Finite Group Databasebeta

← Group #11779871

Character table — Group #11779871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666344466612121212121212121212121212121212266666666121212121212121212121212441212121222466668812122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1
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
χ511111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-11-1-1-1-1111111111111-1-1-1-1-1
χ611111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ711111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1-111
χ811111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111111-1-1
χ92222222-2-22222222200-2222-2-222220000-22222-2000000000-200-2-2-2-2-2000022222200-2000000-2-20000000000000
χ102222222-2-22222222200-2222-2-222220000-22222-2000000000-200-2-2-2-2-20000-2-2-2-2-2-2002000000220000000000000
χ11222222-222-2222222222-222222-2-2-2-222222-2-2-2-22-2-2-2-2-2-2-2-2-2-222-222-2-22222000000000000000000000000000000
χ12222222-222-22222222-2-2-222222-2-2-2-2-2-2-2-22-2-2-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-20000-2-2-2-2-2-20000000002002-2-22200000000002-2022-2-200000000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-20000-2-2-2-2-2-20000000002002-2-2220000000000-220-2-22200000000000000000
χ1522222-122222-12-1-12-1222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-100-1-10000000000000
χ1622222-122222-12-1-12-1222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111100110000000000000
χ1722222-122222-12-1-12-1-2-22-1-1-1-1-122-1-111112-1-1-1-12-2-2-21111112-2-2-1-1-1-1-1111122-1-1-1-1-2-22111100-1-10000000000000
χ1822222-122222-12-1-12-1-2-22-1-1-1-1-122-1-111112-1-1-1-12-2-2-21111112-2-2-1-1-1-1-11111-2-2111122-2-1-1-1-100110000000000000
χ1922222-12-2-222-12-1-12-100-2-1-1-11122-1-1−i3−i3i3i3-2-1-1-1-1-2000−i3i3−i3−i3i3i3-20011111−i3−i3i3i322-1-1-1-100-2−i3i3−i3i300110000000000000
χ2022222-12-2-222-12-1-12-100-2-1-1-11122-1-1−i3−i3i3i3-2-1-1-1-1-2000−i3i3−i3−i3i3i3-20011111−i3−i3i3i3-2-21111002i3−i3i3−i300-1-10000000000000
χ2122222-12-2-222-12-1-12-100-2-1-1-11122-1-1i3i3−i3−i3-2-1-1-1-1-2000i3−i3i3i3−i3−i3-20011111i3i3−i3−i322-1-1-1-100-2i3−i3i3−i300110000000000000
χ2222222-12-2-222-12-1-12-100-2-1-1-11122-1-1i3i3−i3−i3-2-1-1-1-1-2000i3−i3i3i3−i3−i3-20011111i3i3−i3−i3-2-21111002−i3i3−i3i300-1-10000000000000
χ2322222-1-222-22-12-1-12-122-2-1-1-1-1-1-2-211-1-1-1-1211112-2-2-2111111-2221-1-111-1-1-1-100−i3−i3i3i3000−i3i3i3−i300−i3i30000000000000
χ2422222-1-222-22-12-1-12-122-2-1-1-1-1-1-2-211-1-1-1-1211112-2-2-2111111-2221-1-111-1-1-1-100i3i3−i3−i3000i3−i3−i3i300i3−i30000000000000
χ2522222-1-222-22-12-1-12-1-2-2-2-1-1-1-1-1-2-2111111211112222-1-1-1-1-1-1-2-2-21-1-111111100−i3−i3i3i3000i3−i3−i3i300−i3i30000000000000
χ2622222-1-222-22-12-1-12-1-2-2-2-1-1-1-1-1-2-2111111211112222-1-1-1-1-1-1-2-2-21-1-111111100i3i3−i3−i3000−i3i3i3−i300i3−i30000000000000
χ2722222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211−i3−i3i3i3-21111-2000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i300−i3−i3i3i32-20-1-11100i3−i30000000000000
χ2822222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211−i3−i3i3i3-21111-2000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i300i3i3−i3−i3-22011-1-100−i3i30000000000000
χ2922222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211i3i3−i3−i3-21111-2000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i300−i3−i3i3i3-22011-1-100i3−i30000000000000
χ3022222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211i3i3−i3−i3-21111-2000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i300i3i3−i3−i32-20-1-11100−i3i30000000000000
χ312222-122222-12-122-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100000000000002200-1-1-1-100002-1-100
χ322222-122222-12-122-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10000000000000-2-20011110000-21100
χ332222-122222-12-122-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111-1112-1-1-1-1111100000000000002200-1-1-1-10000-21100
χ342222-122222-12-122-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111-1112-1-1-1-111110000000000000-2-200111100002-1-100
χ352222-12-222-2-12-122-1-122-2-1-1-12211-2-22222-11111-1-211-2-211111-1-1-2-1-111-1-1-1-100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-12-122-1-122-2-1-1-12211-2-22222-11111-1-211-2-211111-1-1-2-1-111-1-1-1-100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-12-122-1-1-2-2-2-1-1-12211-2-2-2-2-2-2-11111-12-1-122-1-1-1-1111-2-1-111111100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-12-122-1-1-2-2-2-1-1-12211-2-2-2-2-2-2-11111-12-1-122-1-1-1-1111-2-1-111111100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222200-2-2-22-22-22000-2-22002-22-20000022-2-200000000000000000000002-22-22-20000000−i2i200−i2i2−i2i2−i2−i2i2i200000
χ402-22-222200-2-2-22-22-22000-2-22002-22-20000022-2-200000000000000000000002-22-22-20000000i2−i200i2−i2i2−i2i2i2−i2−i200000
χ412-22-222200-2-2-22-22-22000-2-22002-22-20000022-2-20000000000000000000000-22-22-220000000−i2i200−i2i2−i2i2i2i2−i2−i200000
χ422-22-222200-2-2-22-22-22000-2-22002-22-20000022-2-20000000000000000000000-22-22-220000000i2−i200i2−i2i2−i2−i2−i2i2i200000
χ432-2-222202-20-22-2-2-2222i−2i02-2-22-200002i−2i2i−2i20000-200000000002i−2i02-2002i−2i2i−2i0000000000000000000002−22−2000−i2i2
χ442-2-222202-20-22-2-2-2222i−2i02-2-22-200002i−2i2i−2i20000-200000000002i−2i02-2002i−2i2i−2i000000000000000000000−22−22000i2−i2
χ452-2-222202-20-22-2-2-222−2i2i02-2-22-20000−2i2i−2i2i20000-20000000000−2i2i02-200−2i2i−2i2i0000000000000000000002−22−2000i2−i2
χ462-2-222202-20-22-2-2-222−2i2i02-2-22-20000−2i2i−2i2i20000-20000000000−2i2i02-200−2i2i−2i2i000000000000000000000−22−22000−i2i2
χ474444-244-4-44-24-244-2-200-4-2-2-2-4-4-2-24400002-2-2-2-22000000000200-422220000000000000000000000000000000000
χ484444-24-4-4-4-4-24-244-2-2004-2-2-2-4-422-4-40000222222000000000-200422-2-20000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-22222-21111-2-42222-1-1-1-1-222-21111-1-1-1-1000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2100-411122-2-2-2-2−2i3−2i32i32i3211112000−2i32i3i3i3−i3−i32002-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2100-411122-2-2-2-22i32i3−2i3−2i32111120002i3−2i3−i3−i3i3i32002-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2144-4111-2-22222-2-2-2-2-2-1-1-1-1-2-42222-1-1-1-12-2-2211-1-11111000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4-4-4111-2-222222222-2-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-21004111222222−2i3−2i32i32i32-1-1-1-120002i3−2i3−i3−i3i3i3-200-2-1-111i3i3−i3−i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-210041112222222i32i3−2i3−2i32-1-1-1-12000−2i32i3i3i3−i3−i3-200-2-1-111−i3−i3i3i3000000000000000000000000000000
χ5744-4-44400004-4-44-4-44000-44-400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ5844-4-44400004-4-44-4-44000-44-40000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ594-44-444-4004-4-44-44-44000-4-4400-44-4400000-4-4440000000000000000000000000000000000000000000000000000
χ604-44-44-2400-4-4242-2-4-200022-2004-4-2200000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ614-44-44-2400-4-4242-2-4-200022-2004-4-2200000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ624-44-44-2-4004-4242-2-4-200022-200-442-20000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ634-44-44-2-4004-4242-2-4-200022-200-442-20000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ644-44-4-24400-42-4-2-442-200022-200-224-400000-2-22200000000000000000000000000000000000−2i22i200i2−i2i2−i2000000000
χ654-44-4-24400-42-4-2-442-200022-200-224-400000-2-222000000000000000000000000000000000002i2−2i200−i2i2−i2i2000000000
χ664-44-4-24-40042-4-2-442-200022-2002-2-440000022-2-20000000000000000000000000000000000000006−6−66000000000
χ674-44-4-24-40042-4-2-442-200022-2002-2-440000022-2-2000000000000000000000000000000000000000−666−6000000000
χ684-4-44440-440-44-4-4-4440004-4-4-4400000000-4000040000000000000-44000000000000000000000000000000000000
χ694-4-444-204-40-4-2-4224-24i−4i0-222-220000−2i2i−2i2i40000-400000000004i−4i0-2200−2i2i−2i2i000000000000000000000000000000
χ704-4-444-204-40-4-2-4224-2−4i4i0-222-2200002i−2i2i−2i40000-40000000000−4i4i0-22002i−2i2i−2i000000000000000000000000000000
χ714-4-444-20-440-4-2-4224-2000-2222-2000023−23−2323-40000400000000000002-20023−23−2323000000000000000000000000000000
χ724-4-444-20-440-4-2-4224-2000-2222-20000−232323−23-40000400000000000002-200−232323−23000000000000000000000000000000
χ734-4-44-2404-40242-4-4-2-24i−4i0-2224-400004i−4i4i−4i-2000020000000000−2i2i0-2200−2i2i−2i2i000000000000000000000000000000
χ744-4-44-2404-40242-4-4-2-2−4i4i0-2224-40000−4i4i−4i4i-20000200000000002i−2i0-22002i−2i2i−2i000000000000000000000000000000
χ754-4-44-240-440242-4-4-2-2000-222-440000000020000-20−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000
χ764-4-44-240-440242-4-4-2-2000-222-440000000020000-202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000
χ774-4-44-2-204-402-2222-214i−4i01-1-1-220000−2i2i−2i2i-23i−3i3i−3i2000003-3-330−2i2i01-13i−3ii−ii−i000000000000000000000000000000
χ784-4-44-2-204-402-2222-214i−4i01-1-1-220000−2i2i−2i2i-2−3i3i−3i3i200000-333-30−2i2i01-1−3i3ii−ii−i000000000000000000000000000000
χ794-4-44-2-204-402-2222-21−4i4i01-1-1-2200002i−2i2i−2i-23i−3i3i−3i200000-333-302i−2i01-13i−3i−ii−ii000000000000000000000000000000
χ804-4-44-2-204-402-2222-21−4i4i01-1-1-2200002i−2i2i−2i-2−3i3i−3i3i2000003-3-3302i−2i01-1−3i3i−ii−ii000000000000000000000000000000
χ814-4-44-2-20-4402-2222-210001-1-12-2000023−23−232323i−3i3i−3i-202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000
χ824-4-44-2-20-4402-2222-210001-1-12-2000023−23−23232−3i3i−3i3i-20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000
χ834-4-44-2-20-4402-2222-210001-1-12-20000−232323−2323i−3i3i−3i-20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000
χ844-4-44-2-20-4402-2222-210001-1-12-20000−232323−232−3i3i−3i3i-202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000
χ8588-8-88-4000084-8-44-8-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-4-848-84-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-444-4442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-444-4442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-88-8-4-4800-844-44-442000-2-2200-44-440000022-2-20000000000000000000000000000000000000000000000000000
χ908-88-8-4-4-800844-44-442000-2-22004-44-400000-2-2220000000000000000000000000000000000000000000000000000

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