200000
χ402-22-222200-2-2-22-2-222000-2-222-20002-2000022-2-200000000000000000000002-22-22-2000i2−i2000000i2−i2i2−i2i2i2−i2−i200000
χ412-22-222200-2-2-22-2-222000-2-222-20002-2000022-2-20000000000000000000000-22-22-22000−i2i2000000−i2i2−i2i2i2i2−i2−i200000
χ422-22-222200-2-2-22-2-222000-2-222-20002-2000022-2-20000000000000000000000-22-22-22000i2−i2000000i2−i2i2−i2−i2−i2i2i200000
χ432-2-222202-20-2-2-222-222i−2i02-2-2002-22002i−2i2i−2i0000-2000000000002i−2i2-2002i−2i2i−2i000000000000000000000−i2i2−i2i20002−2
χ442-2-222202-20-2-2-222-222i−2i02-2-2002-22002i−2i2i−2i0000-2000000000002i−2i2-2002i−2i2i−2i000000000000000000000i2−i2i2−i2000−22
χ452-2-222202-20-2-2-222-22−2i2i02-2-2002-2200−2i2i−2i2i0000-200000000000−2i2i2-200−2i2i−2i2i000000000000000000000−i2i2−i2i2000−22
χ462-2-222202-20-2-2-222-22−2i2i02-2-2002-2200−2i2i−2i2i0000-200000000000−2i2i2-200−2i2i−2i2i000000000000000000000i2−i2i2−i20002−2
χ474444-244-4-44-24-24-24-200-4-2-2-2-2-2-4-42440000-2-2-2-220000000002-40022220000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-2004-2-2-222-4-42-4-4000022222000000000-240022-2-20000000000000000000000000000000000
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
χ514444-2-24-4-44-2-2-2-2-2-2100-4111-2-2222-2-2−2i3−2i32i32i311112000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2100-4111-2-2222-2-22i32i3−2i3−2i3111120002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2144-411122-2-2-222-2-2-2-2-1-1-1-1-2-42222-1-1-1-122-2-211-1-11111000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120002i3−2i3−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
χ5744-4-444000044-4-4-4-44000-44-400000000000000000000000000000000000000000000000000000000002-2-2200000
χ5844-4-444000044-4-4-4-44000-44-40000000000000000000000000000000000000000000000000000000000-222-200000
χ594-44-444-4004-4-44-4-444000-4-44-44000-440000-4-4440000000000000000000000000000000000000000000000000000
χ604-44-44-2400-4-4242-4-2-200022-24-4000-220000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ614-44-44-2400-4-4242-4-2-200022-24-4000-220000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ624-44-44-2-4004-4242-4-2-200022-2-440002-2000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ634-44-44-2-4004-4242-4-2-200022-2-440002-2000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ644-44-4-24400-42-4-2-424-200022-2-220004-40000-2-2220000000000000000000000000000000−2i22i2000000i2−i2i2−i2000000000
χ654-44-4-24400-42-4-2-424-200022-2-220004-40000-2-22200000000000000000000000000000002i2−2i2000000−i2i2−i2i2000000000
χ664-44-4-24-40042-4-2-424-200022-22-2000-44000022-2-20000000000000000000000000000000000000006−6−66000000000
χ674-44-4-24-40042-4-2-424-200022-22-2000-44000022-2-2000000000000000000000000000000000000000−666−6000000000
χ684-4-44440-440-4-4-444-440004-4-400-44-4000000000040000000000000-44000000000000000000000000000000000000
χ694-4-444-204-40-42-4-242-24i−4i0-22200-22400−2i2i−2i2i0000-4000000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000
χ704-4-444-204-40-42-4-242-2−4i4i0-22200-224002i−2i2i−2i0000-400000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000
χ714-4-444-20-440-42-4-242-2000-222002-2-40023−23−23230000400000000000002-20023−23−2323000000000000000000000000000000
χ724-4-444-20-440-42-4-242-2000-222002-2-400−232323−230000400000000000002-200−232323−23000000000000000000000000000000
χ734-4-44-2404-402-424-2-4-24i−4i0-222004-4-2004i−4i4i−4i0000200000000000−2i2i-2200−2i2i−2i2i000000000000000000000000000000
χ744-4-44-2404-402-424-2-4-2−4i4i0-222004-4-200−4i4i−4i4i00002000000000002i−2i-22002i−2i2i−2i000000000000000000000000000000
χ754-4-44-240-4402-424-2-4-2000-22200-4420000000000-20−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000
χ764-4-44-240-4402-424-2-4-2000-22200-4420000000000-202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000
χ774-4-44-2-204-40222-2-2214i−4i01-1-100-22-200−2i2i−2i2i3i−3i3i−3i2000003-3-3300−2i2i1-13i−3ii−ii−i000000000000000000000000000000
χ784-4-44-2-204-40222-2-2214i−4i01-1-100-22-200−2i2i−2i2i−3i3i−3i3i200000-333-300−2i2i1-1−3i3ii−ii−i000000000000000000000000000000
χ794-4-44-2-204-40222-2-221−4i4i01-1-100-22-2002i−2i2i−2i3i−3i3i−3i200000-333-3002i−2i1-13i−3i−ii−ii000000000000000000000000000000
χ804-4-44-2-204-40222-2-221−4i4i01-1-100-22-2002i−2i2i−2i−3i3i−3i3i2000003-3-33002i−2i1-1−3i3i−ii−ii000000000000000000000000000000
χ814-4-44-2-20-440222-2-2210001-1-1002-220023−23−23233i−3i3i−3i-202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000
χ824-4-44-2-20-440222-2-2210001-1-1002-220023−23−2323−3i3i−3i3i-20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000
χ834-4-44-2-20-440222-2-2210001-1-1002-2200−232323−233i−3i3i−3i-20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000
χ844-4-44-2-20-440222-2-2210001-1-1002-2200−232323−23−3i3i−3i3i-202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000
χ8588-8-88-400008-4-84-84-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-484-84-8-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-4-444442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-444442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-88-8-4-4800-844-444-42000-2-22-44000-44000022-2-20000000000000000000000000000000000000000000000000000
χ908-88-8-4-4-800844-444-42000-2-224-40004-40000-2-2220000000000000000000000000000000000000000000000000000

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