Finite Group Databasebeta

← Group #11872765

Character table — Group #11872765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212122661212121212122424242424242222448812121212242424246661212246666812121224242444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-11111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11111-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-111-1-11-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-11-1-111-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-11-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-11-1-1111-11111-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-1-1111-1-111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-111111-1-1-11111-1-1-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111111111-1-11-111-1-1-11-1-1-1-1-1-1111-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000002-200-2-2220000000000000000-20000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-20000000000-2200-2-2-2-20000000000000000200002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-20022220000000000000000-200002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-220022-2-2000000000000000020000-2200000
χ2122222-1222-12-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-12000-1-12-100-1-10000-100
χ2222222-1222-12-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-1-200011-2100110000100
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-2-1-122-1-11111110022220000-1-10000111-1-1-2000-1-1-2-100110000100
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-2-1-122-1-111111100-2-2-2-20000110000111-1-12000112100-1-10000-100
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-10022-2-20000110000111112000-1-1-2100110000-100
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-2-2220000-1-1000011111-2000112-100-1-10000100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000022211-2-2-1-11111110022-2-20000110000-1-1-111-2000-1-12100-1-10000100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000022211-2-2-1-111111100-2-2220000-1-10000-1-1-111200011-2-100110000-100
χ292222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-122000022-1-100-1-1-1-12-1-1-1-102-1-10000-1-1000000000
χ302222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-20000-2-2110011112-1-1-1-10-211000011000000000
χ312222-1222-12-122-1-122-1-1-1-2-22-1-1211112222-1-1-1-1-21122-1-1-1-1-2-21111220000-2-2-1-1001111-211-1-10-2-1-1000011000000000
χ322222-1222-12-122-1-122-1-1-1-2-22-1-121111-2-2-2-21111-21122-1-1-1-1-2-21111-2-20000221100-1-1-1-1-211-1-102110000-1-1000000000
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-2000022-1-100-1-1-1-1-211110-211000011000000000
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1220000-2-211001111-2111102-1-10000-1-1000000000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-1-1-2-211-1-1-2-21111-2-20000-2-2-1-10011112-1-11102110000-1-1000000000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-1-1-2-211-1-1-2-21111220000221100-1-1-1-12-1-1110-2-1-1000011000000000
χ3722-2-2222-222-2-2-2-2200-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-22000000002-200002i−2i0000000000000002-2000000002i−2i000
χ3822-2-2222-222-2-2-2-2200-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-2200000000-2200002i−2i000000000000000-2200000000−2i2i000
χ3922-2-2222-222-2-2-2-2200-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-22000000002-20000−2i2i0000000000000002-200000000−2i2i000
χ4022-2-2222-222-2-2-2-2200-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-2200000000-220000−2i2i000000000000000-22000000002i−2i000
χ4122-2-222-2222-2-2-2-222i−2i-22-2002-22-200002i−2i−2i2i2i2i−2i−2i0002i−2i2i−2i2-20000002-2000000−2i2i0000000002i−2i002-2000000000000000
χ4222-2-222-2222-2-2-2-222i−2i-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i0002i−2i2i−2i2-2000000-220000002i−2i0000000002i−2i00-22000000000000000
χ4322-2-222-2222-2-2-2-22−2i2i-22-2002-22-200002i−2i−2i2i2i2i−2i−2i000−2i2i−2i2i2-2000000-22000000−2i2i000000000−2i2i00-22000000000000000
χ4422-2-222-2222-2-2-2-22−2i2i-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i000−2i2i−2i2i2-20000002-20000002i−2i000000000−2i2i002-2000000000000000
χ4522-2-2-12-22-121-2-21-12i−2i1-110021-1-233−3−32i−2i−2i2i−i−iii0−i3i32i−2i−ii-110033−3−32-2000000i−i00−i3−i3i3i30−i3i3−ii00-1100003−3000000000
χ4622-2-2-12-22-121-2-21-12i−2i1-110021-1-233−3−3−2i2i2i−2iii−i−i0−i3i32i−2i−ii-110033−3−3-22000000−ii00i3i3−i3−i30−i3i3−ii001-10000−33000000000
χ4722-2-2-12-22-121-2-21-12i−2i1-110021-1-2−3−3332i−2i−2i2i−i−iii0i3−i32i−2i−ii-1100−3−3332-2000000i−i00i3i3−i3−i30i3−i3−ii00-110000−33000000000
χ4822-2-2-12-22-121-2-21-12i−2i1-110021-1-2−3−333−2i2i2i−2iii−i−i0i3−i32i−2i−ii-1100−3−333-22000000−ii00−i3−i3i3i30i3−i3−ii001-100003−3000000000
χ4922-2-2-12-22-121-2-21-1−2i2i1-110021-1-233−3−32i−2i−2i2i−i−iii0i3−i3−2i2ii−i-110033−3−3-22000000i−i00−i3−i3i3i30i3−i3i−i001-10000−33000000000
χ5022-2-2-12-22-121-2-21-1−2i2i1-110021-1-233−3−3−2i2i2i−2iii−i−i0i3−i3−2i2ii−i-110033−3−32-2000000−ii00i3i3−i3−i30i3−i3i−i00-1100003−3000000000
χ5122-2-2-12-22-121-2-21-1−2i2i1-110021-1-2−3−3332i−2i−2i2i−i−iii0−i3i3−2i2ii−i-1100−3−333-22000000i−i00i3i3−i3−i30−i3i3i−i001-100003−3000000000
χ5222-2-2-12-22-121-2-21-1−2i2i1-110021-1-2−3−333−2i2i2i−2iii−i−i0−i3i3−2i2ii−i-1100−3−3332-2000000−ii00−i3−i3i3i30−i3i3i−i00-110000−33000000000
χ5344444-2-4-44-24-2-24-200-2-2-2002-4-4200000000000000000002200000000004-40000-2-20000000000000000200000000000
χ5444444-2-4-44-24-2-24-200-2-2-2002-4-420000000000000000000220000000000-440000220000000000000000-200000000000
χ554444-24-4-4-24-244-2-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ564444-24-4-4-24-244-2-200-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-44-2-422-4-2002-220024-4-200000000000000000002-2000000004-4000000000000000000000-220000000000000
χ6244-4-44-24-44-2-422-4-2002-220024-4-200000000000000000002-200000000-440000000000000000000002-20000000000000
χ6344-4-44-2-444-2-422-4-24i−4i2-2200-2-442000000000000000−2i2i4i−4i-220000000000000000000000000−2i2i0000000000000000000
χ6444-4-44-2-444-2-422-4-2−4i4i2-2200-2-4420000000000000002i−2i−4i4i-2200000000000000000000000002i−2i0000000000000000000
χ6544-4-4-244-4-242-4-42-2002-2200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-200000000000000−2i2i000000000000000000000000000000
χ6644-4-4-244-4-242-4-42-2002-2200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-2000000000000002i−2i000000000000000000000000000000
χ6744-4-4-2-2-44-2-2222214i−4i-11-100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ6844-4-4-2-2-44-2-2222214i−4i-11-100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ6944-4-4-2-2-44-2-222221−4i4i-11-100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ7044-4-4-2-2-44-2-222221−4i4i-11-100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ714-44-44400-4-4-4-444400-4-4422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ724-44-44400-4-4-4-444400-4-44−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ734-44-44-200-42-42-24-20022-222−22000022−2222−2200000000000000000−22−22−220000000000−2i32i30000000000000000000i6−i60000000
χ744-44-44-200-42-42-24-20022-222−22000022−2222−2200000000000000000−22−22−2200000000002i3−2i30000000000000000000−i6i60000000
χ754-44-44-200-42-42-24-20022-2−22220000−2222−2222000000000000000002−22−22−20000000000−2i32i30000000000000000000−i6i60000000
χ764-44-44-200-42-42-24-20022-2−22220000−2222−2222000000000000000002−22−22−200000000002i3−2i30000000000000000000i6−i60000000
χ774-44-4-24002-42-44-2-20022-222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ784-44-4-24002-42-44-2-20022-222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ794-44-4-24002-42-44-2-20022-2−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ804-44-4-24002-42-44-2-20022-2−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ814-4-444400-4-444-4-44004-4-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-444-4-44004-4-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-44-24002-4-24-42-200-2220000006−6−66000023−23−2323000000000006−6−66000000−222200002−2−22000000000000000000000000
χ844-4-44-24002-4-24-42-200-2220000006−6−660000−232323−23000000000006−6−6600000022−220000−222−2000000000000000000000000
χ854-4-44-24002-4-24-42-200-222000000−666−6000023−23−232300000000000−666−600000022−220000−222−2000000000000000000000000
χ864-4-44-24002-4-24-42-200-222000000−666−60000−232323−2300000000000−666−6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-8-4-44444200-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-4200-2-2242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ908-88-8-4-4004444-4-4200-2-22−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ918-8-888-400-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-4442002-2-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-40044-4-4442002-2-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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