Finite Group Databasebeta

← Group #11870388

Character table — Group #11870388

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424224412121212412121212121212122424242424242444446688121224242424121212121224666812121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111-1-11111-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-111111-111-1-11-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-11-1-1-11111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111111111-111-1-11-1111-1-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1111-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11111111-1-1-1-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1111-1-11111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111-1-111-111-1-1-111-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-111-1-1-1-1-1111111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000002-200002200-2-2000000000002000000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-22000022002200000000000-20000000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-20000002-20000-2-200-2-20000000000020000000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000-220000-2-2002200000000000-2000000000-2200000
χ2122222-122-122-1-12-122-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-1002200-1-12200-1-1-1-12-1-1-1-1200-1-10-1-100000000000
χ2222222-122-122-1-12-122-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-100-2-20011-2-20011112-1-1-1-1-2001101100000000000
χ2322222-122-122-1-12-122-1-1-1-2-2-122-111112222-1-1-1-1-2-1-11122-1-1-2-21111002200-1-1-2-2001111-2-1-111-200110-1-100000000000
χ2422222-122-122-1-12-122-1-1-1-2-2-122-11111-2-2-2-21111-2-1-11122-1-1-2-2111100-2-200112200-1-1-1-1-2-1-111200-1-101100000000000
χ2522222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-100-2-200-1-12200-1-1-1-1-21111-2001101100000000000
χ2622222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-100220011-2-2001111-21111200-1-10-1-100000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-122-111112222-1-1-1-1211-1-1-2-2-1-1-2-2111100-2-200-1-1-2-2001111211-1-1200-1-101100000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-122-11111-2-2-2-21111211-1-1-2-2-1-1-2-21111002200112200-1-1-1-1211-1-1-200110-1-100000000000
χ292222-12222-1-122-1-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-12200220000-1-10000-1-1-1-1-102-100200-1-1-1-10000-100
χ302222-12222-1-122-1-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-1-2-200-2-20000110000-1-1-1-1-10-2100-20011110000100
χ312222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-222-2-2-1-1-1-11111112200220000-1-100001-1-1110-2-100-200-1-1110000100
χ322222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-222-2-2-1-1-1-1111111-2-200-2-200001100001-1-1110210020011-1-10000-100
χ332222-12222-1-122-1-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12200-2-20000-1-10000111110-2-10020011-1-10000100
χ342222-12222-1-122-1-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2002200001100001111102100-200-1-1110000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000002-2-22211-1-11111112200-2-20000-1-10000-111-1-102-100-20011110000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000002-2-22211-1-1111111-2-200220000110000-111-1-10-2100200-1-1-1-10000100
χ3722-2-2222-2-22-22-2-2200-2-2200-22-2200002-22-222-2-20000000-2200000000002i−2i2-20000000000000000000002i−2i00002i−2i000
χ3822-2-2222-2-22-22-2-2200-2-2200-22-2200002-22-222-2-20000000-220000000000−2i2i2-2000000000000000000000−2i2i0000−2i2i000
χ3922-2-2222-2-22-22-2-2200-2-2200-22-220000-22-22-2-2220000000-2200000000002i−2i-220000000000000000000002i−2i0000−2i2i000
χ4022-2-2222-2-22-22-2-2200-2-2200-22-220000-22-22-2-2220000000-220000000000−2i2i-22000000000000000000000−2i2i00002i−2i000
χ4122-2-222-22-22-22-2-222i−2i-2-22002-22-200002-2-22-2-22202i−2i002i−2i2-2000000002i−2i002-20000000002i−2i000000002i−2i00000000000
χ4222-2-222-22-22-22-2-222i−2i-2-22002-22-20000-222-222-2-202i−2i002i−2i2-200000000−2i2i00-220000000002i−2i00000000−2i2i00000000000
χ4322-2-222-22-22-22-2-22−2i2i-2-22002-22-200002-2-22-2-2220−2i2i00−2i2i2-200000000−2i2i002-2000000000−2i2i00000000−2i2i00000000000
χ4422-2-222-22-22-22-2-22−2i2i-2-22002-22-20000-222-222-2-20−2i2i00−2i2i2-2000000002i−2i00-22000000000−2i2i000000002i−2i00000000000
χ4522-2-22-1-2212-2-11-2-12i−2i11-100-1-22133−3−32-2-2211-1-10−ii−i3i32i−2i-110033−3−3002i−2i00-11000033−3−30−ii−i3i3000−i3i30−ii00000000000
χ4622-2-22-1-2212-2-11-2-12i−2i11-100-1-22133−3−3-222-2-1-1110−ii−i3i32i−2i-110033−3−300−2i2i001-10000−3−3330−ii−i3i3000i3−i30i−i00000000000
χ4722-2-22-1-2212-2-11-2-12i−2i11-100-1-221−3−3332-2-2211-1-10−iii3−i32i−2i-1100−3−333002i−2i00-110000−3−3330−iii3−i3000i3−i30−ii00000000000
χ4822-2-22-1-2212-2-11-2-12i−2i11-100-1-221−3−333-222-2-1-1110−iii3−i32i−2i-1100−3−33300−2i2i001-1000033−3−30−iii3−i3000−i3i30i−i00000000000
χ4922-2-22-1-2212-2-11-2-1−2i2i11-100-1-22133−3−32-2-2211-1-10i−ii3−i3−2i2i-110033−3−300−2i2i00-11000033−3−30i−ii3−i3000i3−i30i−i00000000000
χ5022-2-22-1-2212-2-11-2-1−2i2i11-100-1-22133−3−3-222-2-1-1110i−ii3−i3−2i2i-110033−3−3002i−2i001-10000−3−3330i−ii3−i3000−i3i30−ii00000000000
χ5122-2-22-1-2212-2-11-2-1−2i2i11-100-1-221−3−3332-2-2211-1-10i−i−i3i3−2i2i-1100−3−33300−2i2i00-110000−3−3330i−i−i3i3000−i3i30i−i00000000000
χ5222-2-22-1-2212-2-11-2-1−2i2i11-100-1-221−3−333-222-2-1-1110i−i−i3i3−2i2i-1100−3−333002i−2i001-1000033−3−30i−i−i3i3000i3−i30−ii00000000000
χ5344444-2-4-4-244-2-24-200-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-200-422-40000000000000000000220000004-4000000002200000000000-20000000000000000
χ564444-24-4-44-2-244-2-200-2-2-200-422-4000000000000000000022000000-4400000000-2-20000000000020000000000000000
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
χ6144-4-44-24-424-4-22-4-20022-20024-4-200004-44-4-2-22200000002-2000000000000-2200000000000000000000000000000000
χ6244-4-44-24-424-4-22-4-20022-20024-4-20000-44-4422-2-200000002-20000000000002-200000000000000000000000000000000
χ6344-4-4-244-4-4-224-42-20022-200-4-22400000000000000000002-200000000004i−4i00000000000000000000000−2i2i000000000
χ6444-4-4-244-4-4-224-42-20022-200-4-22400000000000000000002-20000000000−4i4i000000000000000000000002i−2i000000000
χ6544-4-4-24-44-4-224-42-24i−4i22-20042-2-400000000000004i−4i00−2i2i-2200000000000000000000000−2i2i000000000000000000000
χ6644-4-4-24-44-4-224-42-2−4i4i22-20042-2-40000000000000−4i4i002i−2i-22000000000000000000000002i−2i000000000000000000000
χ6744-4-4-2-2-442-22-22214i−4i-1-1100-22-222323−23−23000000000−2i2i−2i32i3−2i2i1-100−3−33300000000000000000i−ii3−i30000000000000000000
χ6844-4-4-2-2-442-22-22214i−4i-1-1100-22-22−23−232323000000000−2i2i2i3−2i3−2i2i1-10033−3−300000000000000000i−i−i3i30000000000000000000
χ6944-4-4-2-2-442-22-2221−4i4i-1-1100-22-222323−23−230000000002i−2i2i3−2i32i−2i1-100−3−33300000000000000000−ii−i3i30000000000000000000
χ7044-4-4-2-2-442-22-2221−4i4i-1-1100-22-22−23−2323230000000002i−2i−2i32i32i−2i1-10033−3−300000000000000000−iii3−i30000000000000000000
χ714-44-444004-4-4-4-44400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-444004-4-4-4-44400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-2-4-4224-2002-22−2i22i20000i2−i2i2−i2000023−2323−23000000000−2i22i2i2−i2i2−i2000000000000i6−i6i6−i6000000000000000000000000
χ744-44-44-200-2-4-4224-2002-22−2i22i20000i2−i2i2−i20000−2323−2323000000000−2i22i2i2−i2i2−i2000000000000−i6i6−i6i6000000000000000000000000
χ754-44-44-200-2-4-4224-2002-222i2−2i20000−i2i2−i2i2000023−2323−230000000002i2−2i2−i2i2−i2i2000000000000−i6i6−i6i6000000000000000000000000
χ764-44-44-200-2-4-4224-2002-222i2−2i20000−i2i2−i2i20000−2323−23230000000002i2−2i2−i2i2−i2i2000000000000i6−i6i6−i6000000000000000000000000
χ774-44-4-2400422-4-4-2-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ784-44-4-2400422-4-4-2-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ794-44-4-2400422-4-4-2-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ804-44-4-2400422-4-4-2-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ814-4-444400-4-44-44-44004-4-400000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ824-4-444400-4-44-44-44004-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ834-4-444-2002-442-2-4-200-222000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ844-4-444-2002-442-2-4-200-222000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ854-4-444-2002-442-2-4-200-222000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ864-4-444-2002-442-2-4-200-222000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-84-44-444200-2-22004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-400-44444-4200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-400-44444-4200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-88-4800-84-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-442002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-40044-44-442002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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