Finite Group Databasebeta

← Group #11872520

Character table — Group #11872520

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666634444446661212121212121212121212121212121212121212121212121212121212121212121288884444444488242424242424242422244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-11-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-11111-1-1-1-1-111-111-1-111
χ71111111111111111-1-11-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-11-1-1-1-11111-111-11111-1-1
χ81111111111111111-1-11-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111
χ9111111111111111-111-1-1-1111-1-11-1-11-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-1-111111111-11-11-1-111-1-111-1-1-1-1-1-111-111-1
χ10111111111111111-111-1-1-1111-1-11-1-11-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-11-11
χ11111111111111111-111-1-1-1111-1-11-1-11-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-11111-1-11111-1-11-11-1
χ12111111111111111-111-1-1-1111-1-11-1-11-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-1-1-1111-1-11
χ13111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-11111111111111-11-1-1-111-1-111-1-1-111-1-1-11-1-11
χ14111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-1-1111-1-11111-11-1
χ15111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-11111-1-11-1-1111-11-11
χ16111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-111-111-1-1-1-111-1
χ17222222-2-22222222200-20022222-222-22222-2-2-20000-20000-2-2-2-200000000000022-2-200000000000000-2002000000
χ18222222-2-22222222200-20022222-222-22222-2-2-20000-20000-2-2-2-2000000000000-2-22200000000000000200-2000000
χ19222222-2-22222222-200200222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22200000000000022-2-200000000000000200-2000000
χ20222222-2-22222222-200200222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-222000000000000-2-22200000000000000-2002000000
χ2122222-12222-1-1-12-1222222-1-1-122-1-1-12-1-1-1-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122000000200220-1-1-1-10000000000-1-100
χ2222222-12222-1-1-12-1222222-1-1-122-1-1-12-1-1-1-1-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-200-2-20111100000000001100
χ2322222-12222-1-1-12-12-2-22-2-2-1-1-122-1-1-12-1-1-1-1-12211-2-2-111-2-2-1-1-1-11111111122000000-200-220-1-1-1-100000000001100
χ2422222-12222-1-1-12-12-2-22-2-2-1-1-122-1-1-12-1-1-1-1-12211-2-2-111-2-2-1-1-1-111111111-2-20000002002-2011110000000000-1-100
χ2522222-12222-1-1-12-1-222-2-2-2-1-1-1-2-2-11121111-12-2-1-1-2-211122-1-111-1-1-1-1111122000000-2002-20-1-11100000000001-100
χ2622222-12222-1-1-12-1-222-2-2-2-1-1-1-2-2-11121111-12-2-1-1-2-211122-1-111-1-1-1-11111-2-2000000200-22011-1-10000000000-1100
χ2722222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2-11121111-12-211221-1-1-2-2-1-1111111-1-1-1-122000000200-2-20-1-1110000000000-1100
χ2822222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2-11121111-12-211221-1-1-2-2-1-1111111-1-1-1-1-2-2000000-20022011-1-100000000001-100
χ292222-1222-1-1222-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000220020000-1-1-1-100000000-1-1
χ302222-1222-1-1222-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000-2-200-2000011110000000011
χ312222-1222-1-1222-1-12-2-22-2-2-1-1-1-1-1222-1-1-1-1-12-1-1-2-2112-2-211-1-1-1-111111111002200000-2-20020000-1-1-1-10000000011
χ322222-1222-1-1222-1-12-2-22-2-2-1-1-1-1-1222-1-1-1-1-12-1-1-2-2112-2-211-1-1-1-11111111100-2-2000002200-20000111100000000-1-1
χ332222-1222-1-1222-1-1-222-2-2-2-1-1-1112-2-2-111112-112211-2-2-2-1-1-1-111-1-1-1-111110022000002-200-20000-1-11100000000-11
χ342222-1222-1-1222-1-1-222-2-2-2-1-1-1112-2-2-111112-112211-2-2-2-1-1-1-111-1-1-1-1111100-2-200000-22002000011-1-1000000001-1
χ352222-1222-1-1222-1-1-2-2-2-222-1-1-1112-2-2-111112-11-2-2-1-1-22211-1-1111111-1-1-1-1002200000-2200-20000-1-111000000001-1
χ362222-1222-1-1222-1-1-2-2-2-222-1-1-1112-2-2-111112-11-2-2-1-1-22211-1-1111111-1-1-1-100-2-2000002-2002000011-1-100000000-11
χ372-22-2222-2-2-22-2-22200002i−2i-22-200-200200002-20002i−2i02i−2i002-20000002i2i−2i−2i00002i−2i2i−2i0000000000000002-20000000
χ382-22-2222-2-2-22-2-22200002i−2i-22-200-200200002-20002i−2i02i−2i002-20000002i2i−2i−2i0000−2i2i−2i2i000000000000000-220000000
χ392-22-2222-2-2-22-2-2220000−2i2i-22-200-200200002-2000−2i2i0−2i2i002-2000000−2i−2i2i2i00002i−2i2i−2i000000000000000-220000000
χ402-22-2222-2-2-22-2-2220000−2i2i-22-200-200200002-2000−2i2i0−2i2i002-2000000−2i−2i2i2i0000−2i2i−2i2i0000000000000002-20000000
χ412-22-222-22-2-22-2-22202-2000-22-200200-20000-2202-2000002-2-220022-2-2000000002i−2i−2i2i0000000000000000002i−2i0000
χ422-22-222-22-2-22-2-22202-2000-22-200200-20000-2202-2000002-2-220022-2-200000000−2i2i2i−2i000000000000000000−2i2i0000
χ432-22-222-22-2-22-2-2220-22000-22-200200-20000-220-2200000-22-2200-2-222000000002i−2i−2i2i000000000000000000−2i2i0000
χ442-22-222-22-2-22-2-2220-22000-22-200200-20000-220-2200000-22-2200-2-22200000000−2i2i2i−2i0000000000000000002i−2i0000
χ4544444-2-4-444-2-2-24-2400-400-2-2-2442-2-2-4-2-2-2-22-4-400002000022220000000000000000000000000000000000000000
χ4644444-2-4-444-2-2-24-2-400400-2-2-2-4-4222-422222-440000-2000022-2-20000000000000000000000000000000000000000
χ474444-24-4-4-2-2444-2-2400-400-2-2-2-2-2-4442-2-2-2-2-4220000-4000022220000000000000000000000000000000000000000
χ484444-24-4-4-2-2444-2-2-400400-2-2-222-4-4-422222-42-200004000022-2-20000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-21444444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-214-4-44-4-4111-2-2-2-2-2-21111-2-2-22222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-444-4-4-411122-222-2-1-1-1-1-2-22-2-222222-2-211-1-11111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4-4-44411122-222-2-1-1-1-1-2-2222-2-22-2-22211-1-1-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-21400-400111-2-22-2-221111222000020000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-21400-400111-2-22-2-221111222000020000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-400400111222222-1-1-1-122-20000-20000-1-1113-33-3-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-400400111222222-1-1-1-122-20000-20000-1-111-33-333-33-300000000000000000000000000000000
χ5744-4-444004-4-44-4-440000004-4-400000000000000000000000000000000000022−220000000000000022−22000000000000
χ5844-4-444004-4-44-4-440000004-4-4000000000000000000000000000000000000−222200000000000000−2222000000000000
χ5944-4-4-2400-22-44-42-2000000-222−2i32i30000−2i3−2i32i32i30000000000000000000000000022−2200000000000000−22i6−i60000000000
χ6044-4-4-2400-22-44-42-2000000-222−2i32i30000−2i3−2i32i32i300000000000000000000000000−2222000000000000002−2−i6i60000000000
χ6144-4-4-2400-22-44-42-2000000-2222i3−2i300002i32i3−2i3−2i30000000000000000000000000022−2200000000000000−22−i6i60000000000
χ6244-4-4-2400-22-44-42-2000000-2222i3−2i300002i32i3−2i3−2i300000000000000000000000000−2222000000000000002−2i6−i60000000000
χ634-44-44-24-4-4-4-2224-200004i−4i2-220020040000-2-40004i−4i0−2i2i00-22000000−2i−2i2i2i00000000000000000000000000000000
χ644-44-44-24-4-4-4-2224-20000−4i4i2-220020040000-2-4000−4i4i02i−2i00-220000002i2i−2i−2i00000000000000000000000000000000
χ654-44-44-2-44-4-4-2224-204-40002-2200-200-40000240-22000004-42-200-2-222000000000000000000000000000000000000
χ664-44-44-2-44-4-4-2224-20-440002-2200-200-400002402-200000-442-20022-2-2000000000000000000000000000000000000
χ674-44-4-244-4224-4-4-2-200004i−4i2-2200-400-2000042000−2i2i04i−4i00-22000000−2i−2i2i2i00000000000000000000000000000000
χ684-44-4-244-4224-4-4-2-20000−4i4i2-2200-400-20000420002i−2i0−4i4i00-220000002i2i−2i−2i00000000000000000000000000000000
χ694-44-4-24-44224-4-4-2-204-40002-220040020000-4-204-400000-222-200-2-222000000000000000000000000000000000000
χ704-44-4-24-44224-4-4-2-20-440002-220040020000-4-20-44000002-22-20022-2-2000000000000000000000000000000000000
χ714-44-4-2-24-422-222-2100004i−4i-11-100200-23i−3i3i−3i-22000−2i2i0−2i2i001-13i−3i3-3-33ii−i−i00000000000000000000000000000000
χ724-44-4-2-24-422-222-2100004i−4i-11-100200-2−3i3i−3i3i-22000−2i2i0−2i2i001-1−3i3i-333-3ii−i−i00000000000000000000000000000000
χ734-44-4-2-24-422-222-210000−4i4i-11-100200-23i−3i3i−3i-220002i−2i02i−2i001-13i−3i-333-3−i−iii00000000000000000000000000000000
χ744-44-4-2-24-422-222-210000−4i4i-11-100200-2−3i3i−3i3i-220002i−2i02i−2i001-1−3i3i3-3-33−i−iii00000000000000000000000000000000
χ754-44-4-2-2-4422-222-2104-4000-11-100-20023i−3i3i−3i2-20-2200000-22-11−3i3i11-1-13i−3i−3i3i00000000000000000000000000000000
χ764-44-4-2-2-4422-222-2104-4000-11-100-2002−3i3i−3i3i2-20-2200000-22-113i−3i11-1-1−3i3i3i−3i00000000000000000000000000000000
χ774-44-4-2-2-4422-222-210-44000-11-100-20023i−3i3i−3i2-202-2000002-2-11−3i3i-1-111−3i3i3i−3i00000000000000000000000000000000
χ784-44-4-2-2-4422-222-210-44000-11-100-2002−3i3i−3i3i2-202-2000002-2-113i−3i-1-1113i−3i−3i3i00000000000000000000000000000000
χ794-4-444400-44-4-44-44000000-4-440000000000000000000000000000000000−2i22i2000000000000−2i22i20000000000000000
χ804-4-444400-44-4-44-44000000-4-4400000000000000000000000000000000002i2−2i20000000000002i2−2i20000000000000000
χ814-4-444-200-4422-2-4-200000022-200023−23023−23−2323000000000000000000000000−2i22i2000000000000i2−i2i6−i600000000000000
χ824-4-444-200-4422-2-4-200000022-200023−23023−23−23230000000000000000000000002i2−2i2000000000000−i2i2−i6i600000000000000
χ834-4-444-200-4422-2-4-200000022-2000−23230−232323−23000000000000000000000000−2i22i2000000000000i2−i2−i6i600000000000000
χ844-4-444-200-4422-2-4-200000022-2000−23230−232323−230000000000000000000000002i2−2i2000000000000−i2i2i6−i600000000000000
χ8588-8-88-4008-84-44-8-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-444-44420000002-2-2−4i34i300002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-444-44420000002-2-24i3−4i30000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-4-8-884-400000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442000000-2-2200043−430−232323−2300000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442000000-2-22000−4343023−23−232300000000000000000000000000000000000000000000000000000000

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