Finite Group Databasebeta

← Group #11872968

Character table — Group #11872968

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212124121212121212121224242424242422244488121212122424242412121212122466681212121224244444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1111-1-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-1-111-11111-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111-1111-1-111-111-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1-1-11-1-1111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-111-11-1-111111-1-11-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111-1-11-1-1-11-1-1-111-1-1-111-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-2000000000000020000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-22000022-2-20000000000000-20000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-20000-2-222000000000000020000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-22000022220000000000000-20000000-2002000
χ2122222-122-1-12-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-122220000-1-1000000-1-1-1-1-120-1-1-120000-1-10000-100
χ2222222-122-1-12-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011000000-1-1-1-1-1-20111-20000110000100
χ2322222-122-1-12-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-111111122220000-1-1000000111-1-1-20-1-1-1-20000110000100
χ2422222-122-1-12-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-1111111-2-2-2-2000011000000111-1-12011120000-1-10000-100
χ2522222-122-1-12-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-122-2-20000110000001111120-1-11-20000110000-100
χ2622222-122-1-12-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2220000-1-100000011111-2011-120000-1-10000100
χ2722222-122-1-12-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-111111122-2-2000011000000-1-1-111-20-1-1120000-1-10000100
χ2822222-122-1-12-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-1111111-2-2220000-1-1000000-1-1-1112011-1-20000110000-100
χ292222-122222-12-1-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10000222200-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-122222-12-1-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10000-2-2-2-2001111112-1-1-1-10-200001111000000000
χ312222-122222-12-1-1-122-1-1-1-2-22-12-111112222-1-1-1-1-222-1-111-1-1-2-21111000022-2-200-1-11111-211-1-10-2000011-1-1000000000
χ322222-122222-12-1-1-122-1-1-1-2-22-12-11111-2-2-2-21111-222-1-111-1-1-2-211110000-2-2220011-1-1-1-1-211-1-1020000-1-111000000000
χ332222-122222-12-1-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-10000-2-22200-1-1-1-1-1-1-211110-200001111000000000
χ342222-122222-12-1-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1000022-2-200111111-21111020000-1-1-1-1000000000
χ352222-122222-12-1-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-2-211-1-1-1-1-2-211110000-2-2-2-200-1-111112-1-111020000-1-111000000000
χ362222-122222-12-1-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-2-211-1-1-1-1-2-21111000022220011-1-1-1-12-1-1110-2000011-1-1000000000
χ3722-2-2222-2-2-2-222-222-2-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i00002i−2i00000002-2000000002i−2i000000000
χ3822-2-2222-2-2-2-222-222-2-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i0000−2i2i00000002-200000000−2i2i000000000
χ3922-2-2222-2-2-2-222-22-22-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i00002i−2i0000000-2200000000−2i2i000000000
χ4022-2-2222-2-2-2-222-22-22-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i0000−2i2i0000000-22000000002i−2i000000000
χ4122-2-222-22-2-2-222-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000002-200000000−2i2i000000000002-20000000002i−2i0000
χ4222-2-222-22-2-2-222-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-22000000-2200000000−2i2i00000000000-22000000000−2i2i0000
χ4322-2-222-22-2-2-222-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000002-2000000002i−2i000000000002-2000000000−2i2i0000
χ4422-2-222-22-2-2-222-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-22000000-22000000002i−2i00000000000-220000000002i−2i0000
χ4522-2-2-122-2-2-212-11-12-211-100-212-133−3−32i−2i2i−2i−i−iii02-2-113−3-110033−3−300002i−2i0000−ii−i3−i3i3i303−3-11000000−i3i3−ii000000000
χ4622-2-2-122-2-2-212-11-12-211-100-212-133−3−3−2i2i−2i2iii−i−i02-2-113−3-110033−3−30000−2i2i0000i−ii3i3−i3−i303−3-11000000i3−i3i−i000000000
χ4722-2-2-122-2-2-212-11-12-211-100-212-1−3−3332i−2i2i−2i−i−iii02-2-11−33-1100−3−33300002i−2i0000−iii3i3−i3−i30−33-11000000i3−i3−ii000000000
χ4822-2-2-122-2-2-212-11-12-211-100-212-1−3−333−2i2i−2i2iii−i−i02-2-11−33-1100−3−3330000−2i2i0000i−i−i3−i3i3i30−33-11000000−i3i3i−i000000000
χ4922-2-2-122-2-2-212-11-1-2211-100-212-133−3−32i−2i2i−2i−i−iii0-221-1−33-110033−3−30000−2i2i0000−ii−i3−i3i3i30−331-1000000i3−i3i−i000000000
χ5022-2-2-122-2-2-212-11-1-2211-100-212-133−3−3−2i2i−2i2iii−i−i0-221-1−33-110033−3−300002i−2i0000i−ii3i3−i3−i30−331-1000000−i3i3−ii000000000
χ5122-2-2-122-2-2-212-11-1-2211-100-212-1−3−3332i−2i2i−2i−i−iii0-221-13−3-1100−3−3330000−2i2i0000−iii3i3−i3−i303−31-1000000−i3i3i−i000000000
χ5222-2-2-122-2-2-212-11-1-2211-100-212-1−3−333−2i2i−2i2iii−i−i0-221-13−3-1100−3−33300002i−2i0000i−i−i3−i3i3i303−31-1000000i3−i3−ii000000000
χ5344444-2-4-4-2-24-244-200-2-2-2002-42-4000000000000000000022000000004-4000022000000000000000-200000000000000
χ5444444-2-4-4-2-24-244-200-2-2-2002-42-400000000000000000002200000000-440000-2-2000000000000000200000000000000
χ554444-24-4-444-24-2-2-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-444-24-2-2-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000002-1-1110000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-422-4-24-4-24-422-2002-4-240000000000000-224-400-220000000000000000000000000-220000000000000000000
χ6244-4-44-24-422-4-24-4-2-4422-2002-4-2400000000000002-2-4400-2200000000000000000000000002-20000000000000000000
χ6344-4-44-2-4422-4-24-4-20022-200-242-400000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6444-4-44-2-4422-4-24-4-20022-200-242-400000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6544-4-4-24-44-4-424-22-20022-2004-2-4200004i−4i−4i4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ6644-4-4-24-44-4-424-22-20022-2004-2-420000−4i4i4i−4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ6744-4-4-2-24-4222-2-2214-4-1-110022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000000−331-10000000000000000000
χ6844-4-4-2-24-4222-2-2214-4-1-110022-2-2−23−232323000000000-22-22−23231-10033−3−3000000000000000003−31-10000000000000000000
χ6944-4-4-2-24-4222-2-221-44-1-110022-2-22323−23−230000000002-22-2−23231-100−3−333000000000000000003−3-110000000000000000000
χ7044-4-4-2-24-4222-2-221-44-1-110022-2-2−23−2323230000000002-22-223−231-10033−3−300000000000000000−33-110000000000000000000
χ714-44-444004-44-4-4-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ724-44-444004-44-4-4-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ734-44-44-200-2242-4-4-200-22222−22000022−2222−2200000000000000000−22−22−220000000023−230000000000000000000006−60000000
χ744-44-44-200-2242-4-4-200-22222−22000022−2222−2200000000000000000−22−22−2200000000−2323000000000000000000000−660000000
χ754-44-44-200-2242-4-4-200-222−22220000−2222−2222000000000000000002−22−22−20000000023−23000000000000000000000−660000000
χ764-44-44-200-2242-4-4-200-222−22220000−2222−2222000000000000000002−22−22−200000000−23230000000000000000000006−60000000
χ774-44-4-24004-4-2-422-200-22222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ784-44-4-24004-4-2-422-200-22222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ794-44-4-24004-4-2-422-200-222−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ804-44-4-24004-4-2-422-200-222−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ814-4-444400-44-4-4-44400-44-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-44-4-4-44400-44-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-44-2400-442-42-2-2002-220000006−6−66000023−23−2323000000000006−6−66000000−222200002−2−22000000000000000000000000
χ844-4-44-2400-442-42-2-2002-220000006−6−660000−232323−23000000000006−6−6600000022−220000−222−2000000000000000000000000
χ854-4-44-2400-442-42-2-2002-22000000−666−6000023−23−232300000000000−666−600000022−220000−222−2000000000000000000000000
χ864-4-44-2400-442-42-2-2002-22000000−666−60000−232323−2300000000000−666−6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88444-4-44200-2-2200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-400-44-44442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ908-88-8-4-400-44-44442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ918-8-888-4004-4-84-88-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4444-4200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-4004-4444-4200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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