Finite Group Databasebeta

← Group #11779967

Character table — Group #11779967

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122233444466666634446661212121212121212121212121212121241212121212121212121212121212121212121212226666444881212121212122424242488884121288
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
χ511111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222200-22222222-2-2-200002222-20-20000-200-2-2-2-20000000022222200-200-2-200000000000000000
χ102222222-2-22222222200-22222222-2-2-200002222-20-20000-200-2-2-2-200000000-2-2-2-2-2-2002002200000000000000000
χ11222222-222-2222222222-2222-2-2-2-22222222-2-2-2-22-2-222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ12222222-222-22222222-2-2-2222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-222-22222-2-2-2-2-2-22222000000000000000000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2020000200-2-222000000000000002-20000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2020000200-2-22200000000000000-2200000-2-2220000000000000
χ1522222-122222-12-12-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-122222-12-12-1-1222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-122222-12-12-1-1-2-22-1-1-122-1-1-1-121111-1-1-1-12-22-2-211-1-2-2-1-1-1-11111111122-1-1-1-1-2-2200-1-111110000000000000
χ1822222-122222-12-12-1-1-2-22-1-1-122-1-1-1-121111-1-1-1-12-22-2-211-1-2-2-1-1-1-111111111-2-2111122-20011-1-1-1-10000000000000
χ1922222-12-2-222-12-12-1-100-2-1-1-122-1-111-2−i3−i3i3i3-1-1-1-1-20-200−i3i31001111−i3−i3i3i3−i3−i3i3i322-1-1-1-100-20011−i3i3−i3i30000000000000
χ2022222-12-2-222-12-12-1-100-2-1-1-122-1-111-2−i3−i3i3i3-1-1-1-1-20-200−i3i31001111−i3−i3i3i3−i3−i3i3i3-2-2111100200-1-1i3−i3i3−i30000000000000
χ2122222-12-2-222-12-12-1-100-2-1-1-122-1-111-2i3i3−i3−i3-1-1-1-1-20-200i3−i31001111i3i3−i3−i3i3i3−i3−i322-1-1-1-100-20011i3−i3i3−i30000000000000
χ2222222-12-2-222-12-12-1-100-2-1-1-122-1-111-2i3i3−i3−i3-1-1-1-1-20-200i3−i31001111i3i3−i3−i3i3i3−i3−i3-2-2111100200-1-1−i3i3−i3i30000000000000
χ2322222-1-222-22-12-12-1-122-2-1-1-1-2-211-1-12-1-1-1-111112-2-222111-2-2-1-111-1-1-1-1111100−i3−i3i3i300000−i3i3−i3i3i3−i30000000000000
χ2422222-1-222-22-12-12-1-122-2-1-1-1-2-211-1-12-1-1-1-111112-2-222111-2-2-1-111-1-1-1-1111100i3i3−i3−i300000i3−i3i3−i3−i3i30000000000000
χ2522222-1-222-22-12-12-1-1-2-2-2-1-1-1-2-211-1-121111111122-2-2-2-1-1122-1-1111111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3−i3i30000000000000
χ2622222-1-222-22-12-12-1-1-2-2-2-1-1-1-2-211-1-121111111122-2-2-2-1-1122-1-1111111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3i3−i30000000000000
χ2722222-1-2-2-2-22-12-12-1-1002-1-1-1-2-21111-2−i3−i3i3i31111-20200i3−i3-10011-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i32-2000i3−i3-1-1110000000000000
χ2822222-1-2-2-2-22-12-12-1-1002-1-1-1-2-21111-2−i3−i3i3i31111-20200i3−i3-10011-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i3-22000−i3i311-1-10000000000000
χ2922222-1-2-2-2-22-12-12-1-1002-1-1-1-2-21111-2i3i3−i3−i31111-20200−i3i3-10011-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i3-22000i3−i311-1-10000000000000
χ3022222-1-2-2-2-22-12-12-1-1002-1-1-1-2-21111-2i3i3−i3−i31111-20200−i3i3-10011-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i32-2000−i3i3-1-1110000000000000
χ312222-122222-12-12-12-1222-1-1-1-1-12222-12222-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-122222-12-12-12-1222-1-1-1-1-12222-12222-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-122222-12-12-12-1-2-22-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-2-111-2-2211-1-1-1-11111111100000000022000000-1-1-1-10000-21100
χ342222-122222-12-12-12-1-2-22-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-2-111-2-2211-1-1-1-111111111000000000-2-2000000111100002-1-100
χ352222-12-222-2-12-12-12-122-2-1-1-111-2-222-122221111-1-21-1-1-2-2-211-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-12-12-12-122-2-1-1-111-2-222-122221111-1-21-1-1-2-2-211-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-12-12-12-1-2-2-2-1-1-111-2-222-1-2-2-2-21111-1211122-2-1-1-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-12-12-12-1-2-2-2-1-1-111-2-222-1-2-2-2-21111-1211122-2-1-1-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-222200-222-2-2-2-220002-2-22-22-2000000022-2-200000000000000000000002-22-22-20002−20000002−22−222−2−200000
χ4022-2-222200-222-2-2-2-220002-2-22-22-2000000022-2-200000000000000000000002-22-22-2000−22000000−22−22−2−22200000
χ4122-2-222200-222-2-2-2-220002-2-22-22-2000000022-2-20000000000000000000000-22-22-220002−20000002−22−2−2−22200000
χ4222-2-222200-222-2-2-2-220002-2-22-22-2000000022-2-20000000000000000000000-22-22-22000−22000000−22−2222−2−200000
χ432-2-222202-20-2-2-222-222i−2i0-22-200002-222i−2i2i−2i0000-2002i−2i000002-2002i−2i2i−2i0000000000000000000000000−i2i2−i2i20002−2
χ442-2-222202-20-2-2-222-222i−2i0-22-200002-222i−2i2i−2i0000-2002i−2i000002-2002i−2i2i−2i0000000000000000000000000i2−i2i2−i2000−22
χ452-2-222202-20-2-2-222-22−2i2i0-22-200002-22−2i2i−2i2i0000-200−2i2i000002-200−2i2i−2i2i0000000000000000000000000−i2i2−i2i2000−22
χ462-2-222202-20-2-2-222-22−2i2i0-22-200002-22−2i2i−2i2i0000-200−2i2i000002-200−2i2i−2i2i0000000000000000000000000i2−i2i2−i20002−2
χ474444-244-4-44-24-24-24-200-4-2-2-2-2-244-4-420000-2-2-2-22020000-400222200000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-2004-2-2-222-4-4-4-420000222220-2000040022-2-200000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-2-4-22222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2100-4111-2-2-2-2222−2i3−2i32i32i3111120200−2i32i3200-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2100-4111-2-2-2-22222i32i3−2i3−2i31111202002i3−2i3200-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2144-41112222-2-2-2-2-2-2-2-1-1-1-1-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120-2002i3−2i3-200-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-120-200−2i32i3-200-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-444-400444-4-4-4-440004-4-4-44-440000000-4-4440000000000000000000000000000000000000000000000000000
χ5844-4-44-2400-44-2-42-42-2000-2224-4-220000000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ5944-4-44-2400-44-2-42-42-2000-2224-4-220000000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ6044-4-44-2-40044-2-42-42-2000-222-442-2000000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ6144-4-44-2-40044-2-42-42-2000-222-442-2000000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ6244-4-4-24400-4-242-42-4-2000-222-224-40000000-2-222000000000000000000000000000000022−22000000−22−22000000000
χ6344-4-4-24400-4-242-42-4-2000-222-224-40000000-2-2220000000000000000000000000000000−22220000002−22−2000000000
χ6444-4-4-24-4004-242-42-4-2000-2222-2-44000000022-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ6544-4-4-24-4004-242-42-4-2000-2222-2-44000000022-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ664-44-4440000-4-44-4-444000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ674-44-4440000-4-44-4-444000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ684-4-44440-440-4-4-444-44000-44-40000-44-4000000004000000000-440000000000000000000000000000000000000000
χ694-4-444-204-40-42-4-242-24i−4i02-220000-224−2i2i−2i2i0000-4004i−4i00000-2200−2i2i−2i2i0000000000000000000000000000000000
χ704-4-444-204-40-42-4-242-2−4i4i02-220000-2242i−2i2i−2i0000-400−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000
χ714-4-444-20-440-42-4-242-20002-2200002-2-423−23−2323000040000000002-20023−23−23230000000000000000000000000000000000
χ724-4-444-20-440-42-4-242-20002-2200002-2-4−232323−23000040000000002-200−232323−230000000000000000000000000000000000
χ734-4-44-2404-402-424-2-4-24i−4i02-2200004-4-24i−4i4i−4i0000200−2i2i00000-2200−2i2i−2i2i0000000000000000000000000000000000
χ744-4-44-2404-402-424-2-4-2−4i4i02-2200004-4-2−4i4i−4i4i00002002i−2i00000-22002i−2i2i−2i0000000000000000000000000000000000
χ754-4-44-240-4402-424-2-4-20002-220000-44200000000-20000000−2i32i32-2000000−2i32i3−2i32i3000000000000000000000000000000
χ764-4-44-240-4402-424-2-4-20002-220000-44200000000-200000002i3−2i32-20000002i3−2i32i3−2i3000000000000000000000000000000
χ774-4-44-2-204-40222-2-2214i−4i0-11-10000-22-2−2i2i−2i2i3i−3i3i−3i200−2i2i000001-13i−3ii−ii−i3-3-33000000000000000000000000000000
χ784-4-44-2-204-40222-2-2214i−4i0-11-10000-22-2−2i2i−2i2i−3i3i−3i3i200−2i2i000001-1−3i3ii−ii−i-333-3000000000000000000000000000000
χ794-4-44-2-204-40222-2-221−4i4i0-11-10000-22-22i−2i2i−2i3i−3i3i−3i2002i−2i000001-13i−3i−ii−ii-333-3000000000000000000000000000000
χ804-4-44-2-204-40222-2-221−4i4i0-11-10000-22-22i−2i2i−2i−3i3i−3i3i2002i−2i000001-1−3i3i−ii−ii3-3-33000000000000000000000000000000
χ814-4-44-2-20-440222-2-221000-11-100002-2223−23−23233i−3i3i−3i-200000002i3−2i3-11−3i3i−333−3−i3i3−i3i3000000000000000000000000000000
χ824-4-44-2-20-440222-2-221000-11-100002-2223−23−2323−3i3i−3i3i-20000000−2i32i3-113i−3i−333−3i3−i3i3−i3000000000000000000000000000000
χ834-4-44-2-20-440222-2-221000-11-100002-22−232323−233i−3i3i−3i-20000000−2i32i3-11−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000
χ844-4-44-2-20-440222-2-221000-11-100002-22−232323−23−3i3i−3i3i-200000002i3−2i3-113i−3i3−3−33−i3i3−i3i3000000000000000000000000000000
χ8588-8-8-4-4800-8-4-4444420002-2-2-44-44000000022-2-20000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-8008-4-4444420002-2-24-44-40000000-2-2220000000000000000000000000000000000000000000000000000
χ878-88-88-40000-8484-8-4-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800004-8-4-848-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4000044-444-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-88-8-4-4000044-444-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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