Finite Group Databasebeta

← Group #11872534

Character table — Group #11872534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242444446688121224242424121212121244812121212121212242422441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-111111-111111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-11111111-1-11111-111-1-11-1-1111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1111-1-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-11111-11-1-1-1-111-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-11-111-1-1111111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111111-1-111-11-11-1-111-1-1-1-111-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-111-111-1-111-1-111111-1-111-1-11-11111-1-111-1-111-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000200-200220022000000000000-20000000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-200200-2-20022000000000000200000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000200-2002200-2-2000000000000-200000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000-200200-2-200-2-200000000000020000000000-22000
χ2122222-122-122-1-12-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-1022-1-1-10000-1-10000-100
χ2222222-122-122-1-12-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-10-2-21110000110000100
χ2322222-122-122-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-222-2-2-1-1-1-1111111200222-1-1000000001-1-1110-2-2-1-1-10000110000100
χ2422222-122-122-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-222-2-2-1-1-1-1111111-200-2-2-211000000001-1-1110221110000-1-10000-100
χ2522222-122-122-1-12-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12002-2-2-1-100000000111110-22-1110000-1-10000100
χ2622222-122-122-1-12-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-200-22211000000001111102-21-1-10000110000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-2000000002-2-22211-1-11111112002-2-2-1-100000000-111-1-102-2-1110000110000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-2000000002-2-22211-1-1111111-200-2221100000000-111-1-10-221-1-10000-1-10000100
χ292222-12222-1-122-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-1200000-1-1-1-1000000000
χ302222-12222-1-122-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-1-2000001111000000000
χ312222-12222-1-122-1-122-1-1-1-2-22-12-111112222-1-1-1-1-2-1-11122-1-1-2-2111102200000-2-2-1-11111-2-1-111-200000-1-111000000000
χ322222-12222-1-122-1-122-1-1-1-2-22-12-11111-2-2-2-21111-2-1-11122-1-1-2-211110-2-2000002211-1-1-1-1-2-1-11120000011-1-1000000000
χ332222-12222-1-122-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-21111-2000001111000000000
χ342222-12222-1-122-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-102200000-2-2111111-21111200000-1-1-1-1000000000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-1211-1-1-2-2-1-1-2-211110-2-200000-2-2-1-11111211-1-120000011-1-1000000000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-21111211-1-1-2-2-1-1-2-21111022000002211-1-1-1-1211-1-1-200000-1-111000000000
χ3722-2-2222-2-2-2-22-22200-22-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-200000000002i−2i00002i−2i00000000000002i−2i0000002-200000
χ3822-2-2222-2-2-2-22-22200-22-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000000000−2i2i00002i−2i0000000000000−2i2i000000-2200000
χ3922-2-2222-2-2-2-22-22200-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-200000000002i−2i0000−2i2i00000000000002i−2i000000-2200000
χ4022-2-2222-2-2-2-22-22200-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000000000−2i2i0000−2i2i0000000000000−2i2i0000002-200000
χ4122-2-222-22-2-2-22-2222i−2i-22-20022-2-200002i−2i−2i2i−2i−2i2i2i02i−2i002i−2i-2200000002-200000002i−2i000002i−2i000000002-200000000000
χ4222-2-222-22-2-2-22-2222i−2i-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i02i−2i002i−2i-220000000-220000000−2i2i000002i−2i00000000-2200000000000
χ4322-2-222-22-2-2-22-222−2i2i-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0−2i2i00−2i2i-220000000-2200000002i−2i00000−2i2i00000000-2200000000000
χ4422-2-222-22-2-2-22-222−2i2i-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0−2i2i00−2i2i-2200000002-20000000−2i2i00000−2i2i000000002-200000000000
χ4522-2-2-12-22-2112-2-1-12i−2i1-11002-1-21−i3−i3i3i32i−2i−2i2iii−i−i0−ii3−32i−2i1-100−i3−i3i3i302-20000000−ii33−3−30−ii3−3000000-11−i3i3000000000
χ4622-2-2-12-22-2112-2-1-12i−2i1-11002-1-21−i3−i3i3i3−2i2i2i−2i−i−iii0−ii3−32i−2i1-100−i3−i3i3i30-220000000i−i−3−3330−ii3−30000001-1i3−i3000000000
χ4722-2-2-12-22-2112-2-1-12i−2i1-11002-1-21i3i3−i3−i32i−2i−2i2iii−i−i0−ii−332i−2i1-100i3i3−i3−i302-20000000−ii−3−3330−ii−33000000-11i3−i3000000000
χ4822-2-2-12-22-2112-2-1-12i−2i1-11002-1-21i3i3−i3−i3−2i2i2i−2i−i−iii0−ii−332i−2i1-100i3i3−i3−i30-220000000i−i33−3−30−ii−330000001-1−i3i3000000000
χ4922-2-2-12-22-2112-2-1-1−2i2i1-11002-1-21−i3−i3i3i32i−2i−2i2iii−i−i0i−i−33−2i2i1-100−i3−i3i3i30-220000000−ii33−3−30i−i−330000001-1i3−i3000000000
χ5022-2-2-12-22-2112-2-1-1−2i2i1-11002-1-21−i3−i3i3i3−2i2i2i−2i−i−iii0i−i−33−2i2i1-100−i3−i3i3i302-20000000i−i−3−3330i−i−33000000-11−i3i3000000000
χ5122-2-2-12-22-2112-2-1-1−2i2i1-11002-1-21i3i3−i3−i32i−2i−2i2iii−i−i0i−i3−3−2i2i1-100i3i3−i3−i30-220000000−ii−3−3330i−i3−30000001-1−i3i3000000000
χ5222-2-2-12-22-2112-2-1-1−2i2i1-11002-1-21i3i3−i3−i3−2i2i2i−2i−i−iii0i−i3−3−2i2i1-100i3i3−i3−i302-20000000i−i33−3−30i−i3−3000000-11i3−i3000000000
χ5344444-2-4-4-244-2-24-200-2-2-2002-42-4000000000000000000022000000400-400-2-200000000000000002000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2002-42-4000000000000000000022000000-400400220000000000000000-2000000000000000
χ554444-24-4-44-2-244-2-200-2-2-200-42-42000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-200-42-420000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44-24-42-4-4-224-2002-22002-4-240000000000000000000-2200000000004i−4i0000000000000000000−2i2i0000000000000
χ6244-4-44-24-42-4-4-224-2002-22002-4-240000000000000000000-220000000000−4i4i00000000000000000002i−2i0000000000000
χ6344-4-44-2-442-4-4-224-24i−4i2-2200-242-400000000000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000
χ6444-4-44-2-442-4-4-224-2−4i4i2-2200-242-40000000000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000
χ6544-4-4-244-4-4224-4-2-2002-2200-424-200004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ6644-4-4-244-4-4224-4-2-2002-2200-424-20000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ6744-4-4-2-2-44222-22-214i−4i-11-100-2-222−2i3−2i32i32i3000000000−2i2i23−23−2i2i-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ6844-4-4-2-2-44222-22-214i−4i-11-100-2-2222i32i3−2i3−2i3000000000−2i2i−2323−2i2i-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ6944-4-4-2-2-44222-22-21−4i4i-11-100-2-222−2i3−2i32i32i30000000002i−2i−23232i−2i-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ7044-4-4-2-2-44222-22-21−4i4i-11-100-2-2222i32i3−2i3−2i30000000002i−2i23−232i−2i-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ714-44-44400-4-44-44-4400-4-4400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-44400-4-44-44-4400-4-44000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-2400-42-2-442-20022-2000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-2400-42-2-442-20022-2000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-2400-42-2-442-20022-2000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-2400-42-2-442-20022-2000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-44440044-4-4-4-44004-4-422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-44440044-4-4-4-44004-4-4−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200-24-422-4-200-22222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ804-4-444-200-24-422-4-200-22222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ814-4-444-200-24-422-4-200-222−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ824-4-444-200-24-422-4-200-222−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ834-4-44-24004-22-4-42-200-22222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ844-4-44-24004-22-4-42-200-22222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ854-4-44-24004-22-4-42-200-222−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ864-4-44-24004-22-4-42-200-222−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-8444-44-4200-22-20044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-88-4004-884-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40044-44-44200-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-40044-44-44200-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-400-4-444442002-2-242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-400-4-444442002-2-2−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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