Finite Group Databasebeta

← Group #11780109

Character table — Group #11780109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666223466666661212121212121212121212124666666121212121212121212121212121244121212122446688121212122424242488884121288
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
χ51111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ61111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222002-200002222222-2-2-22222-20000000-2-20000-2-2-2-20000222222-200-2-20000000000000000000
χ102222222-2-22222222002-200002222222-2-2-22222-20000000-2-20000-2-2-2-20000-2-2-2-2-2-2200220000000000000000000
χ11222222-222-2222222222-22222222-2-2-2-2222-2-2-2-22-2222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ12222222-222-2222222-2-22-2-2-2-2-2222-2-2-2-2222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000
χ13222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-222000000000002-2000022-2-20000000000000
χ14222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-22200000000000-220000-2-2220000000000000
χ1522222-122222-12-12-122-12-1-1-1-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-100-1-1-1-10000000000000
χ1622222-122222-12-12-122-12-1-1-1-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2110011110000000000000
χ1722222-122222-12-12-1-2-2-121111-1-1-122-1-12-1-1-1-1-1-12-2-2-211112-1-2-211-1-1-1-1111122-1-1-1-12-2-2-1-10011110000000000000
χ1822222-122222-12-12-1-2-2-121111-1-1-122-1-12-1-1-1-1-1-12-2-2-211112-1-2-211-1-1-1-11111-2-21111-2221100-1-1-1-10000000000000
χ1922222-12-2-222-12-12-100-1-2−i3−i3i3i3-1-1-122-1-1-211-1-1-1-1-2000−i3−i3i3i3-2100−i3i31111−i3−i3i3i322-1-1-1-1-2001100−i3i3−i3i30000000000000
χ2022222-12-2-222-12-12-100-1-2−i3−i3i3i3-1-1-122-1-1-211-1-1-1-1-2000−i3−i3i3i3-2100−i3i31111−i3−i3i3i3-2-21111200-1-100i3−i3i3−i30000000000000
χ2122222-12-2-222-12-12-100-1-2i3i3−i3−i3-1-1-122-1-1-211-1-1-1-1-2000i3i3−i3−i3-2100i3−i31111i3i3−i3−i322-1-1-1-1-2001100i3−i3i3−i30000000000000
χ2222222-12-2-222-12-12-100-1-2i3i3−i3−i3-1-1-122-1-1-211-1-1-1-1-2000i3i3−i3−i3-2100i3−i31111i3i3−i3−i3-2-21111200-1-100−i3i3−i3i30000000000000
χ2322222-1-222-22-12-12-122-1-2-1-1-1-1-1-1-1-2-2112-1-111112-222-1-1-1-1-21-2-211-1-111111100−i3−i3i3i3000−i3i300−i3i3i3−i30000000000000
χ2422222-1-222-22-12-12-122-1-2-1-1-1-1-1-1-1-2-2112-1-111112-222-1-1-1-1-21-2-211-1-111111100i3i3−i3−i3000i3−i300i3−i3−i3i30000000000000
χ2522222-1-222-22-12-12-1-2-2-1-21111-1-1-1-2-2112-1-1111122-2-21111-2122-1-1-1-111-1-1-1-100−i3−i3i3i3000−i3i300i3−i3−i3i30000000000000
χ2622222-1-222-22-12-12-1-2-2-1-21111-1-1-1-2-2112-1-1111122-2-21111-2122-1-1-1-111-1-1-1-100i3i3−i3−i3000i3−i300−i3i3i3−i30000000000000
χ2722222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-1-2-211-2111111-2000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i300−i3−i3i3i302-2i3−i300-1-1110000000000000
χ2822222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-1-2-211-2111111-2000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i300i3i3−i3−i30-22−i3i30011-1-10000000000000
χ2922222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-1-2-211-2111111-2000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i300−i3−i3i3i30-22i3−i30011-1-10000000000000
χ3022222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-1-2-211-2111111-2000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i300i3i3−i3−i302-2−i3i300-1-1110000000000000
χ312222-122222-12-12-1222-122222-1-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100000000000220000-1-1-1-100002-1-100
χ322222-122222-12-12-1222-122222-1-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100000000000-2-2000011110000-21100
χ332222-122222-12-12-12-2-2-12-2-2-2-2-1-1-1-1-122-122-1-1-1-1-1-2111111-1211-2-2-1-1-1-1111100000000000220000-1-1-1-10000-21100
χ342222-122222-12-12-12-2-2-12-2-2-2-2-1-1-1-1-122-122-1-1-1-1-1-2111111-1211-2-2-1-1-1-1111100000000000-2-20000111100002-1-100
χ352222-12-222-2-12-12-1222-1-22222-1-1-111-2-2-1221111-1-2-1-1-1-1-1-11-211-2-2-1-111111100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-12-12-1222-1-22222-1-1-111-2-2-1221111-1-2-1-1-1-1-1-11-211-2-2-1-111111100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-12-12-12-2-2-1-2-2-2-2-2-1-1-111-2-2-1221111-121111111-2-1-122-1-111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-12-12-12-2-2-1-2-2-2-2-2-1-1-111-2-2-1221111-121111111-2-1-122-1-111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222-2002-2-222-2-200200000-2-222-22-200022-2-200000000000000000000002i−2i2i−2i2i−2i00000−i2i20000−i2i2−i2i222−2−200000
χ402-22-222-2002-2-222-2-200200000-2-222-22-200022-2-200000000000000000000002i−2i2i−2i2i−2i00000i2−i20000i2−i2i2−i2−2−22200000
χ412-22-222-2002-2-222-2-200200000-2-222-22-200022-2-20000000000000000000000−2i2i−2i2i−2i2i00000−i2i20000−i2i2−i2i2−2−22200000
χ422-22-222-2002-2-222-2-200200000-2-222-22-200022-2-20000000000000000000000−2i2i−2i2i−2i2i00000i2−i20000i2−i2i2−i222−2−200000
χ432-2-22220-220-2-2-2-2222-2202-22-22-2-20000-22-20000202-22-22-20000002-20000000000000000000000000002−22−20002−2
χ442-2-22220-220-2-2-2-2222-2202-22-22-2-20000-22-20000202-22-22-20000002-2000000000000000000000000000−22−22000−22
χ452-2-22220-220-2-2-2-222-2220-22-222-2-20000-22-2000020-22-22-220000002-20000000000000000000000000002−22−2000−22
χ462-2-22220-220-2-2-2-222-2220-22-222-2-20000-22-2000020-22-22-220000002-2000000000000000000000000000−22−220002−2
χ474444-244-4-44-24-24-2400-2-40000-2-2-2-2-2442-4-4-2-2-2-2200000002-4000022220000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-2400-240000-2-2-222-4-42-4-4222220000000-24000022-2-20000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-24-2-21111-2-2-2-2-2-211111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-2-422-1-1-1-1-2-222221111-1-1-1-1000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2001-4−2i3−2i32i32i3111-2-2-2-222211112000i3i3−i3−i32200−2i32i3-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2001-42i32i3−2i3−2i3111-2-2-2-222211112000−i3−i3i3i322002i3−2i3-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2441-4-2-2-2-21112222-2-2-2-1-1-1-1-2-4-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-2-4-41-422221112222-2-2-2-1-1-1-1-2422-1-1-1-122-2-2-2-211-1-11111000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-12000i3i3−i3−i3-2-2002i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-12000−i3−i3i3i3-2-200−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000
χ5744-4-444000044-4-4-4-400400000-44-40000000000000000000000000000000000000000000000000000002-2-2200000
χ5844-4-444000044-4-4-4-400400000-44-4000000000000000000000000000000000000000000000000000000-222-200000
χ594-44-444400-4-4-444-4-400400000-4-44-44-44000-4-4440000000000000000000000000000000000000000000000000000
χ604-44-44-2400-4-424-2-4200-20000022-2-442-200022-2-200000000000000000000000023−23−2323000000000000000000000000
χ614-44-44-2400-4-424-2-4200-20000022-2-442-200022-2-2000000000000000000000000−232323−23000000000000000000000000
χ624-44-44-2-4004-424-2-4200-20000022-24-4-22000-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ634-44-44-2-4004-424-2-4200-20000022-24-4-22000-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ644-44-4-24400-42-4-242-400-20000022-22-2-4400022-2-20000000000000000000000000000000000000006−6−66000000000
χ654-44-4-24400-42-4-242-400-20000022-22-2-4400022-2-2000000000000000000000000000000000000000−666−6000000000
χ664-44-4-24-40042-4-242-400-20000022-2-224-4000-2-222000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ674-44-4-24-40042-4-242-400-20000022-2-224-4000-2-2220000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ684-4-444404-40-4-4-4-444004000004-4-400004-440000-40000000000000-44000000000000000000000000000000000000
χ694-4-444-204-40-42-424-200-20−2i32i32i3−2i3-222000042-20000-4000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ704-4-444-204-40-42-424-200-202i3−2i3−2i32i3-222000042-20000-40002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ714-4-444-20-440-42-424-24-4-20-22-22-2220000-4-220000404-4-22-22000000-22000000000000000000000000000000000000
χ724-4-444-20-440-42-424-2-44-202-22-2-2220000-4-22000040-442-22-2000000-22000000000000000000000000000000000000
χ734-4-44-2404-402-42-4-2400-200000-2220000-2-440000200000000023−23002-20023−2323−23000000000000000000000000000000
χ744-4-44-2404-402-42-4-2400-200000-2220000-2-4400002000000000−2323002-200−2323−2323000000000000000000000000000000
χ754-4-44-240-4402-42-4-244-4-204-44-4-222000024-40000-20-22-22-22000000-22000000000000000000000000000000000000
χ764-4-44-240-4402-42-4-24-44-20-44-44-222000024-40000-202-22-22-2000000-22000000000000000000000000000000000000
χ774-4-44-2-204-402222-2-20010−2i32i32i3−2i31-1-10000-22-23i−3i3i−3i2000i3−i3−i3i30023−2300-113i−3i−33−33000000000000000000000000000000
χ784-4-44-2-204-402222-2-20010−2i32i32i3−2i31-1-10000-22-2−3i3i−3i3i2000i3−i3−i3i300−232300-11−3i3i3−33−3000000000000000000000000000000
χ794-4-44-2-204-402222-2-200102i3−2i3−2i32i31-1-10000-22-23i−3i3i−3i2000−i3i3i3−i300−232300-113i−3i3−33−3000000000000000000000000000000
χ804-4-44-2-204-402222-2-200102i3−2i3−2i32i31-1-10000-22-2−3i3i−3i3i2000−i3i3i3−i30023−2300-11−3i3i−33−33000000000000000000000000000000
χ814-4-44-2-20-4402222-2-24-410-22-221-1-100002-223i−3i3i−3i-20-221-11-10000001-1−3i3i−3i3i3i−3i000000000000000000000000000000
χ824-4-44-2-20-4402222-2-24-410-22-221-1-100002-22−3i3i−3i3i-20-221-11-10000001-13i−3i3i−3i−3i3i000000000000000000000000000000
χ834-4-44-2-20-4402222-2-2-44102-22-21-1-100002-223i−3i3i−3i-202-2-11-110000001-1−3i3i3i−3i−3i3i000000000000000000000000000000
χ844-4-44-2-20-4402222-2-2-44102-22-21-1-100002-22−3i3i−3i3i-202-2-11-110000001-13i−3i−3i3i3i−3i000000000000000000000000000000
χ8588-8-88-400008-4-84-8400-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-484-84-800-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-4-4444400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-4444400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-88-8-4-4800-844-4-44400200000-2-224-44-4000-2-2220000000000000000000000000000000000000000000000000000
χ908-88-8-4-4-800844-4-44400200000-2-22-44-4400022-2-20000000000000000000000000000000000000000000000000000

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