Finite Group Databasebeta

← Group #11779928

Character table — Group #11779928

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
χ511111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222-2-2222-2-22222-2-2-2-22-2-222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-222-2-2-22222-222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-222222-2-2-22200002222-20-2000000-2-2-2-2-200000000222222-20000-2-200000000000000000
χ12222222-22-22222222200-222222-2-2-22200002222-20-2000000-2-2-2-2-200000000-2-2-2-2-2-2200002200000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2020000002-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2020000002-2-222000000000000000-220000-2-2220000000000000
χ1522222-12222-122-12-1-1222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-12222-122-12-1-1222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-12222-122-12-1-1-2-22-1-1-1-1-12-1-1221111-1-1-1-12-22-2-2-2-211-1-1-1-1-11111111122-1-1-1-12-2-200-1-111110000000000000
χ1822222-12222-122-12-1-1-2-22-1-1-1-1-12-1-1221111-1-1-1-12-22-2-2-2-211-1-1-1-1-111111111-2-21111-2220011-1-1-1-10000000000000
χ1922222-12-22-2-122-12-1-122-2-1-1-1112-1-1-2-2-1-1-1-111112-2-222-2-2111-1-111-1-1-1-1111100−i3−i3i3i300000−i3i3−i3i3−i3i30000000000000
χ2022222-12-22-2-122-12-1-122-2-1-1-1112-1-1-2-2-1-1-1-111112-2-222-2-2111-1-111-1-1-1-1111100i3i3−i3−i300000i3−i3i3−i3i3−i30000000000000
χ2122222-12-22-2-122-12-1-1-2-2-2-1-1-1112-1-1-2-21111111122-2-2-222-1-11-1-1111111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3i3−i30000000000000
χ2222222-12-22-2-122-12-1-1-2-2-2-1-1-1112-1-1-2-21111111122-2-2-222-1-11-1-1111111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3−i3i30000000000000
χ2322222-1-22-22-122-12-1-100-2-1-1-1-1-1-21122−i3−i3i3i3-1-1-1-1-20-20000−i3i311111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2000011−i3i3i3−i30000000000000
χ2422222-1-22-22-122-12-1-100-2-1-1-1-1-1-21122−i3−i3i3i3-1-1-1-1-20-20000−i3i311111−i3−i3i3i3−i3−i3i3i3-2-2111120000-1-1i3−i3−i3i30000000000000
χ2522222-1-22-22-122-12-1-100-2-1-1-1-1-1-21122i3i3−i3−i3-1-1-1-1-20-20000i3−i311111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2000011i3−i3−i3i30000000000000
χ2622222-1-22-22-122-12-1-100-2-1-1-1-1-1-21122i3i3−i3−i3-1-1-1-1-20-20000i3−i311111i3i3−i3−i3i3i3−i3−i3-2-2111120000-1-1−i3i3i3−i30000000000000
χ2722222-1-2-2-2-2-122-12-1-1002-1-1-111-211-2-2−i3−i3i3i31111-2020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-200i3−i3-1-1110000000000000
χ2822222-1-2-2-2-2-122-12-1-1002-1-1-111-211-2-2−i3−i3i3i31111-2020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-2200−i3i311-1-10000000000000
χ2922222-1-2-2-2-2-122-12-1-1002-1-1-111-211-2-2i3i3−i3−i31111-2020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-2200i3−i311-1-10000000000000
χ3022222-1-2-2-2-2-122-12-1-1002-1-1-111-211-2-2i3i3−i3−i31111-2020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-200−i3i3-1-1110000000000000
χ312222-1222222-1-12-12-1222-1-1-122-122-1-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-1222222-1-12-12-1222-1-1-122-122-1-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-1222222-1-12-12-1-2-22-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-2-11111-2-22-1-1-1-11111111100000000022000000-1-1-1-10000-21100
χ342222-1222222-1-12-12-1-2-22-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-2-11111-2-22-1-1-1-111111111000000000-2-2000000111100002-1-100
χ352222-122-22-22-1-12-12-122-2-1-1-1-2-2-1221122221111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-22-1-12-12-122-2-1-1-1-2-2-1221122221111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-22-1-12-12-1-2-2-2-1-1-1-2-2-12211-2-2-2-21111-12111-1-122-2-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-22-1-12-12-1-2-2-2-1-1-1-2-2-12211-2-2-2-21111-12111-1-122-2-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-222-2020-22-22-2-222i−2i0-22-200-22-2002i−2i2i−2i00002002i−2i000002-2002i−2i2i−2i000000000000000000000000022−2−2000−i2i2
χ4022-2-222-2020-22-22-2-222i−2i0-22-200-22-2002i−2i2i−2i00002002i−2i000002-2002i−2i2i−2i0000000000000000000000000−2−222000i2−i2
χ4122-2-222-2020-22-22-2-22−2i2i0-22-200-22-200−2i2i−2i2i0000200−2i2i000002-200−2i2i−2i2i000000000000000000000000022−2−2000i2−i2
χ4222-2-222-2020-22-22-2-22−2i2i0-22-200-22-200−2i2i−2i2i0000200−2i2i000002-200−2i2i−2i2i0000000000000000000000000−2−222000−i2i2
χ432-22-2220-2022-2-2-22-220002-2-22-20002-2000022-2-200000000000000000000002-22-22-2000−i2i2000000−i2i2−i2i2−i2i2−i2i200000
χ442-22-2220-2022-2-2-22-220002-2-22-20002-2000022-2-200000000000000000000002-22-22-2000i2−i2000000i2−i2i2−i2i2−i2i2−i200000
χ452-22-2220-2022-2-2-22-220002-2-22-20002-2000022-2-20000000000000000000000-22-22-22000−i2i2000000−i2i2−i2i2i2−i2i2−i200000
χ462-22-2220-2022-2-2-22-220002-2-22-20002-2000022-2-20000000000000000000000-22-22-22000i2−i2000000i2−i2i2−i2−i2i2−i2i200000
χ474444-24-44-444-2-24-24-200-4-2-2-2442-4-4-2-20000-2-2-2-2202000000-4222200000000000000000000000000000000000000
χ484444-24-4-4-4-44-2-24-24-2004-2-2-2-4-42-4-4220000222220-2000000422-2-200000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-2-4-2222222-21111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-411122-2-2-222-2-2-2-2-1-1-1-1-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-24222-2-2-2-2211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222-2-2−2i3−2i32i32i311112020000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222-2-22i32i3−2i3−2i3111120200002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120-200002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-120-20000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-44440-40-44-44-4-44000-44-4004-440000000000-4000000000-440000000000000000000000000000000000000000
χ5844-4-44-240-4024-4-2-42-20002-220042-20023−23−23230000-40000000002-20023−23−23230000000000000000000000000000000000
χ5944-4-44-240-4024-4-2-42-20002-220042-200−232323−230000-40000000002-200−232323−230000000000000000000000000000000000
χ6044-4-44-2-404024-4-2-42-24i−4i02-2200-4-2200−2i2i−2i2i00004004i−4i00000-2200−2i2i−2i2i0000000000000000000000000000000000
χ6144-4-44-2-404024-4-2-42-2−4i4i02-2200-4-22002i−2i2i−2i0000400−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000
χ6244-4-4-2440-40-4-2242-4-20002-2200-2-44000000000020000−2i32i30002-2000000−2i32i3−2i32i3000000000000000000000000000000
χ6344-4-4-2440-40-4-2242-4-20002-2200-2-440000000000200002i3−2i30002-20000002i3−2i32i3−2i3000000000000000000000000000000
χ6444-4-4-24-4040-4-2242-4-24i−4i02-220024-4004i−4i4i−4i0000-200−2i2i00000-2200−2i2i−2i2i0000000000000000000000000000000000
χ6544-4-4-24-4040-4-2242-4-2−4i4i02-220024-400−4i4i−4i4i0000-2002i−2i00000-22002i−2i2i−2i0000000000000000000000000000000000
χ6644-4-4-2-240-402-22-2221000-11-100-22-20023−23−23233i−3i3i−3i20000−2i32i3000-113i−3i−333−3i3−i3i3−i3000000000000000000000000000000
χ6744-4-4-2-240-402-22-2221000-11-100-22-20023−23−2323−3i3i−3i3i200002i3−2i3000-11−3i3i−333−3−i3i3−i3i3000000000000000000000000000000
χ6844-4-4-2-240-402-22-2221000-11-100-22-200−232323−233i−3i3i−3i200002i3−2i3000-113i−3i3−3−33−i3i3−i3i3000000000000000000000000000000
χ6944-4-4-2-240-402-22-2221000-11-100-22-200−232323−23−3i3i−3i3i20000−2i32i3000-11−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000
χ7044-4-4-2-2-40402-22-22214i−4i0-11-1002-2200−2i2i−2i2i3i−3i3i−3i-200−2i2i000001-1−3i3ii−ii−i-333-3000000000000000000000000000000
χ7144-4-4-2-2-40402-22-22214i−4i0-11-1002-2200−2i2i−2i2i−3i3i−3i3i-200−2i2i000001-13i−3ii−ii−i3-3-33000000000000000000000000000000
χ7244-4-4-2-2-40402-22-2221−4i4i0-11-1002-22002i−2i2i−2i3i−3i3i−3i-2002i−2i000001-1−3i3i−ii−ii3-3-33000000000000000000000000000000
χ7344-4-4-2-2-40402-22-2221−4i4i0-11-1002-22002i−2i2i−2i−3i3i−3i3i-2002i−2i000001-13i−3i−ii−ii-333-3000000000000000000000000000000
χ744-44-444040-44-4-4-44-440004-4-4-44000-440000-4-4440000000000000000000000000000000000000000000000000000
χ754-44-44-2040-4-2-4-4242-2000-2222-2000-44000022-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ764-44-44-2040-4-2-4-4242-2000-2222-2000-44000022-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ774-44-44-20-404-2-4-4242-2000-222-220004-40000-2-22200000000000000000000004-4-22-22000000000000000000000000
χ784-44-44-20-404-2-4-4242-2000-222-220004-40000-2-2220000000000000000000000-442-22-2000000000000000000000000
χ794-44-4-24040-4422-4-2-4-2000-222-440002-2000022-2-20000000000000000000000000000000000000006−6−66000000000
χ804-44-4-24040-4422-4-2-4-2000-222-440002-2000022-2-2000000000000000000000000000000000000000−666−6000000000
χ814-44-4-240-404422-4-2-4-2000-2224-4000-220000-2-2220000000000000000000000000000000−2i22i2000000i2−i2i2−i2000000000
χ824-44-4-240-404422-4-2-4-2000-2224-4000-220000-2-22200000000000000000000000000000002i2−2i2000000−i2i2−i2i2000000000
χ834-4-44440000-4-44-4-444000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ844-4-44440000-4-44-4-444000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ858-88-8-4-4080-8-4444-4420002-2-24-40004-40000-2-2220000000000000000000000000000000000000000000000000000
χ868-88-8-4-40-808-4444-4420002-2-2-44000-44000022-2-20000000000000000000000000000000000000000000000000000
χ878-8-888-400004-884-8-4-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480000-84-4-848-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4000044-444-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-4000044-444-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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